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3 years ago

10

A motorcycle can travel 15 miles on 3/8 of a gallon of gasoline. Find the unit rate in miles per gallon

2 answers:

SCORPION-xisa [38]3 years ago

8 0

Someone already got the answer, I think but here's an explanation on how to get it ig?

Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.

Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car's average miles per gallon yield for that driving period.

yaroslaw [1]3 years ago

3 0

Answer:

40 mpg

Step-by-step explanation:

To find the unit rate which is 1/8 we just divide 15 by 3 which is 5 and to find the mpg of the full gallon now that we have the unit rate we just multiply the 1/8 or 5 miles by 8 which would give us 8/8 or 40 miles.

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

3 years ago

Sarah bought 3 fish. Every month the number of fish she has doubles. After m months, she will have F fish, where F = 3× 2m. If S

MrMuchimi

Sarah starts with 3 fish
in 1 month she will have 6 fish
after 2 months she will have 12
in 3 months she will have 24

4 0

3 years ago

I need a answer 4.71 x 0.2<br><br> ASAP

svlad2 [7]

Answer:

0.942

Step-by-step explanation:

Multiply the normal way as if there were no decimals, then move the decimal 3 times to the left.

6 0

3 years ago

Read 2 more answers

ASAP First to get it right brainliest

nlexa [21]

324

Because you multiply 9 by 36

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3 years ago

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Write the word sentence as an inequality.

Flura [38]

Answer:

y < -8

Step-by-step explanation:

If a number is no more than it means that number is less.

The symbol for less is <

The word sentence "A number y is no more than -8" as an inequality is:

y < -8

Therefore the variable (or unknown) y is less than -8.

5 0

3 years ago