Answer: x= -2, -3
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
6(x+4)=30
how do i solve this?
One computer in a lab is programmed to back up data at the turn of the minute every five minutes. Another computer is programmed to back up data at the turn of the minute every two minutes. Find the number of times in twenty-four hours that the two computers back up data at the same time.
(Assume that the computers do not back up at the start of the 24-hour period.)
Answer:
Since the two computers back up at different intervals, we can find the least common multiple of the two intervals to determine how often they back up at the same time. The least common multiple of 5 and 2 is 10. Therefore, the two computers will back up at the same time every 10 minutes. In 24 hours, there are 60 minutes/hour * 24 hours = 1440 minutes. Dividing this by the interval of 10 minutes gives 1440 minutes / 10 minutes/backup = 144 backups. Therefore, the two computers will back up at the same time 144 times in 24 hours.
Step-by-step explanation:
A tore i having a ale on almond and jelly bean. For 5 pound of almond and 2 pound of jelly bean, the total cot i $12. For 3 pound of almond and 8 pound of jelly bean, the total cot i $31. Find the cot for each pound of almond and each pound of jelly bean
b = $3.5 the cost of each pound of jelly beans.
a = $1, the cost of each pound of almonds
What is the elimination method?
The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.
Here,
We let a be the almond and b be the jelly bean.
5a + 2b = $12....(1)
3a + 8b = $31....(2)
...Solving by elimination method.
5a = 12 - 2b
a = (12 - 2b)/5
Now, we put the value of a in equation(2)
3a + 8b = $31
3(12 - 2b)/5 + 8b = 31
(36 - 6b)/5 + 8b = 31
36 - 6b + 40b = 155
34b = 155 - 36
34b = 119
b = $3.5 the cost of each pound of jelly beans.
a = $1, the cost of each pound of almonds.
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Give 2 numercial expressions that can be compared without calculating the values. Explain.
The numercial expressions that can be compared without calculating the values include:
3x^2 + 4x - 5 > 2x^2 + x - 3
2/x < 4/x
How to illustrate the expressionIn 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.
For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.
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On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.
The mean is lower than the mode which is lower than the median.
What is skewed?A skewed curve is a type of statistical distribution in which the data is unevenly distributed. It is often referred to as an asymmetric distribution, meaning that the two halves of the curve look different. Skewed curves can be either positively or negatively skewed, depending on which direction the data points are shifted. Positively skewed curves tend to have a long tail to the right, while negatively skewed curves have a long tail to the left. This type of distribution is commonly seen in real-world data, such as income or wealth distributions.
A negatively skewed curve is characterized by a tail on the negative side of the graph. This means that the data points have a higher probability of being lower than the mean. As such, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic average of all of the data points, the mode is the most frequent value, and the median is the midpoint of the data points.
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Which statement best describes a line graph?
A. It shows a line that connects a series of data
points.
B. It shows a line passing through scattered data points.
C. It shows data as proportions of a whole.
D. It shows the locations of errors in data.
Answer:
A
Explanation:
A line graph is a unique type of graph which is used in statistical application which represents the change in a quantity with respect to another quantity.
The price of different flavors of chocolates varies which can be represented, these variation is plotted in a two-dimensional XY plane.
If the relation include two measures can be presented by using a straight line in a graph called as linear graphs or a linear graph.
There are different types of the line graph, Simple Line Graph refers to Only one line is plotted on the graph, Multiple Line Graph where More than one line plotted on the same set of axes.
Compound Line Graph refers to the information can be divided into two or more types of data and this line graph is called a compound line graph which can be drawn to show the component.
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”?
Answer:
You can represent "the opposite of Shana's temperature is equal to Pearl's" as follows:
(-20 C) + (-x) = x
Where x represents Pearl's temperature.
Alternatively, you can also write it as:
20 C - x = x
Both of these equations are equivalent and mean the same thing: the opposite of Shana's temperature is equal to Pearl's temperature.
Step-by-step explanation:
20 degrees Celsius
The temperature in Pennsylvania is the opposite of the temperature in Canada, therefore -20⁰ Celsius in Canada would then be 20⁰ Celsius in Pennsylvania.
20 PTS-what Theorem can be used to prove these triangles are congruent
Answer: AAS
Step-by-step explanation:
AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.
The equations represent the heights, y, of the flowers, in inches, after x days. Which ordered pair (1,2.2)(1 ,2.5) or (0 ,1) is a solution to the system? Will the flowers ever be the same height? Explain. The 2 equations are y= 1.5x+1 and y= 1.2x+1
Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same height at x = 0. And (0,1) is the solution to the system of equation
How to Know Solution to a System of EquationTo know the solution of a system of equation, the two equation can be solved simultaneously.
Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1
Equate the two equations to get x
1.5x + 1 = 1.2x + 1
collect the like terms
1.5x - 1.2x = 1 - 1
0.3x = 0
x = 0
Substitute x in any of the equation.
y = 1.5(0) + 1
y = 1
Yes! The flower will be of the same height at x = 0.
Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.
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What is the difference of the first and third quartiles in 1. 96, 2. 09, 01. 79, 1. 61, 1. 75, 2. 11, and 1. 84
The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26
What is the difference of the first and third quartiles ?The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.
In this specific dataset, you would need to sort the values first in increasing order:
1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11
The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79
The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05
so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26
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Solve the word problem using the RDW strategy. Show all of your work in your journal. Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60. If she paid for her meal with a $10 bill, how much money did she have left? Select the answer as a fraction and in dollars and cents. *
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
RDW strategy:1. READ and reread the problem first
2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?
3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.
Given that
Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60
Here 5 1/2 = 11/2 = 5.5 dollars
Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1
Given that Cheryl gave $ 10
The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9
Here is $ 1.9 = 1 dollar and 90 cents
Therefore,
The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.
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Based on the number of claims filed, a homeowners insurance company periodically reevaluates its premiums. It will either increase or decrease its premiums for all customers. Which measure provides the best information for its reevaluation?
The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is A. claims per dollar value of property.
What influences a reevaluation of premiums ?Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:
Changes in risk: Insurance companies regularly assess the risk associated with insuring a home, and if a home's risk profile changes, the premium may be adjusted. For example, if a home is located in an area that is prone to natural disasters such as floods or wildfires, the premium may be higher than for a home located in a safer area.Changes in the home: Homeowners insurance companies may reevaluate premiums if the homeowner makes changes to the home that increase its value or make it safer. For example, if the homeowner installs a new roof or a security system, the premium may be lowered as a result.Changes in claim history: Insurance companies may also reevaluate premiums if the homeowner makes a lot of claims or if the value of claims is higher than expected. This could lead to premium increase as the company has to cover that additional cost.This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.
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Options for this question include:
A. claims per dollar value of property
B. claims per year per city
C. claims per year
D. claims per sub-division
make a the subject 11a = 7b
Answer:
a=7b/11
Step-by-step explanation:
11a=7b
11a/11=7b/11
a=7b/11
Answer: 11a=7b
-divide 11 from both sides
you'll end up with this result:
a=7b/11
Which statements are correct when translating this phrase into a variable expression?
The product of 8 and y decreased by 10
A 8y + 10
B Product means to multiply
C 8y-10
D product means to multiply
E y/x - 10
Therefore , the solution of the given problem of algebra comes out to be
Product means to multiply and decreased means to subtract so option C only seems valid
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
Product means to multiply and decreased means to subtract so option C only seems valid
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What is a 3 variable equation called?
Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.
what is linear equation ?A linear equation is one that has the form y=mx+b in algebra. 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.
given
equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.
(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.
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What is the velocity of the object from t=0 to t=3.0s?
0 is the velocity of the object from t=0 to t=3.0s
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .
The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.
The change in velocity from t = 0 to t = 3.0 s is
(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s
Hence, the velocity of the object from t=0 to t=3.0s is 0.
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Wht is the missing part of 1/7 of ... 1/35
The missing part is 1/5. The complete expression is 1/7 of 1/5 is 1/35.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
We have the expression:
1/7 of (...) = 1/35
To find the missing fraction:
Let n be the number.
So,
1/7(n) = 1/35
n = 7/35
n = 1/5
Therefore, 1/5 is the missing part.
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Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form
The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
so the given equation are also in the form of slope intercept form
y < 4/5x - 1/5
y > -4/5x + 1/5
y < 2x + 6
y > 2x + 6
are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
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A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?
Answer:
8%
Step-by-step explanation:
78.84 - 73 = 5.84
Tax = $5,84
5.84 / 73 = 0.08
0.08 * 100 = 8%
Answer:
8%
Step-by-step explanation:
1. Set up the equation represented
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
x is the sales tax percentage. hence, we have to solve for x.
[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]
[tex]$78.84 = \frac{73x}{100} + 73[/tex]
[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73
[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100
[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73
∴ There was an 8% sales tax on the ceramic vase.
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Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?
No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].
Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].
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In a rhombus MNLP, diagonals intersect each other at point O. If measure of angle MNL is 120 degrees, and the length of the side is 8 inches, find NP
Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.
A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].
Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,
[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]
The required answer is 8 inches.
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How do you find the area of a isosceles triangle without the height?
Since an isosceles triangle has two equal sides, it has two equal angles and two equal heights. Therefore, if you know the length of two sides, you can use the formula A = (1/2)bh to calculate the area, where b is the length of the base and h is the length of the two equal heights.
An isosceles triangle is a triangle with two equal sides and two equal angles. Since the two equal sides also have two equal heights, we can use the formula A = (1/2)bh to calculate the area of the triangle without the height. The formula A = (1/2)bh requires the length of the base (b) and the length of the equal heights (h). Therefore, if you know the length of two sides, you can use the formula to calculate the area of the isosceles triangle without the height.
1. Determine the length of two sides of the triangle.
2. Calculate the area of the triangle using the formula A = (1/2)bh, where b is the length of the base and h is the length of the two equal heights.
3. Plug the known values into the formula and solve for the area.
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Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
Equation: What is it?A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.
Here,
Any equation can be changed to intercept form by dividing by the constant on the right:
=> x/3 + y/3 =1
=> x/1.2 + y/(-1) = 1
These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
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If the scale of a map is 1:32000 then what will be the actual distance of 20 cm on the map?
Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.
Define Scale ratio.A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.
What are adjacent points?Two locations that are close to one another are said to be adjacent points.
A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.
To calculate the actual distance of 20 cm on the map,
We know,
Actual distance = (Map distance) x (Scale ratio)
Actual distance = (20 cm) x (1/32000)
Actual distance= 20/32000
Actual distance = 0.000625 km or 625 meters.
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There are 80 oranges and apples, and 5% of them are apples. William takes out some of the oranges, so apple make up 20% of the remaining pieces of fruit. How many oranges did he take out
Choose the equation that represents the line passing through the point (-3,-1) with a slope of 4.
y=4x-11
y = 4x + 11
y = 4x + 7
y=4x-7
On solving the provided question, we can say that - in the linear equation here the value will be
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
y = 4x + 11
x = 8
y = 32 + 11
y = 43
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Darnel uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he make with 1 pint of lemon juice?
Answer:
16 ounces = 1 pint, 8 times 2 = 16
Step-by-step explanation:
Answer in explanation:
1 pint is 16 ounces so he could make 2 batches of lemonade with 1 pint of lemon juice.
(8 x 2 = 16
your answer is 2
Hope this helps!
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x-5 that is the answer na
Type the correct answer in each box. Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27. The mean of her sales over the week is , and the median is . Reset Next
The mean of her sales over the week is 29 and the median is 27.
What is mean?The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.
Here,
To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as
mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7
⇒mean = 29.
To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So
23 - 25 - 25 - 27 - 32 - 35 - 36
⇒median = 27.
Summarizing, the mean of the sales is 29 and the median 27.
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Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. how much money did Priya raise? Help please its due tomorrow!!!
There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.
This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}