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Alex73 [517]
3 years ago
7

Caroline drove 350 miles to her grandmother’s house. The trip took her 5 1/4 hours. What was her average speed in miles per hour

?
Mathematics
2 answers:
Shalnov [3]3 years ago
7 0
64 hours per hour average
350 miles ÷5.25 hours in which it took= 63.63 rounded is 64 mph average
jok3333 [9.3K]3 years ago
5 0
350/ 5 1/4
350/5.25
66.67
Caroline went 66.67 (or 67 if rounding up) miles per hour.
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Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

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Negative sign on both sides cancels each other

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y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

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Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5  

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

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