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goldenfox [79]
3 years ago
12

At the gym, Tika spends twice as much time doing aerobics than weight training. She stretches for one fifth of the time she spen

ds on weight training. Let w be the amount of time Tika spends on weight training. Which expression represents her total workout?
Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

Her total workout is 2w+w+\frac{w}{5}.

Step-by-step explanation:

Consider the provided information.

Let w be the amount of time Tika spends on weight training.

Tika spends twice as much time doing aerobics than weight training.

It means she spends 2w time doing aerobics.

She stretches for one-fifth of the time she spends on weight training.

It means she spends \frac{w}{5} time for stretches.

The total workout time is:

2w+w+\frac{w}{5}

Hence, her total workout is 2w+w+\frac{w}{5}.

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3 years ago
Ali hops on his 3 wheeler and heads off at 12 mph. Two hours later, Fatimah chases after him on a moped at 18 mph. How far will
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Answer: 72 miles.

Step-by-step explanation:

We know the relationship:

Distance = speed*time.

Then we can write the equation for distance as a function of time for Ali as:

A(t) = 12mph*t

where t is time in hours.

Fatimah's equation will be:

F(t) = 18mph*(t - 2h)

where the -2h appears because she starts two hours after Ali.

Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)

Then we need to solve:

12mph*t = 18mph*(t - 2h)

12mph*t = 18mph*t - 18mph*2h

12mph*t = 18mph*t - 36 mi

36 mi = (18mph - 12mph)*t

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So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:

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2 years ago
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netineya [11]

Answer:

Step-by-step explanation:

What I would do is convert everything to have a denominator of 10 so it could be easier to add.

6 would equal 60/10

7 would equal 70/10

2/5 would equal 4/10

now add all together

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Answer:

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