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3 years ago

At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price

Mathematics

1 answer:

lions [1.4K]3 years ago

6 0

$\frac{75}{100} = \frac{90.75}{x} \\ x = \frac{90.75 \times 100}{75} = \frac{9075}{75} = 121$
the answer is 121

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26 inches is how many yards

AlekseyPX

1 yard = 36 inches

The fraction (1 yard / 36 inches) has a numerator and denominator
that are equal. So the fraction is equal to ' 1 ', and we can multiply
(26 inches) by it without changing any value. That'll change the units
of the '26 inches' to 'yards', which is exactly what we need.

(26 inches) x (1 yard/36 inches) = (26/36) yard

That's 13/18 yard, or 0.7222... yard.

3 0

3 years ago

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

2 years ago

The number of stories in each of a sample of the world’s 28 tallest buildings follows. Construct a grouped frequency distributio

Masja [62]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

55 78 75 55 72 60 80

55 88 80 85 69 71 60

90 64 77 88 65 102 70

Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

74 - 83_____7_____________21

84 - 93_____5_____________26

94 - 103____2_____________28

5 0

3 years ago

The supermarket has 30 aisles. 10% of the aisles are empty, without any shoppers. How many empty aisles are there in the superm

lina2011 [118]

3

10/100=x/30
Cross multiply

100x=300
Divide each side by 100

X=3

3 0

2 years ago

Find the equivalent expression 3p + 12m + 8

____ [38]

Answer:

3(p+4m) + 8

Step-by-step explanation:

Factor out a 3 for the first two terms, 3(p+4m) and add 8 like usual

6 0

3 years ago

Read 2 more answers