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vredina [299]
3 years ago
10

You are considering renting a car from two different rental companies. Proxy car rental company charges. $0.32 per mile plus an

$18 surcharge. YourPal rental company charges $0.36 per mile plus a $12 surcharge.
For what distance is the price the same for both companies?
Mathematics
1 answer:
mash [69]3 years ago
6 0
Let y = total charge for a car rental and x = miles driven
Proxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12

Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12  (subtract 0.32x from both sides of the equation)
6 = 0.04x            (subtract 12 from both sides of the equation)
150 = x               (divide both sides of the equation by 0.04)
ANSWER: 150 miles
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Sup yall<br><br> solve 4p-7r=pq+16 for p
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Answer:

p = (7r+16) / (4-q)

Step-by-step explanation:

4p - 7r = pq + 16

Add 7r to both sides.

4p = pq + 16 + 7r

Subtract pq from both sides.

4p - pq = 7r + 16

Factor out p from the left side.

p(4 - q) = 7r + 16

Divide both sides by (4 - q).

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The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.

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An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles
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10 gallons

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Oksana_A [137]

Answer:

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

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M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.96*\frac{4}{\sqrt{n}}

\sqrt{n} = 4*1.96

(\sqrt{n})^{2} = (4*1.96)^{2}

n = 61.5

The minimum sample size that should be taken is 62.

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