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Anton [14]
3 years ago
14

Three friends won $600 for winning a relay race. June ran 1/3 of the relay. Al ran 3/8 of the relay. Marcus ran 1/24 of the rela

y and frank ran 1/4 of the relay they decided to split the money the same way they split the relay distance . How much money will Jude receive?
Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:

  $200

Step-by-step explanation:

Jude didn't run, so received no winnings.

__

June ran 1/3 of the distance, so will get (1/3)($600) = $200.

yanalaym [24]3 years ago
5 0
$200 because 1/3 of 600 is 200
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Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f
Marrrta [24]

Answer:

\frac{48}{r+9}=\frac{12}{r}

Step-by-step explanation:

Let r represent Linda's walking rate.                      

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be t+9 miles per hour.

\text{Time}=\frac{\text{Distance}}{\text{Rate}}

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

\text{Time while riding}=\frac{48}{r+9}

\text{Time taken while walking}=\frac{12}{r}

Since both times are equal, so we will get:

\frac{48}{r+9}=\frac{12}{r}

Therefore, the equation \frac{48}{r+9}=\frac{12}{r} can be used to solve the rates for given problem.

Cross multiply:

48r=12r+108

48r-12r=12r-12r+108

36r=108

\frac{36r}{36}=\frac{108}{36}

r=3

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be t+9\Rightarrow 3+9=12 miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0
3 years ago
Yolanda's club has 35 members. its rules require that 60% of them must be present for any vote. at least how many members must b
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Ryan plays basketball. Last year he averaged 22.8 points per game during his team’s 20 game
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He would break the school record by 70 points.

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3 years ago
Michael drives 30 miles in 5 hours. How many miles can he drive in 8 hours?
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<u>Answer:</u>

  • In 8 hours, Michael can drive 48 miles.

<u>Step-by-step explanation:</u>

<u>Let's write our equation.</u>

  • 30 miles = 5 hours
  • => 30/5 miles = 1 hour
  • => 6 miles = 1 hour
  • => 6 x 8 miles = 1 x 8 hours
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Hence, <u>in 8 hours, Michael can drive 48 miles.</u>

Hoped this helped.

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