Write the equation of the line after a dilation with a scale factor of

Two rectangular sheets of glass have equal perimeters. One has a length of 36 inches and a width w. The other has a length of 26

tia_tia [17]

Answer:

w=5in

Step-by-step explanation:

4 0

3 years ago

-3(k+7)-5k+4=23 what is the value of K?

skad [1K]

-3(k+7)-5k+4=23
-3k-21-5k+4=23
Get rid of the numbers that aren't being multiplied by k:
-3k-5k=23+21-4
Add like things:
-8k=40
Divide by -8 on both sides to get k by itself and to make the equation even:
k=-5

3 0

3 years ago

Read 2 more answers

What conclusion can be determined from the dot plot below? A. The median of the data set is 3. B. The mean of the data set is 3.

RSB [31]

Given:

Consider the below figure attached with this question.

To find:

The conclusion that can be determined from the dot plot.

Solution:

The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.

The data set represented by the dot plot is:

2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6

Number of observations is 15, which is an odd number. So, the median of the data set is:

$Median=\dfrac{15+1}{2}\text{th term}$

$Median=\dfrac{16}{2}\text{th term}$

$Median=8\text{th term}$

$Median=4$

The median of the data set is 4. So, option A is incorrect.

Mean of the data set is:

$Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

$Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}$

$Mean=\dfrac{60}{15}$

$Mean=4$

The mean of the data set is 4. So, option B is incorrect.

The range of the data set is:

$Range = Maximum - Minimum$

$Range = 6-2$

$Range = 4$

The range of the data set is 4. So, option C is incorrect.

Therefore, the correct option is D.

3 0

3 years ago

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

mixas84 [53]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where is pounds and is total cost:

UPS:

FedEx:

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is . That would turn the equation into:

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

Now, you must divide both sides by .

That would give us:

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

5 0

3 years ago

20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.

madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

Arrange the equations with like terms in columns
Analyze the coefficients of x or y
Add the equations and solve for the remaining variable
Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

magnitude and different in sign

∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

∴ 7 x = -21

- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

∵ x + 2 y = -7 ⇒ (2)

∵ x = -3

∴ -3 + 2 y = -7

- Add 3 to both sides

∴ 2 y = -4

- Divide both sides by 2

∴ y = -2

The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

#LearnwithBrainly

7 0

4 years ago