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2 years ago

What is the solution to the equation |x − 4| = 17?

1 answer:

andrey2020 [161]2 years ago

8 0

$~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13$

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3 years ago

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4 years ago

Solve the conjunction and describe the solution set.

BaLLatris [955]

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3 years ago

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3 0

3 years ago

A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3

Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

$30 = 4.5n + 7.5$

Subtract 7.5 from both sides

$4.5n = 30 - 7.5$

$4.5n = 22.5$

Divide both sides by 4.5

$n = \frac{22.5}{4.5}$

$n = 5$

Hence;

<em>With $30, Peter can afford 5 hours</em>

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3 years ago