MATHEMATICS HIGH SCHOOL

Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer

Answers

Answer 1

Answer:

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by 7

x= 63/7

x= 9 months

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Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing

Answers

Final answer:

The mathematics problem involves a scale factor. The real-world schoolyard measurement of 52 meters gets scaled down by the scale factor of 4, resulting in a width of 13 centimeters for the schoolyard in Sophia's scale drawing.

Explanation:

The aspect of this question is a scale factor which is a concept in mathematics, used in geometry and real-world utilizations such as maps and scale drawings. In this case, Sophia used a scale of 1 centimeter to 4 meters for her drawing.

To determine the width of the schoolyard in the drawing, we apply the scale. If 1 centimeter corresponds to 4 meters, we divide the real width of the schoolyard, 52 meters, by the scale factor of 4

This calculation (52 / 4) results in 13. Thus, the schoolyard would measure 13 centimeters wide in Sophia's scale drawing.

Learn more about Scale Drawing here:

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Answer:

13 cm

Step-by-step explanation:

The scale of the drawing was 1 centimeter : 4 meters.

x cm : 52 m Divide by 4

13 cm : 52 m

Helpp me please. click the photo to see the question

Answers

Answer:

.42n = p

Step-by-step explanation:

We can write ratios to solve

2.52 / 6 = p/n

.42 = p/n

Multiply each side by n

.42n = p

Answer:

A is the answer

Step-by-step explanation:

You have to divide $2.42 by 6.

$2.52/6=0.42$

The unit rate would be

$p=0.42n$

So for every orange it will cost $0.42

Hope this helps

Find the exponential function that satisfies the given conditions: Initial value = 31, increasing at a rate of 10% per year f(t) = 10 ⋅ 1.1t
f(t) = 31 ⋅ 1.1t
f(t) = 31 ⋅ 0.1t
f(t) = 31 ⋅ 10t

Answers

Option 2: $f(t) = 31.(1.1)^t$ is the correct answer.

Step-by-step explanation:

Let t be the independent variable time and f(t) be the function that will be used to represent the exponential growth

The general form of an exponential function is given by:

$y = a(1+r)^t$

Here

a is the initial value of the function while r is the growth rate

and t is the number of years

Given

Initial value = 31

Growth rate = 10% per year

We have to convert the growth rate in decimal

So,

$r = (10)/(100) = 0.1$

Putting the values in the general form

$f(t) = 31 . (1+0.1)^t\nf(t) = 31 . (1.1)^t$

Hence,

Option 2: $f(t) = 31.(1.1)^t$ is the correct answer.

Keywords: Functions, exponential functions

Learn more about functions at:

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Select the correct answer.A glass case is in the shape of a rectangular prism. The volume of the case is 4/125 cubic foot. How many cubic blocks with a side length of
*1/5 foot would be required to find the volume of the glass case?
A. 2
B. 3
C. 4
D. 5