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garik1379 [7]
3 years ago
14

Bryan paid a sale price of $45 for a video game. What is the original price if the discount was 25% off?

Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

The original price is $60

<u>Explanation:</u>

Given:

Selling price, SP = $45

Discount rate = 25%

Original price,y = ?

We know:

Discount = Marked price - selling price

Discount = y - 45

Discount % = \frac{discount}{marked price} X 100\\

\frac{25}{100} = \frac{y -45}{y} \\\\y = 4(y - 45)\\\\y = 4y - 180\\\\180 = 3y\\\\y = 60

Therefore, the original price is $60

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The slope of the line below is -1/7.
KatRina [158]

Answer:

y = (-1/7)x + (24/7)

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.

y = mx + b                                    <----- Slope-intercept form

y = (-1/7)x + b                                <----- Plug -1/7 into "m"

3 = (-1/7)(3) + b                             <----- Plug in "x" and "y" values from point (3,3)

3 = -3/7 + b                                  <----- Multiply -1/7 and 3

24/7 = b                                      <----- Add 3/7 to both sides

Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.

y = (-1/7)x + (24/7)

3 0
2 years ago
What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10
Mumz [18]

Answer:

IQR = 22

Step-by-step explanation:

IQR Formula:

IQR = Q3 - Q1

In order you find Q3 and Q1, please follow these steps:

1. First, you need to order the list of numbers from least to greatest:

2, 6, 9, 10, 16, 28, 33

2. Then, you need to find the median, or the middle number.

2, 6, 9, 10, 16, 28, 33

3. In order to find IQR, you must find the first and third quartiles.

2, 6, 9, 10, 16, 28, 33

Q1 = 6

Q3 = 28

This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.

Now since you have Q1 and Q3, you follow the formula.

28 - 6 = 22

IQR = 22

6 0
3 years ago
Help please I’ll give you 45 points
maksim [4K]

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

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