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3 years ago

5

What step can be taken to get the x by itself on one side in the equation x - 13 = 102?

2 answers:

galben [10]3 years ago

7 0

To get x by itself, you would add 13 to both sides. x=115

gladu [14]3 years ago

5 0

To get x by itself you would have to add 13 to both of the sides. That would make x 115. So to end it all your answer would be x = 115

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The amount of gasoline at a gas station changes from 58,432.4 gallons to 56,475.2 gallons from 2 PM to 4 PM what rational number

gogolik [260]

Answer:

978.6

Step-by-step explanation:

change in gallons is 1957.2 over a period of 2 hours

change in gallons is 978.6 over a period of 1 hour

8 0

3 years ago

In a 10 mile race, Janet covered the first 2 miles at a constant rate. She then sped up and rode her bike the last 8 miles at a

xenn [34]

Answer:

$0.83\text{ miles per minute}$

Step-by-step explanation:

GIVEN: In a $10$ mile race, Janet covered the first $2$ miles at a constant rate. She then speed up and rode her bike the last $8$ miles at a rate that was $0.5$ miles per minute faster. Janet's overall time would have been $2$ minutes faster had she ridden her bike the whole race at the faster pace.

TO FIND: What was Janet's average speed (in miles per minute) for the whole race?

SOLUTION:

let the speed of Janet in first $2\text{ miles}$ $=x\text{ miles per minute}$

speed of Janet's bike in last $8\text{ miles}$ $=x\text{+0.5 miles per minute}$

total time taken by Janet,

$\text{Time}=\frac{\text{distance}}{\text{speed}}$

$\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}$

Time taken if Janet rides whole race at faster pace $=\frac{10}{x+0.5}\text{minute}$

As, Janet's overall time would have been $2\text{ minutes}$ faster had she ridden her bike the whole race at the faster pace.

$\frac{2}{x}+\frac{8}{x+0.5}=\frac{10}{x+0.5}+2$

$\frac{2}{x}-\frac{2}{x+0.5}=2$

$\frac{1}{x}-\frac{1}{x+0.5}=1$

$x^{2} +0.5x-1=0$

on solving we get

$x=0.5\text{ miles per minute}$

$\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}$

$\text{Time taken}=\frac{2}{0.5}+\frac{8}{1}\text{minute}$

$\text{Time taken}=\frac{2}{x}+\frac{8}{x+0.5}\text{minute}$

$\text{Time taken}=12\text{minute}$

Average speed $=\frac{\text{total distance}}{\text{time taken}}$

Average speed $=\frac{10}{12}=0.83\text{miles per minute}$

Therefore average speed of Janet was $0.83\text{ miles per minute}$

4 0

3 years ago

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Ksivusya [100]

Answer:

A

Step-by-step explanation:

Area of Triangle = BH/2

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22/2 = 11

11 sq units = A

6 0

3 years ago

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maks197457 [2]

Answer:

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2 years ago

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BlackZzzverrR [31]

Answer:

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3 years ago

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