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charle [14.2K]
3 years ago
6

Karen drives his car 96 miles in 1.5 hours. If he continues to drive at this rate, how far will he travel in 2.5 hours?

Mathematics
2 answers:
Tanya [424]3 years ago
4 0
96/1.5 would be your unit rate which is 64 then multiply your unit rate times 2 and you get  128 miles.
mart [117]3 years ago
4 0
If you do 96+96 you get 192 so then you divide that number by 3 which gives you 64 which is the rate per hour. then you do 64+64 or 64 by 2 which will give you 128 and then you add half of 64 which will give you 32 so the answer is 160
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Step-by-step explanation:

equation 1 : -3x + 4y = -18

equation 2: x = -2y -4

transformed equation 2: x + 2y = -4

-3x + 4y = -18

x + 2y = -4

By elimination means we have to make one variable equal to zero or we have to take one variable out of the whole equation.

Let's eliminate the variable x. To do so, let's multiple the second equation to +3. Therefore,

-3x + 4y = -18

(3)x + (3)(2y) = (3)(-4)

-3x + 4y = -18

3x + 6y = -12

Now that both equations have the same value of x but different signs, we can now eliminate x by adding the two equations.

-3x + 4y = -18

<u>3x + 6y = -12</u>

<u> </u> 0 + 10y = -30

Dividing both sides by 10, we have y = -3.

Now that we have the value of y, we can just substitute the value of y into either one of the equation OR we can do the process again but this time we need to eliminate y to find the value of x.

-3x + 4y = -18

x + 2y = -4

To eliminate y, we need to multiply the second equation by -2.

-3x + 4y = -18

(-2)x + (-2)2y = -4(-2)

-3x + 4y = -18

-2x - 4y = 8

Now that we have the same values but different signs of y, we can now add the two equations again.

-3x + 4y = -18

<u>-2x - 4y = 8</u>

-5x + 0 = -10

Dividing both sides by -5, we have x = 2.

CHECKING:

Let's take the second original equation,

x = -2y -4

Let's substitute the values we have found into the equation:

2 = -2(-3) - 4

2= 6 - 4

2 = 2

Both sides of the equation produced the same values. Therefore, the values are correct.

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