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polet [3.4K]
3 years ago
9

At a rate of 36 miles per hour, it takes Henry 15 minutes to drive from the library to his house. Show how to find the distance

that Henry traveled. Include units in your calculation.
Mathematics
1 answer:
EastWind [94]3 years ago
4 0
This is applying the formula
distance=rate*time

We have a slight problem, though, because we are measuring rate in miles per hour, and we are measuring time in minutes. To make this problem solvable, we need to convert to either miles per minute or convert the time to hours. I'm going to convert the 15 minutes into hours:
15min*\frac{1 hour}{60 min}=\frac{1}{4}hour

Now that all of the units match, we have:
distance=36\frac{mi}{hr}*\frac{1}{4}hr

You can finish from there I'm sure.
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For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wit
IRISSAK [1]

Answer:

25 rounds

Step-by-step explanation:

Let

x -----> the number of rounds of golf

y ---> total charges to play

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<em>Membership</em>

y=35x+500 ----> equation A

The slope is  m=$35 per round

The y-intercept b=$500 (annual membership fee)

<em>Non-Membership</em>

y=55x ----> equation B

The slope is  m=$55 per round

The y-intercept b=$0

Equate equation A and equation B

55x=35x+500

solve for x

55x-35x=500

20x=500

x=25\ rounds

For x=25 rounds the cost to be the same with and without a membership

8 0
3 years ago
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What is the value of x in the equation 8x-2y=48, when y=4
Oksanka [162]
8x - 2y = 48,  y =4

8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x  = 56
x = 56/8 = 7

x = 7
8 0
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-5x+8=-7<br><br> What is x equal to?
vova2212 [387]

Answer:

x=3

Step-by-step explanation:

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Use the slope formula to find the slope of the line passing through the given points.
irina1246 [14]
The slope is undefined because it is a vertical line on the x axis at 0. Its a straight line going up
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A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if th
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1 revolution of a circle = circumference of that circle.

<span>1 revolution of a circle with the diameter of 28 inches = </span><span><span>πd=28π</span><span>πd=28π</span></span><span> inches. Hence, x revolutions per second = </span><span><span>28πx</span><span>28πx</span></span><span> inches per second = </span><span><span>60∗28πx</span><span>60∗28πx</span></span><span> inches </span>per minute.

<span>Given that </span><span><span>60∗28πx=35πn</span><span>60∗28πx=35πn</span></span><span> --> </span><span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span></span><span>.</span>
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