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prohojiy [21]
3 years ago
12

A man is four times as old as his son.After 20 years,he will be twice as old as his son.Their present ages are _______ and _____

__​
Mathematics
2 answers:
aliina [53]3 years ago
8 0

Answer:

17&13 father will 17 and son will be 13

pantera1 [17]3 years ago
6 0

Answer:

10 and 40

Step-by-step explanation:

let the son's age be x then the father's age is 4x

After 20 years

son is x + 20 and father is 4x + 20

The father is now twice as old as his son , that is

4x + 20 = 2(x + 20) ← distribute parenthesis

4x + 20 = 2x + 40 ( subtract 2x from both sides )

2x + 20 = 40 ( subtract 20 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10 and 4x = 4 × 10 = 40

Thir present ages are , son is 10 and father is 40

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6 0
3 years ago
What is the solution of the system of equations <br> y =2x - 3
kherson [118]

Answer:

-37/5= y

x=11/5

Step-by-step explanation:

4x-3y=31

-3y=-4x+31 regroup it to match the other

-2 y=(2x-3)(-2) multiply by -2 to get -4x

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7 0
3 years ago
ariane borrows $400 on a 4-year loan. she is charged 5% simple interest per year . How much interest is she charged for 4 years?
vodomira [7]

Answer:

  1. Interests charged for 4 years: $80
  2. Total amount to pay back:$480

Step-by-step explanation:

  • To know the future value of an specific amount that is borrowed from a  bank we use the following equation: FV= PV\imes{(1+n\times{i})}, where FV is future value, PV present value, n the amount of periods and i the interest rate.
  • In this particular case, the present value of the loan is $400, n=4 (4 years), i=5%. Then the future value equals: FV= 400\times(1+4\times0.05). Then FV= $480, which is the total amount of money she would have to return in 4 years.
  • The interest paid can be calculated as the total amount paid ($480) minus the inicial loan ($400), which means that total interests paid= FV- PV= $80.
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3 years ago
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3 years ago
The following data give the hourly wage rates (in dollars) of eight employees of a company 23 23 23 23 23 23 23 23 on Calculate
cupoosta [38]

Answer:

0 because they are the same

Step-by-step explanation:

The average of this the hourly wage is

μ = (23 + 23 + 23 + 23 + 23 + 23 + 23 + 23)/8 = 23

The standard deviation would then be

\sigma = \sqrt{\frac{\Sum (x - \mu)^2}{n}} = \sqrt{\frac{(23 - 23)^2 + (23 - 23)^2 + ... + (23-23)^2}{8}} = \sqrt{\frac{0}{8}} = 0

The value is indeed 0 because all the hourly wages are the same (23) and there's no deviation from the average

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3 years ago
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