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andreyandreev [35.5K]
2 years ago
5

Ella finished a bike race in 37.6 minutes. Miranda finished the race minutes sooner than Ella finished it. How many minutes did

it take Miranda to finish the race?
Mathematics
1 answer:
Tomtit [17]2 years ago
8 0

Complete question :

Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race

Answer:

28.5

Step-by-step explanation:

Time taken by Ella = 37.6 minutes

Time taken by Miranda = 9 1/10 minutes sooner than Ella

Hence,

Miranda's finish time :

37. 6 minutes - 9 1/10 minutes

37.6 - 91/10 minutes

37. 6 minutes - 9.1 minutes

= 28.5 minutes

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Answer:

Let's solve your system of equations by elimination.

8x+9y=48;12x+5y=21

Steps:

Multiply the first equation by 5,and multiply the second equation by -9.

5(8x+9y=48)

−9(12x+5y=21)

Becomes:

40x+45y=240

−108x−45y=−189

Add these equations to eliminate y:

−68x=51

Then solve−68x=51for x:

−68x /−68 = 51 /−68  (Divide both sides by -68)

x=  −3 /4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+9y=48

Substitute

−3 /4

8x+9y=48:

8( −3 /4 )+9y=48

9y−6=48 (Simplify both sides of the equation)

9y−6+6=48+6 (Add 6 to both sides)

9y=54

9y /9  =  54 /9  (Divide both sides by 9)   y=6

<em><u>Answer:  x=  −3 /4  and y=6</u></em>

Hope This Helps!  Have A Nice Day!!

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