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marishachu [46]

3 years ago

12

Petra was given 12 yards of fabric to make costumes for the school play if each costume requires 1 1/2 yards how many costumes c

an she make

1 answer:

solmaris [256]3 years ago

7 0

Petra can make 8 costumes with 12 yards of fabric

<h3><u>Solution:</u></h3>

Given that Petra was given 12 yards of fabric to make costumes for the school play

Each costume requires $1\frac{1}{2}$ yards

<em><u>To find: number of costume Petra can make</u></em>

The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume

$\text {number of costume Petra can make }=\frac{\text {total fabric she has }}{\text {fabric needed for one costume }}$

Total fabric she has = 12 yards

Fabric needed for 1 costume = $1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2}$ yards

Therefore,

$\text {number of costume Petra can make }=\frac{12}{3 / 2}=\frac{12}{3} \times 2=8$

Thus petra can make 8 costumes with 12 yards of fabric

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Read 2 more answers

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Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

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

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

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Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

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Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

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For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

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