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3 years ago

Shelly biked 21 miles in 4 hours. How long will it take Shelly to bike 63 miles?

2 answers:

5 0

In order to do this, you need to use the equation:
distance=rate x time

So if you want to find out how long it will take you plug 63 miles into the equation.

63 miles=Rate x Time

You want to find out how long so you need the rate.

You can find the rate from the first sentence.

21miles=Rate X 4 hours
Rate=21/4 miles per hour
Plug this into the original equation.

63=(21/4)(time)

Time=12 hours

Anna35 [415]3 years ago

3 0

You can set up a proportion. So we see that shelly biked 21 miles in 4 hours. $\frac{21}{4} * \frac{63}{x}$ . Now you can cross multiply and get 21x (21 * x) = 252 (63*4). Then use the division property of equality and divide both sides by 21 to get x = 12 hours. Therefore Shelly biked 63 miles in 12 hours. Hope this helps! :D. Feel free to ask more questions, or ask questions about my explanation.

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Larry Calanan has earnings of S518 in a week. He is single and claims 2 withholding allowances. His deductions include FICA, Med

qaws [65]

Answer:

$482

Step-by-step explanation:

Data provided:

Total earning per week = $518

Medicare, federal withholding, state disability insurance, state withholding, union dues = $15

charitable contributions = $21

Now,

The total deductions = $15 + $21 = $36

also,

Net pay = Total income - Total deductions

thus,

Net pay = $518 - $36

Net Pat = $482

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Garden hose emits 9 quarts of water in 6 seconds how long will it take the hose to emit 12 quarts?

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Answer:

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2 years ago

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two high school students are hired to rake leaves. They will work a couple hours each afternoon until the job is completed. They

Schach [20]

Answer:

x = 14 days

Step-by-step explanation:

To answer the question, find a function that represents the payment mode of plan A and an equation that represents the mode of payment of plan B.

For Plan B the payment is constant every afternoon, $ 11.5 (or 1150 cents) so the equation to represent this form of payment is as follows:

A = 1150x (with units in cents)

This equation represents the line of a line of slope 1150, which passes through point (0,0). Where x is the number of days {1, 2, 3 ....}

In form of payment B, the amount of payment is doubled each day. And the first payment is 2 cents. Therefore this model is represented by an exponential base 2 equation of the form:

$B = (2) ^ x$

Where x represents the number of days, which is always greater than 0 {1, 2, 3, 4 ...}

To know in which day the salary will be approximately the same we equate both equations and we clear x.

A = B

$1150x = (2) ^ x\\1150x- (2) ^ x = 0$

It is a somewhat difficult equation to solve, so I recommend iterating to get a value where the function approaches 0 (when this difference is zero it means that the A and B salaries are the same).

Suppose

x = 13 days

$1150(13) - (2) ^ {13} = 6758$ cents

It is not equal to 0.

Let's try with x = 15

$1150(15) - (2) ^ {15} = -15518$ cents

Then the value that makes the function zero is between x = 13 and x = 15

Let's try with x = 14

$1150(14) - (2) ^ {14} = -284$ cents = 2.84 $ difference. X = 14 is the whole number where functions A and B are closer together (the salary is approximately the same). Therefore the answer is