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3 years ago

5.3.21Solve the equation P= r+t+s for r(Simplify your answer.)

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

r = P -t -s

Step-by-step explanation:

This is a one-step linear equation in r. Subtract the terms that don't contain r:

P = r + t + s . . . . . . . . . . given

The terms on the right that don't include r are (t+s). We want to subtract that to get r by itself.

P -(t+s) = r +(t+s) -(t+s) . . . subtract (t+s)

P -t -s = r . . . . . . . . . . . . . . simplify

r = P - t - s

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3 years ago

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an add

Delicious77 [7]

Questions (contd)

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(b) What is the cost when the two plans cost the same?

Answer:

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Step-by-step explanation:

Given

Plan 1:

$Initial\ Fee = \$57$

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Plan 2:

$Initial\ Fee = \$50$

$Additional = \$0.10$ per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

$y = 57 + 0.08 * x$

Plan 2:

$y = 50 + 0.10 * x$

To solve (a), we equate both plans together; i.e.

$y = y$

$57 + 0.08x = 50 + 0.10x$

Collect Like Terms

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Solve for x

$x = -2/-0.02$

$x = 100$

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Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

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$y = 65$

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2 years ago

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2 years ago

Read 2 more answers

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Ivanshal [37]

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2 years ago

5.3.21Solve the equation P= r+t+s for r(Simplify your answer.)​

5.3.21Solve the equation P= r+t+s for r(Simplify your answer.)