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Shkiper50 [21]
2 years ago
5

Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate board

s for $5.25 per hour with a rental fee of $25. Rate of change
Mathematics
1 answer:
NNADVOKAT [17]2 years ago
8 0

Answer: \bold{13\dfrac{1}{3}\ \text{hours}}

<u>Step-by-step explanation:</u>

Parabola Skate Rental:   4.50x + 35

Arc Hawk Skate Rental:  5.25x + 25


If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          <em>subtracted 4.50x from both sides</em>

0.75x = 10           <em>subtracted 25 from both sides</em>          

     x=\dfrac{1000}{75}        <em>divided both sides by 0.75</em>

     x = 13\dfrac{1}{3}        <em>simplified the fraction</em>


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The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample
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The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.

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df = 23 - 1 = 22

95% confidence interval

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2 years ago
Solve the linear equation <br> 31x + 29y = 33<br> 29x + 31y = 27
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Answer:

x = 2

y = -1

Step-by-step explanation:

Make the coefficient of x the same

Multiply the first equation by 29

31x + 29y = 33 becomes

899x + 841y = 957

Multiply the second equation by 31

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Subtract the equations

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Substitute the value of y into both equations to find the value of x and check its right.

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31x + 29(-1) = 33

31x - 29 = 33

31x = 33 + 29

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x = 62/31 = 2

29x + 31y = 27

29x + 31(-1) = 27

29x - 31 = 27

29x = 27 + 31

29x = 58

x = 58/29 = 2

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