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Annette [7]
3 years ago
12

carlos walks 4 miles every night for exercise it takes him exactly 64 minutes to finish his walk Assuming he walks at a constant

rate write an equation that represents how many miles y carlos can walk in x minutes
Mathematics
1 answer:
TEA [102]3 years ago
6 0
Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will reduce to 1 mile/ 16 min,  then the numbers of miles he walks in a given number of minutes would be

1/16 * number of minutes

The question states we represent miles with y and number of minutes with x, so...

y = 1/16x

So let's check it...

How many miles (y) in 64 minutes (x)

y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles 

Yep! It checks!
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In the last 6 years the population of Manchester, England, has grown at a rate of 0.8% per year to 530,300. If this rate continu
Rzqust [24]

Given parameters:

Current population  = 530,300 people

Growth rate  = 0.8% per year

Unknown

Population in 15 more years  = ?

To solve this problem, we  must compound the increase per year.

This implies that we treat the problem like that of a compound interest.

Since we know that population increases by 0.8%,

                          it is similar to 1 + \frac{0.8}{100}  = 1.008 increase

Now the population in 15years will be;

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4 years ago
What is the simplified answer of ∛27×250
Kaylis [27]

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Step-by-step explanation:

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3 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
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