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Naddik [55]
3 years ago
5

Solve the system of equations by substitution.

Mathematics
2 answers:
swat323 years ago
6 0
The System of equation is ( 1 , 1 ) 
Aleonysh [2.5K]3 years ago
3 0

Solve the system of equations by substitution.

3/8x + 1/3y = 17/24

x + 7y = 8

x = -7y + 8 and substituting it to the first equation

3/8x + 1/3y = 17/24

3/8(-7y + 8 )+ 1/3y = 17/24

Solving for the value of y = 1

And substituting y =1 to the second equation

X= 1

(1, 1)

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If Herschel walker can sprint 40 meters in 4.35 seconds, how many miles per hour is he running? Round to the nearest tenth
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Answer:

B) 20.6 mi/hr

Step-by-step explanation:

To solve this, we need to first convert 40 meters to mile, then convert 4.35 seconds to hour, then solve by proportion.

converting 40 meters to mile;

1 mile = 1609.344 meter

x       = 40 meters

1609.344x = 40

x = 40/1609.344

x =0.02485 mile

Then converting seconds to hour

1 hour = 3600 seconds

 y      = 4.35 seconds

3600 y = 4.35

y=4.35/3600

y =0.00121  hour

Using proportion to solve the question

Let n be the number he runs miles per hour

0.02485 mile = 0.00121  hour

  n                   = 1    hour

cross-multiply

0.00121  n =   0.02485

Divide both-side by 0.00121

0.00121  n/0.00121  =   0.02485/0.00121

n ≈ 20.6 mile/hour

Therefore, he is running 20.6 mi/hr

5 0
4 years ago
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