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torisob [31]
2 years ago
7

A bus travel 210 miles in three. Five hours assumed the distance travel is directly proportional to the time traveled right and

solve direct variation equation to find how far the bus will travel in six hours
Mathematics
1 answer:
yarga [219]2 years ago
7 0
God loves all of you, remember that oK. Thts really all u need in life <333 and 210m is
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Natasha_Volkova [10]

Answer:

108 kilometers per hour = 30 meters per second

So, 108 kilometers per hour = 108 × 0.27777777777778 = 30 meters per second.

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Step-by-step explanation:

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Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

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y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

m=100\ pages/hour

b=225\ pages

y=-100x+225 ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

0=-100x+225

100x=225

x=2.25\ hours ---> Xanthia's time to finish reading the book

<em>Molly</em>

m=50\ pages/hour

b=225\ pages

y=-50x+225 ----> the slope is negative because is a decreasing function

For y=0

0=-50x+225

50x=225

x=4.5\ hours --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

4.5\ h-2.25\ h=2.25\ h

Convert to minutes

Multiply by 60

2.25\ h=2.25(60)=135\ minutes

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My estimated answer for 1 is x=1.59 or x=-1.26 and my exact answer is (in word form) x= 1 plus or minus the square root of 73 over 6. my estimated answer for 2 is x=-0.34 or x=1.74 and my exact answer (in word form) is x= -7 plus or minus the square root of 109 over -10. I took a picture of my work and hopefully you can read it

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