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4 years ago

Mary purchased a concert ticket on a website. The original price of the ticket was $75. She used a

Mathematics

1 answer:

pshichka [43]4 years ago

8 0

Answer:

Answer:

Mary's ticket was less than the original price by 12 percent

Step-by-step explanation:

1. Let's calculate the 20% discount price Mary received:

75 - 0.2 * 75 = 75 - 15 = $ 60

The discounted price is $ 60

2. Let's calculate the 10% service fee to the discounted price:

60 + 0.1 * 60 = 60 + 6 = $ 66

The price including the service fee is $ 66

3. Finally, let's calculate the less percentage than the original price:

Let's use the Direct Rule of Three, this way:

Price Percentage

75 100

66 x

**************************

75x = 66 * 100

75x = 6,600

x = 6,600/75

x = 88

Less percentage = 100 - 88 = 12%

Mary ticket was less than the original price by 12 percent

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In a right triangle, the measure of one angles is 43. sketch a diagram to represent this situation. what is the measure of the o

Pepsi [2]

So a right triangle is 90° and we have a 45° angle every triangle=180° so 90+43=133
180-133=47° the other angle is 47°

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3 years ago

Linear functions can be used to find the price of a building based on its floor area below are two of these functions,

Alborosie

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part A) Find and compare the slopes

we have

Function 1

$y=40x+15,000$

This is a linear equation in slope intercept form

$y=mx+b$

where

y is the price of the building in thousands

x is the floor area in square foot

m is the slope

b is the y-intercept

we have

$m=\$40\ per\ ft^2$

Function 2

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the data in the table

(400,32,000) and (700,56,000)

<u><em>Remember that the price in the table is in thousands</em></u>

substitute

$m=\frac{56,000-32,000}{700-400}$

$m=\$80\ per\ ft^2$

The slope of the Function 2 is greater than the slope of the Function 1

The slope of the Function 2 is two times the slope of the Function 1

Part B) Find and compare the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Function 1

$y=40x+15,000$

For x=0

$y=40(0)+15,000=\$15,000$

Function 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=80\\point\ (400,32,000)$

substitute

$y-32,000=80(x-400)$

Convert to slope intercept form

isolate the variable y

$y-32,000=80x-32,000\\y=80x$

For x=0

$y=80(0)=0$

The y-intercept of the function 1 is $15,000 and the y-intercept of the function 2 is zero (the line passes through the origin)

Part C) Describe each function as proportional or non proportion

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Function 1

$y=40x+15,000$ -----> is a non proportional linear function (because the line has a y-intercept)

Function 2

$y=80x$ ----> is a proportional linear equation (the line passes through the origin)

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3 years ago

84 is what percent of 96

Westkost [7]

87.5%, eighty seven point 5 percent

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What is the elapsed time between 2:45 and 6:55?

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3 years ago

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Please explain how you got it

Kay [80]

answer:

m^8 n^6

explanation:

m^5 and m^-3 should be subtracted so 5 - (-3) = 8

and n^2 and n^-4 should subtracted as well so 2 - (-4) = 6

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3 years ago