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2 years ago

HELP!!!

Mathematics

2 answers:

Jobisdone [24]2 years ago

8 0

Answer:

$16$ is the number of quarters and $14$ is the number of dimes

Step-by-step explanation:

we know that

$1\ dime=\$0.10$

$1\ quarter=\$0.25$

Let

x-----> the number of dimes

y------> the number of quarters

we know that

$0.10x+0.25y=5.40$ -----> equation A

$x+y=30$ ----Isolate the variable y

$y=30-x$ -----> equation B

Substitute equation B in equation A

$0.10x+0.25(30-x)=5.40$

$0.10x+7.5-0.25x=5.40$

$0.25x-0.10x=7.5-5.40$

$0.15x=2.1$

$x=14\ dimes$

Find the value of y

$y=30-x$

$y=30-14=16\ quarters$

therefore

$16$ is the number of quarters and $14$ is the number of dimes

Colt1911 [192]2 years ago

6 0

Answer:answer in image

Step-by-step explanation:

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3 years ago

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3 years ago

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mafiozo [28]

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Step-by-step explanation:

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2 years ago

7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.