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RUDIKE
23 hours ago
13

Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride

loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?
Mathematics
1 answer:
PIT_PIT [3.9K]23 hours ago
3 0

Answer:

36 passengers

Step-by-step explanation:

Maria manages to load 20 passengers in 20 minutes, which equates to 1 passenger every minute.

Sal, on the other hand, loads 20 passengers in 25 minutes, translating to 0.8 passengers per minute.

When they collaborate, their combined rate results in (1 + 0.8) passengers, which equals 1.8 passengers every minute.

After 20 minutes, they can accommodate

1.8 passengers/minute * 20 minutes = 36 passengers.

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Answer: To remove fractions prior to solving, each term in the equation must be multiplied by 4.

Step-by-step explanation:

Consider the given expression:

-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

4=2*2=2^2\\2=2

Select 2^2, as it possesses the greatest exponent. Thus:

LCD=2^2=4

Ultimately, to remove the fractions before solving, multiply both sides by 4:

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