On Monday, Jayla raised $ 30 and Carlos raised $ 50. After that, Jayla raised $ 12 per day and Carlos raised $ 7 per day. After how many days will they have raised the same amount? They will raise the same amount after days. (Only type in the number for your final answer)

Answers

Answer 1

Answer:

4 days

Step-by-step explanation:

For Jayla:

[tex]Base\ Amount = \$30[/tex]

[tex]Additional = \$12[/tex] daily

For Carlos:

[tex]Base\ Amount = \$50[/tex]

[tex]Additional = \$7[/tex] daily

Represent the number of days with d

Jayla's expression can be represented using:

[tex]30 + 12*d[/tex]

Carlos' can be represented as:

[tex]50 + 7 * d[/tex]

Equate both expressions:

[tex]50 + 7 * d = 30 + 12 * d[/tex]

[tex]50 + 7d = 30 + 12d[/tex]

Collect Like Terms

[tex]12d - 7d = 50 - 30[/tex]

[tex]5d = 20[/tex]

Solve for d

[tex]d = 20/5[/tex]

[tex]d = 4[/tex]


Related Questions

The relationship between the number of pounds (lb) of trail mix and the price in dollars is shown in the graph. What is the unit price of trail mix? 40 32 Price (dollars) 24 16 2 3 Weight (pounds) 116 3​

Answers

Answer: b - $8/1 lb

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it right :)

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?

Answers

Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

[tex] 1x = 20 [/tex]

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

[tex] x = 20 [/tex]

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?

Answers

Answer:1/r7+1 over 8 and 12

Step-by-step explanation:

The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

r Superscript negative 7 Baseline + s Superscript negative 12

⇒ r ⁻⁷ + s ⁻¹²

Now, We can simplify the expression as;

⇒ r ⁻⁷ + s ⁻¹²

⇒ 1 / r⁷ + 1 / s ¹²

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

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Help me solve this problem please

Answers

Answer:

h(3) = 2

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

To find h(3) substitute x = 3 into h(x), that is

h(3) = | 5(3) - 17 | = | 15 - 17 | = | - 2 | = 2

I need help (please explain the answer and how you got it)

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ok! So you want to find slope! First, you will need two points which you already have. Next, you will want to plot those two points on a graph. Once, you have that you can draw a straight line between the two points and until the end of the graph. After that, you want to find the rise/run or rise over run. Rise meaning up or down and run meaning left or right. Sometimes your problem will want you to keep the rise/run format and sometimes your problem will ask for a who number in which case you will divide your rise/run (rise ÷ run). How to find the rise over run you ask, simple! Draw a line-up or down from your first (or second) point whichever works, until you reach the y-value of your second (or first) point one your two points are connected, count the rise (up or down) and then the run (left or right). If your run goes left its a negative, right a positive. If your rise goes up its a positive, down a negative.

Boom! You know how to find slope!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Dalyn has been asked to consider the following functions:

f (x) = 6x² - 12x + 11
g (x) = 6(x - 1)² + k


Dalyn would like to find a value of a k such that both f(x) and g(x) model the same graph. Help Dalyn solve for the value of k so both functions will represent the same graph.

Answers

Answer:

In order that both functions to represents the same (one) graph then the value of k is 5

Step-by-step explanation:

The given functions are;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k

Expanding the function g(x) gives;

6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k

∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

Comparing with the function for f(x), we have;

f(x) = 6·x² - 12·x + 11

g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k

The difference between the two functions is the constant term, which are;

Constant term for f(x) = 11

Constant term for g(x) = 6 + k

For the two terms to describe exactly the same graph, the constant term should also be equal

We will then have, 11 = 6 + k

∴ k = 11 - 6 = 5

k = 5

For both functions to represent the same graph the value of k = 5.

Translate (-2, -3) up 2 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?

Answers

Answer:

0,1

Step-by-step explanation:

i believe that’s the answer sorry if it’s incorrect

solve the system of equations by the addition method

5x + 2y = 6

4x - 3y = 14​

Answers

Answer: x=2, y=-2

Step-by-step explanation:

1) I will find x first, so make the amount of Ys same

   3(5x+2y=6)

   2(4x-3y=14)

2) 15x+6y=18

    8x-6y=28

3) combine them together so Ys are all cancelled and 23x=46

4) x=2

5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14

6) 8-3y=14

7) -3y=6

8) y=-2

II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

9. H(g(x)) and h(g(f(x)))

Answers

Answer:

[tex]h(g(x))=x^2+x-2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

The composite function can be found by substituting g into f.

We are given these functions:

[tex]f(x)=9-x[/tex]

[tex]g(x)=x^2+x[/tex]

[tex]h(x)=x-2[/tex]

Find:

a) h(g(x))

Substituting g into h:

[tex]h(g(x))=x^2+x-2[/tex]

b) h(g(f(x))

First we find g(f(x)):

[tex]g(f(x))=(9-x)^2+(9-x)[/tex]

Operating:

[tex]g(f(x))=81-18x+x^2+9-x[/tex]

Simplifying:

[tex]g(f(x))=90-19x+x^2[/tex]

Now find h(g(f(x)) replacing the above equation into h:

[tex]h(g(f(x))= 90-19x+x^2-2[/tex]

Simplifying and rearranging:

[tex]h(g(f(x))= 88-19x+x^2[/tex]

[tex]h(g(f(x))= x^2-19x+88[/tex]

whats the answer to 6/2(1+2)=

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

6/[2(1+2)]

Using PEMDAS

parentheses first

6/[2 (3)]

6/6

1

Find the volume of a rectangle box given the length of x, width of (x-2) and height of (3x+5)

Answers

They answer is 3*x+5

Answer:

3x^3 − x^2 − 10x

Step-by-step explanation:

V= l*w*h

V= x * (x-2) * (3x+5)

V= (x(x−2)) (3x+5)

= (x(x−2)) (3x) + (x(x−2)) (5)

= 3x^3 − 6x^2 + 5x^2 − 10x

=3x^3 − x^2 − 10x

Which one of these show the multiplication property of equality? I know what is it I just don’t see it on here, 5 and 9 both look like the substitution property but I don’t know.

Answers

Answer:

5 is c 9 is f

Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
students found that the height, in feet, h, of the ball above the ground as a function of the number of seconds, t, since
it wasdropped was given by h(t) = 10 - 2t^2
1. Determine an appropriate domain for the given scenario. Record your domain in both interval and set builder
notation.
Interval:
Set-Builder:
Justify your reasoning for choosing the above boundaries on your domain using the context of the problem.
How would the domain for this function differ if we were looking at it outside of the context of this problem?

Answers

Answer:

Interval notation: [0, 2.236]

Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

[tex]h(t) = 10 - 2t^2[/tex]

Where [tex]t[/tex] is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be 0 seconds.

And the value of height can not be lesser than that of 0 ft.

[tex]0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds[/tex]

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

Interval notation: [0, 2.236]

Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]

(w-2) (w+5)
I need help I don't understand ...

Answers

Answer: w^2 + 3w - 10

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

Work Shown:

Let x = w-2

This will allow us to replace the (w-2) with x to get...

(w-2)(w+5)

x(w+5)

x*w + x*5 ... distribute

w(x) + 5(x)

Now replace x with w-2 and distribute again

w(x) + 5(x)

w(w-2) + 5(w-2)

w*w + w*(-2) + 5*w + 5*(-2)

w^2 - 2w + 5w - 10

w^2 + 3w - 10

(w-2) (w+5)
w^2 + 5w - 2w - 10
w^2 + 3w - 10

Half note times a whole note plus 2 quarter notes minus 3 half notes
equals...?

A. 2
B. 4
C. 6
D. 8

Answers

B is your answer bc 2 times 4 is 8 plus 2 minus 6 is

35% of the students in Mr. Simmons’ math class liked last nights’ homework. If there were 49 students who liked last nights’ homework, how many total students does Mr. Simmons teach?

Answers

Answer:

the answer should be 140

Step-by-step explanation:

even integers from 11 and 111​

Answers

Answer:

Please see below :)

Step-by-step explanation:

Integers - Whole numbers (no fractions or decimals!)

11 to 111

12, 14, 16, 18, 20

22, 24, 26, 28, 30

32, 34, 36, 38, 40

42, 44, 46, 48, 50

52, 54, 56, 58, 60

62, 64, 66, 68, 70

72, 74, 76, 78, 80

82, 84, 86, 88, 90

92, 94, 96, 98, 100

102, 104, 106, 108, 110

Hope this helped!

The masses of two objects are compared during Mrs. Mobley’s Science experiment. It is determined that object A has a mass of 3 × 10^−2 grams and object B has a mass of 2 × 10^−3 grams. Mrs. Mobley offers extra credit to the first team that can determine how many times larger is the mass of object A than the mass of object B?

Answers

Answer:

15 times larger than b

Step-by-step explanation:

=3×10^-2/2×10^-3

=15×10^-1×10^+1

=15

does anyone know it i think ik it but im not sure so i need help

Answers

Answer:

The "if" part is the hypothesis.

The "then" part is the conclusion.

Hypothesis: an animal is a poodle

Conclusion: it is a dog

HELP PLZ DUE IN 30 MINUTES The Multiplication of Polynomials

Answers

Answer:

(x-1)(x^3+4x^3-1)=(x-1)(5x^3-1)

Step-by-step explanation:

The aspect ratio of a rectangular shape is its length (L) divided by its width (W). It is expressed as L:W or L/W. If the aspect ratio of a chalkboard is 12:7 and the length is 36 in, what is the width of the chalkboard?

Answers

Answer:21

Step-by-step explanation:12 times three is 36 and 7 times 3 is 21

HELP PLEASE WHATS NOT A FUNCTION

Answers

Answer
D
Why?
Because one of the x value is used twice

Jennifer's bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance. f(x) = 12x + 45 William's bank account balances after weekly deposits are showing in the following table. How much money was in Jennifer’s account when it was opened?

Answers

Answer:

30

Step-by-step explanation:

The money that was in Jennifer’s account when it was opened should be 30.

Calculation of the money:

Since

Jennifer's bank account is modeled by the following equation

where x equals the number of weeks and f(x) equals the total balance.

And, the equation is f(x) = 12x + 45.

So here as per the attached graph, so the money should be 30.

Learn more about money here: https://brainly.com/question/3046341

Record the length of this line shown in centimeters.

Answers

Answer:

12

Step-by-step explanation:

the ruler measured 12

how much more can you simplify this

Answers

You can simplify it to (x-5)
you can simply by a fish because why not

PLEASE HELP ME ASAP!

Divide.

(2x^3 - 5x^2 + 7) divided by (x - 2)

Answers

Answer:

2x^2 -x - 2 + (3/x-2)

Step-by-step explanation:

$1995 at 6.5% for 10 years.​

Answers

answer:

10 times 6 is 60 plus 5 is 65 carry the 5 you've got

1995

+

565

=

2560

step-by-step explanation:

and that's on periodt

Mike had some candy to give to his four
children. He first took two pieces for
himself and then evenly divided the rest
among his children. Each child received
two pieces. With how many pieces did he
start?

Answers

10 pieces there was five people each got two pieces
^yeah what he said!!!

Nadya has 19 1/4 yards of ribbbon she cuts ribbon into peices that measure 1 3/4 how many pieces of ribbon doe Nadya have?

Answers

Answer:

11

Step-by-step explanation:

Well basically i took 19 1/4 and divided it by 1 3/4 and there for i got 11. YOUR WELCOME.

There are 11 pieces of ribbon doe Nadya have.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Nadya has 19 1/4 yards of ribbon she cuts ribbon into pieces that measure 1 3/4.

Now, We can find the number of pieces as;

⇒ 19 1/4 ÷ 1 3/4

⇒ 77/4 ÷ 7/4

⇒ 77/4 × 4/7

⇒ 77/7

⇒ 11

Therefore, There are 11 pieces of ribbon doe Nadya have.

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please i need help!!! Beth enlarged the triangle below by a scale of 5.


A triangle with a base of 4 centimeters and height of 3.5 centimeters.



She found the area of the enlarged triangle. Her work is shown below.


One-half (4) (3.5) (5) = 35 centimeters squared

Answers

Answer:

Your answer is: There is a mistake in Beth's answer the mistake was that she multiplied the area of the original triangle by the scale factor.

Step-by-step explanation:

Hope this helped : )

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