A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the
revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.
2.1). Write an expression for net profit for C cars.
2.2). If the number of cars serviced in a particular month is 3000, find the profit
2.3). If the number of car serviced in a particular month is 900, then the garage got a
profit. True / false.

Answers

Answer 1

Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.

What is the equation?

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

For C no of cars

=> Profit = total earning in a month - Expense in a month

=> (25-6)C - (23500-6000)

=> P = 19C-17500

If 3000 cars serviced then,

=> Profit = 19(3000)-17500

=> Profit = 39500

If no of cars received in particular month is 900 then profit or loss

=>Profit = 19(900)-17500

=> Profit = -400

That is loss.

Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1


Related Questions

The measure of the exterior angle of the triangle is

Answers

The measure of the exterior angle of the triangle is 139°.

What is an exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the two given angles are 75° and 64° and exterior angle is 2.

Now, ∠2=75°+64°

∠2=139°

Therefore, the measure of the exterior angle of the triangle is 139°.

Learn more about the exterior angle theorem here:

brainly.com/question/2995226.

#SPJ1

What baseball stat does Lawrence Hinman suggest is the most important stat for determining the best player in the game in a given year

Answers

A range of fundamental, unchanging values may exist in the world, according to ethical pluralism.

What is meant by Ethical Pluralism?

According to ethical pluralism, the world may contain a variety of essential and unchangeable values. There may be more, but happiness and respect for people are two possible ones.

The notion of ethical plurality holds that there are various beliefs about what is "good" and "wrong" (moral norms), some of which may be incompatible and/or out of line with your own personal moral standards. Working in foreign societies, where you could encounter varying norms, is a component of international involvement.

The conviction that there are various viewpoints on a subject, each of which has some truth, but none of which contains the complete truth the conviction that while each moral theory somewhat captures the essence of what it means to live morally, none has the whole picture.

To learn more about Ethical Pluralism refer to:

https://brainly.com/question/10705183

#SPJ4

Lawrence Hinman does not have a clear statement on the best baseball stat for determining the best player in a given year.

What do you mean by statistics?

Statistics are a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. In baseball, statistics are used to measure the performance of individual players, teams, and even entire leagues. Some common baseball statistics include batting average, home runs, runs batted in, earned run average, and wins. These statistics are used to evaluate the performance of players, compare them to other players, and even predict future performance.

What are some common baseball statistics?

Baseball statistics are a set of metrics used to measure the performance of individual players and teams in baseball. Some common baseball statistics include:

Batting average (BA)Home runs (HR)Runs Batted In (RBI)Wins (W)

It is likely that different analysts and experts would have different opinions on which stat is the most important for determining the best player in a given year. Some might argue that traditional stats like batting average, home runs, and RBIs are the most important, while others might argue that newer stats like on-base percentage, slugging percentage, and WAR are more informative.

To learn more about statistics visit:

https://brainly.com/question/29093686

#SPJ4

For the given logistic function,
21
f(x) = 1 + 2(0.94)*
The y-intercept = (0, [?])
For x ≥ 0, the horizontal asymptote is y =

Answers

Answer:

x) = 1 + 2(0.94)*

The y-intercept = (0, [?])

For x ≥ 0, the horizontal as

3 Write an equation for each function, where x is the
number of months and y is the amount owed.
Mr. Allen's plan:
Mr. Jessup's plan:
rriculum Associates, LLC Copying is not permitted.
In
-L-
ODPPY LINAL

Answers

The y-intercept represents the loan amount initially. And the rate of change of the function will be negative The equation of Mr. Allen's plan will be y = - 80x + 560 and Mr. Jessup's plan will be y = - 40x + 400.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept of the line represents the value of the loan initially.

From the graph, the slope of both lines is negative, then the rate of change of the function will be negative.

Let 'x' be the number of months and 'y' be the amount owed.

The two points are (0, 560) and (1, 480). Then the equation of the line is given as,

(y - 560) = [(560 - 480) / (0 - 1)](x - 0)

y - 560 = - 80x

y = - 80x + 560

And the equation of the line for Mr. Jessup's plan will be given as,

y = - 40x + 400

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Here are several function rules. Calculate the output for rules 1–5 when you use -6 as the input for each rule. Simplify fractions and express in the form a/b if necessary and use the word pi for π
.

Answers

Answer: 13,36,-2,-2,pi

Step-by-step explanation:

You do exactly what it says for the rule to -6 to get your answer.

Is the Z or Y axis vertical?

Answers

Answer:

yes!

Step-by-step explanation:

the y axis vertical, and the x axis is horizontal!

Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?

Answers

The total number of cookies baker sold in all are 350 cookies.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.

Let the total number of cookies be x.

Now, 38% of x=133

38/100 ×x=133

x=13300/38

x=350

Therefore, the total number of cookies baker sold in all are 350 cookies.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

decide whether the function is a polynomial function. If so right it in standard form and state it’s degree type in leading coefficient if so write it in standard form and state its degree type in leading coefficient P(x)=-3x^2+10-4x

Answers

For the polynomial p(x) = -3x² - 4x + 10, the degree is 2 and the leading coefficient is -3

What is an polynomial?

Polynomials consist of exponents of variables and numbers forming an equation using operations of addition and subtraction.

Polynomial is an expression composed of variables, constants and exponents combined using mathematical operations such as addition, subtraction, multiplication

Given the polynomial:

p(x) = -3x² + 10 - 4x

Rewriting the polynomial in standard form is done by rearranging based on exponents. Hence:

p(x) = -3x² - 4x + 10

The degree is 2 (x²) and the leading coefficient is -3(-3x²)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

. If a population of college student ages is skewed right, then this indicates: a. there are a greater number of older students b. the modal age is greater than the median age c. as the age of a student increases, the frequency of the student ages increases. d. there are more younger students within the population e. not enough information

Answers

The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.

A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.

Option a. there are a greater number of older students is also correct, but it is not complete.

Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.

Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.

Option e. not enough information is not correct as the question is providing enough information to make a conclusion.

To learn more about the skewed right population, visit:

brainly.com/question/3907939

#SPJ4

On may 4th, an investor writes one s&p 100 jan 185 put at 6. His maximum potential gain on this position is:

Answers

An investor writes a s&p 100 Jan. 185 put at $6 on May 4. In this situation, his function maximum potential benefit is $600.

Define function.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

what is benefit?

A benefit is a positive outcome or advantage that results from something. It can refer to the positive aspects or advantages of a product, service, or action, and can be tangible or intangible. Benefits can include increased efficiency, cost savings, improved safety, increased customer satisfaction, and many other positive outcomes.

Here,

As a put buyer, the most you may lose is the premium you previously paid to purchase the put option.

The option price must be reduced to equal the strike price less any already-paid premium in order to break even.

The strike price less the premium is your maximum gain as a put buyer. The most bullish option strategy is thought to be purchasing call options.

This tactic allows the buyer of the call option the choice, but not the responsibility, to purchase the stock at a certain price at a precise moment.

Whenever the price of the security increases using this approach, the buyer benefits. A long position is one in which a call or put option is purchased or held.

Investors have the option of purchasing from or selling to the other investor at a predetermined price.

On the other hand, a short position is when you sell a call or put option. Writers must purchase from people holding long positions or buying options.

To know more about function visit:

brainly.com/question/28193995

#SPJ4

On May 4th an investor writes on s&p 100 Jan 185 put at $6. his function maximum potential gain in this position is $600.

Define function.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

Your maximum loss as a put buyer is the premium already paid to buy the put option. To break even the option price must be lowered to cover the strike price minus the premium already paid. Your maximum profit as a put buyer is the strike price minus the premium. Buying call options are considered the most bullish options strategy.

This strategy gives the call option buyer the right but no obligation to buy the security at a specific price at a specific time. With this strategy, the buyer benefits when the price of the security rises. Buying or holding a call or put option is a long position. Investors have the right to buy or sell to the writing investor at a specified price. Conversely selling or selling a call or put option is a short position. Writers must buy or sell from long position holders or option buyers.

To learn more about an investor visit:-

brainly.com/question/28175452

#SPJ4

A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?

Answers

Submarine must descend 17 feet in the 5th minute.

What is the average of the data?

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine

= (Total distance distended/ Duration or time)

= (6 + 8 + 14 + 15 + x) / 5

= (43 + x) / 5

Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"

So the inequality for the statement will be,

(43 + x) / 5 ≥ 12

43 + x ≥ 60

x ≥ 17

Therefore, submarine must descend 17 feet in the 5th minute.

To know more about average of the data, click on the link

https://brainly.com/question/20003697

#SPJ1

In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 7 times out of 10 attempts. tasha has hit the ball 10 times out of 16 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.7 < 0.625 tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Answer: i need your help, XD

Step-by-step explanation:

how do i answer this question

Answers

The constant of variation for the given data is 1/4.

What is the constant of proportionality?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Given that the data in the table is,

x        f(x)

-8       -2

-4       -1

0        0

4         1

8        2

The constant of proportionality will be calculated as,

F(x) = kx

-2 = k x -8

k = -2 / -8

k = 1 / 4

Here, the proportionality constant will be 1/4.

To know more about the constant of proportionality follow

https://brainly.com/question/28413384

#SPJ1

what is the x-intercept of the graph of the equation 3x-4y=20

Answers

Answer:

(20/3,0) is your x-intercept

Step-by-step explanation:

To find x-intercept, let y = 0

[tex] \displaystyle{3x = 20}[/tex]

Solve for x, divide both sides by 3:

[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]

Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0

Speedometer readings for a motorcycle at 12-second intervals are given in the table.
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
(a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals.
ft
(b) Give another estimate using the velocities at the end of the time periods.
ft
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.

Answers

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

To learn more about time interval, click on the below link:

https://brainly.com/question/29675356

#SPJ1

What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answers

The x-coordinate of the solution of the system of equations is x = 20/3

What is the x-coordinate of the solution?

Here we have a system of equations below:

3x - y = 6

3x + y = 34

And we want to find the x-cordinate of the solution, so we need to solve this for x.

We can use the elimination method, you can see that if we add both equations we will get:

(3x - y) + (3x + y) = 6 + 34

6x = 40

x = 40/6

We can simplify that fraction to get:

x = 20/3

That is the x-coordinate of the solution.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

How to solve a function?

Answers

To solve a function, you must determine the value of the function for a given input. This requires finding the equation for the function and then plugging in the given input to find the output. For example, if the function is f(x) = x2 + 2x - 5, and the given input is 3, then the output of the function is f(3) = 12.

1. Substitute the given input, x = 3, into the equation.

2. Simplify the equation:  f(3) = 32 + 2(3) - 5

3. Solve the equation:  f(3) = 9 + 6 - 5

4. Simplify the equation: f(3) = 12

5. Therefore, the output of the function is f(3) = 12.

To solve a given function, you must first determine the equation for the function. Then, you must substitute the given input into the equation and solve it. In this example, the given input was 3 and the equation for the function was f(x) = x2 + 2x - 5. After plugging in the input of 3, the equation was simplified to f(3) = 9 + 6 - 5, which was further simplified to f(3) = 12. Therefore, the output of the function is f(3) = 12.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

do it

Step-by-step explanation:

somebody help please

Answers

Answer:

Step-by-step explanation:

because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,

we konw, AR=HD, They have a common segment HR, as well as the same angle,so HRA≅RHD

PLEASE I NEED HELP ASAPPPP!!!!!


The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October: A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October

Part A: Using computer software, a correlation coefficient of r = 0. 51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)

Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)

Answers

A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.

What is a Scatter Plot?

A scatter plot with a trendline along which the data points are situated can be used to demonstrate the relationship between correlated variables.

Indicating a positive correlation is when the trendline slopes higher from left to right, while the opposite is true.

Part A:

The correlation coefficient of r = 0.51 is valid based on the provided scatter plot.

Part B:

The amount of fertilizer applied in connection to the kilograms of pumpkins harvested on the farm can be a scenario where a causal relationship exists.

Hence, A situation where there might be a causal relationship could be the amount of fertilizer utilized in proportion to the kilograms of pumpkins harvested on the farm.

To learn more about Scatter Plot visit:

brainly.com/question/6592115

#SPJ4

Write in point-slope form an equation of the line that passes through the point (1, 3) with slope -2

y- ⬜= ⬜(x- ⬜)

Answers

Consequently, y-1 = 2 is the point-slope form linear equation for the line passing through (1, 3) and having a slope of 2. (x-3).

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Y = mx + c in this instance.

(y- y₁) = m(x - x₁)

where,

The coordinate for the x-axis is x and x1,

The coordinate for the y-axis is y and y1.

The slope of the line is m, and

The y-intercept can be represented by the letter c.

Replace the value of the slope and the point in the general equation to obtain the equation for the line passing through (1, 3) and having a slope of 2.

y-1 = 2(x-3) (x-3)

Consequently, y-1 = 2 is the point-slope form equation for the line passing through (1, 3) and having a slope of 2. (x-3).

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Please Answer ASAP!
Will give 85 points for answer!

Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class. If the ratio of students who prefer free time at the beginning of class to students who prefer free time at the end of class is 13 over 17, what does the ratio 13 over 17 represent?

Answers

Answer:

Step-by-step explanation:

Based on the fact that Ms. Michaels surveyed her class on whether they preferred free time at the beginning of class or at the end of class and found that students who prefer free time at the end of class are 12 over 19, the thing which the ratio 12 over 19 represents is C. 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.

What is a Ratio?

This refers to the quantitative relation that is used to show the relation between two variables, which shows the number of times one is contained in the other.

Hence, it can be seen that based on the result of the survey by Ms. Michaels about the preference of the students about free time at the beginning of class or at the end of class, the meaning of the ratio is that 12 students prefer free time at the beginning of class, and 19 students prefer free time at the end of class.

Answer:

Step-by-step explanation:

the ratio 13 over 17 represents how many students preferred free time at the beginning of class to how many students preferred free time at the end of class.a little extra: more people want free time at the end of class than at the beginning

How many solutions will the following system have? 4x+y=13 1/2}y=-2x+5

Answers

Step-by-step explanation:

I have to assume the equations are

4x + y = 13

(1/2)y = -2x + 5

let's bring both of them into a "y = ..." form :

y = -4x + 13

y = -4x + 10

now we see that both equations are lines with the same slope but different y-intersect.

so, they are parallel but not identical.

therefore, there are 0 solutions. the lines will never intersect and have no point in common.

A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. a. What is the probability that all three marbles are red when you replace each marble before selecting the next marble? Round your answer to the nearest tenth. about % b. What is the probability that all three marbles are red when you do not replace each marble before selecting the next marble? Round your answer to the nearest tenth. about %

Answers

Answer:

A) 9.1%

B) 7.4%

Step-by-step explanation:

Part A

Because you are replacing each marble before selecting the next, the probability of choosing one red marble remains the same, so choosing 3 red marbles with replacement would mean the probability gets multiplied by itself 3 times:

[tex]\displaystyle P(\text{Red+Replace})=\biggr(\frac{9}{20}\biggr)^3=\frac{9}{20}*\frac{9}{20}*\frac{9}{20}=\frac{729}{8000}\approx9.1\%[/tex]

Part B

[tex]\displaystyle P(\text{Red+No Replace})=\frac{C(9,3)C(4,0)C(7,0)}{C(20,3)}=\frac{\frac{9!}{3!(9-3)!}}{\frac{20!}{3!(20-3)!}}=\frac{\frac{9*8*7}{3*2*1}}{\frac{20*19*18}{3*2*1}}=\frac{9*8*7}{20*19*18}=\frac{7}{95}\approx7.4\%[/tex]This can also be calculated with [tex]\frac{P(9,3)}{P(20,3)}[/tex] because the order does matter in which you pick the 3 red marbles with no replacement.

Answer:

9.1%

7.4%

Step-by-step explanation:

I need serious help !!

Answers

Answer:   Choice B)  11

================================================

Explanation:

The x and y are placeholders for numbers.

Think of them as boxes so to speak, and we fill each box with a number.

In this case we will plug in x = 6 and y = 2.

The steps are shown below.

[tex]\frac{3\text{x}+4}{\text{y}}\\\\\frac{3*6+4}{2}\\\\\frac{18+4}{2}\\\\\frac{22}{2}\\\\11\\\\[/tex]

The final answer is choice B

-----------

This means,

[tex]\frac{3\text{x}+4}{\text{y}} = 11 \ \text{when} \ \text{x} = 6 \ \text{and y} = 2 \\\\[/tex]

Put another way

[tex](\text{x},\text{y}) = (6,2) \ \text{ is a solution to } \frac{3\text{x}+4}{\text{y}} = 11[/tex]

In a visual sense, the point (6,2) is on the equation of [tex]\frac{3\text{x}+4}{\text{y}} = 11[/tex]

which postulate proves the two triangles are congruent

Answers

Answer:

SSS

Step-by-step explanation:

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle it is known was SSS congruence

Suppose that $x$ is directly proportional to $y$. Let $x_1, x_2$ be two values of $x$ such that $\frac{x_1}{x_2} = 4$. Let their corresponding values be
$y_1$, $y_2$ respectively. If at least one of $y_1, y_2$ is nonzero, find $\frac{y_2}{y_1}$.

Answers

If at least one of $y_1, y_2$ is nonzero, then $\frac{y_2}{y_1}$ = $\frac{1}{4}$

If x is directly proportional to y, we can write this as x = ky for some constant k.

Since $\frac{x_1}{x_2} = 4$, we can write it as $x_1 = 4x_2$.

Now, substituting the value of $x_1$ in equation x = ky gives

$4x_2 = ky_1$.

Also, since x = ky, we can write $x_2 = ky_2$.

Now, we can substitute the value of $x_2$ in the equation $4x_2 = ky_1$

So, $4ky_2=ky_1$, which gives $\frac{y_2}{y_1} = \frac{1}{4}$

Therefore, $\frac{y_2}{y_1}$ = $\frac{1}{4}$ when x is directly proportional to y and $\frac{x_1}{x_2} = 4$.

To learn more about direct proportion:

https://brainly.com/question/28908934

#SPJ4

What is the solution for 3x 2y 5?

Answers

The solution for 3x 2y 5 is x = 0 and y = -2.5

The solution for 3x 2y 5 can be found by first rewriting the equation in standard form, which is ax + by = c. In this case, the standard form would be 3x + 2y = -5.

Next, we can calculate the value of y in terms of x by using the following formula:

y = (c - ax) / b

Substituting in the values, we get:

y = (-5 - 3x) / 2

Now, we can substitute this expression for y into the original equation to solve for x:

3x + 2((-5 - 3x) / 2) = -5

3x + (-5 - 3x) = -5

6x + -5 = -5

6x = 0

x = 0

Finally, substituting x = 0 into the expression for y, we get:

y = (-5 - 3(0)) / 2

y = (-5 - 0) / 2

y = -5 / 2

y = -2.5

The solution for 3x 2y 5 is x = 0 and y = -2.5

Learn more about solution here:

https://brainly.com/question/22826207

#SPJ4

S(5-4-2) and y (1 7)

Answers

Answer:

i do not not the answer of this question

a) Complete the prime factor trees for 24 and 40:
24
2
2
6
2
40
2
2
3
b) What is the Lowest Common Multiple of 24 and 40?
2
2
1
5
Submit Answer

Answers

Answer:

a)

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 120

Step-by-step explanation:

a)

                 24                                      40

              /       \                                  /      \

            2         12                           2         20

                      /     \                                   /      \

                    2       6                               2      10

                           /     \                                     /    \

                        2         3                               2       5

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 2³ × 3 × 5

LCM = 120

Ana and Darryl answered 80 calls. Ana answered 4 times as many as Darryl. How many calls did ana answer

Answers

There were 64 calls that Anna answered in this algebra question,

What is Answered calls?

Total engaged calls, another name for answered calls, is a measurement of all incoming calls that were handled by an agent during regular business hours.

Solution:

If Ana answers more calls than Darryl does, then let D be the number of calls Darryl Answered.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

    = 16

To know more about algebra visit:-

brainly.com/question/24875240

#SPJ4

According to the algebra, Ana answered 16 calls,

What is algebra, exactly?

The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we use numbers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine numbers with variables like x, y, and z.

Solution:

Let D be the number of calls Darryl answered if Ana answers more calls than he does.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

   = 16

To know more about algebra visit:-

brainly.com/question/24875240

#SPJ4

Other Questions
What are the key points in Group Discussion? March Madness Movies served 2323 lemonades out of a total of 111111 fountain drinks last weekend. Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade? Mr. Fraser signs up for a math class in thesummer, and at the end of each week there isa 5 questions multiple choice test. Eachquestion has four options/answers.On week 3, out of curiosity, he decides torandomly pick the answer for each of the fivequestions (he doesn't even read thequestions-just circles one of the fouroptions!)What is the probability that he will pass usingthis method? Do you think he will regret thisexperiment? hello i need help with my math question please thank. Why O'Brien lied to his daughter about killing someone in the war? 2. Why might it be beneficial for a photographer to have a polarizing filter for their camera when taking pictures outdoors What factors determine interest rate ? How did Americans react to the Selective Service Act? Read the excerpt from "How the Grimm Brothers Saved the Fairy Tale. " Which idea does the author develop with the text example cited in the excerpt? What are the approximate solutions of 4x2 3 12x to the nearest hundredth? HELP ASAP! (20 POINT CUZ I NEED DONE ASAP) In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.7 < 0.625 Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 Jana, because she has the lowest ratio since 0.7 < 0.625 Did (Washington, Idaho, Montana, Nevada, Utah, Wyoming, Colorado, North Dakota) had coal deposits and / or counties with over 2,500 manufacturing jobs? Yes or no?(i need the response for each states!!!) The_____gene shows up even when inherited only from one parent. Which type of rock is marble? A painting company has determined that for every 112 square feet of wall space, one gallon of paint and eight hours of labor will be required. The company charges $35.00 per hour for labor.Write a function named compute_cost(), that takes area of wall space and the price of a paint gallon. Function then computes the following:The number of gallons of paint requiredThe hours of labor requiredThe cost of the paintThe labor chargesThe total cost of the paint jobFinally it returns the total cost to the calling programWrite the main() function that prompts the user to enter area of wall space to be painted and the price of a paint gallon. The main function then calls compute_cost() function to compute the cost and prints the total cos.Make sure it is in python program What type of resource is solar and wind? You are on roller blades on top of a small hill. Your potential energy is equal to 1000 joules. The last time you checked your mass was 60.0 kilograms. What is the height of the hill 1. What is themomentum of a 1.5 103-kilogram caras it travels at 30. meters per second due east for 60.seconds?A) 4.5 x 104 kg m/s, eastB) 4.5 x 104 kg.m/s, westC) 4.5 x 106 kgm, eastD) 4.5 x 106 kgm, west Splitting up the value chain is when many of the different stages of producing a good happen in different geographic locations. thousands of genes make up a single _______________, a double helix dna molecule wrapped around proteins.