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muminat
4 years ago
13

Stacy and Neil painted 280 ft^2 of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 g

allons of paint? Enter your answer in the box.
Mathematics
2 answers:
sweet [91]4 years ago
6 0
The answer is 1050 ft^2
kolbaska11 [484]4 years ago
4 0

we know that

Stacy and Neil painted 280\ ft^2 of their living room wall with 4/5\ gallon of paint

so

by proportion

Find how many square feet can they paint with 3 gallons of paint

\frac{280}{(4/5)} \frac{\ ft^{2} }{gallons} =\frac{x}{3} \frac{\ ft^{2} }{gallons} \\ \\x* \frac{4}{5} =3*280\\ \\x=\frac{5}{4}*3*280\\ \\x=1,050\ ft^{2}

therefore

<u>the answer is</u>

1,050\ ft^{2}

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3 years ago
1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j
ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

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(0,16) and (2,17)

m=(17-16)/(2-0)=\frac{1}{2}

The equation of the line in slope intercept form is

y=mx+b

we have

m=\frac{1}{2}

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substitute

y=\frac{1}{2}x+16

convert to function notation

f(x)=y

f(x)=\frac{1}{2}x+16

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

m=(-2-0)/(5-5)=\frac{-2}{0}

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

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Find the slope

we have the points

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y-y1=m(x-x1)

we have

m=-\frac{1}{4}

point\ (3, 1)

substitute

y-1=-\frac{1}{4}(x-5)

Convert to standard form

Multiply by 4 both sides to remove the fraction

4y-4=-(x-5)

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Let

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In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

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3 years ago
Read 2 more answers
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