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vfiekz [6]
3 years ago
6

A coin sorting machine can sort a certain number of coins in 15 min a second machine can sort the same number of coins in 30 min

how long would it take both machines working together to do the job?
plz give all the steps that will be marked as the Branilest!!!!!!!!!!!!!!!!!!!!!!!!
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

10 minutes

Step-by-step explanation:

Let's use the variable x for the amount of coins.

The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.

The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.

If we sum the speeds, we have that the speed will be:

speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10

The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.

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Solve 8/15 and m/45 of a proportion
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Read 2 more answers
3. Bob the Builder wants to earn an annual rate of 10% on his investments,
mamaluj [8]

Answer:

He should pay $2,790.7.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.

After t years, the total amount of money is:

T = E + P

In this question:

Rate of 10%, so I = 0.1.

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We have to find P for which T = 3000. So

T = E + P

3000 = E + P

E = 3000 - P

Then

E = P*I*t

3000 - P = P*0.1*0.75

1.075P = 3000

P = \frac{3000}{1.075}

P = 2790.7

He should pay $2,790.7.

8 0
3 years ago
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