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ivolga24 [154]
3 years ago
5

Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on

the costumes for at least 8 weeks.
Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

Complete question is;

Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.

Which inequality matches the problem?

A) x ≥ 8

B) x = 8

C) x ≤ 8

D) none of the above

Answer:

A: x ≥ 8

Step-by-step explanation:

Let the number of weeks be x.

She needs to make at least 32 costumes and plans to work at least 8 weeks. Since she makes 4 costumes per week, we can say that;

4x ≥ 32

I used greater than or equal to sign because she can't make less than 32 costumes.

Also, she can't use less than 8 weeks.

Thus; dividing both sides by 4, we have;

4x/4 ≥ 32/4

x ≥ 8

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Answer:

Radius = 2.31 cm

Step-by-step explanation:

Area of circle = 16.71 square centimeters

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Radius of circle = 2.31 centimeter

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3 years ago
suppose that you plan on taking a summer job selling magazines subscriptions . the magazine company will help you pay $0.75 for
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<u>Answer:</u>

Money earned by selling 175 magazine subscriptions will be 3176.25

<u>Solution: </u>

Given that you are planning to take a summer job selling magazine subscription.

For first subscription, magazine company will help you to pay $0.75

For each additional subscription sold, magazine company will pay you $0.20 more than what was paid for previous subscription.

So for second subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 1

And for third subscription, payments will be = 0.75 + 0.20 = 0.75 + 0.20 x 2

Generalizing for nth subscription we get

Payments for nth subscription = 0.75 + 0.20(n-1)

so here we can see that arithmetic sequence is formed, having first term

a_1 = 0.75 and common difference = d = 0.20  

We need to determine sum of above arithmetic sequence for n = 175

<u><em>Formula for sum of arithmetic sequence is as follows </em></u>

\mathrm{S}_{\mathrm{n}}=\frac{n}{2}[2 a+(n-1) d]

In our case n = 175, a = 0.75, d = 0.20

\begin{array}{l}{=>\mathrm{S}_{175}=\frac{175}{2}[(2 \times 0.75)+(175-1) 0.20]} \\\\ {=>\mathrm{S}_{175}=\frac{175}{2}[1.5+(174 \times 0.20)]} \\\\ {\Rightarrow \mathrm{S}_{175}=\frac{175}{2} \times 36.3=3176.25}\end{array}

Hence money earn by selling 175 magazine subscriptions will be 3176.25

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3 years ago
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Answer:

B =

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Answer:

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Step-by-step explanation:

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<h3>Answer:   4</h3>

==========================================================

Explanation:

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Check out the diagram below.

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