1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anettt [7]
3 years ago
9

Three years hence a father will four times as old as his son will be. Before two years he was seven times as old as his son was.

Find their present ages.
Mathematics
2 answers:
myrzilka [38]3 years ago
7 0

Answer: The father is 37 years and the son is 7 years

Step-by-step explanation:

Let x represent the present age of the father.

Let y represent the present age of the son.

Three years hence a father will four times as old as his son will be. This means that

x + 3 = 4(y + 3)

x + 3 = 4y + 12

x - 4y = 12 - 3

x - 4y = 9- - - - - - - - - - - - - - - -1

Before two years he was seven times as old as his son was. This means that

(x - 2) = 7(y - 2)

x - 2 = 7y - 14

x - 7y = - 14 + 2

x - 7y = - 12- - - - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

3y = 21

y = 21.3 = 7

Substituting y = 7 into equation 1, it becomes

x - 4 × 7 = 9

x - 28 = 9

x = 9 + 28

x = 37

andrey2020 [161]3 years ago
5 0

Answer:

Father 9 years

son 1 year

Step-by-step explanation:

knowing that the father is X and the son is Y we have the equation

X+3=4Y

X-2=7Y

You might be interested in
CAN SOMEONE PLEASE HELP ME WITH THIS FUNCTION PROBLEM
ycow [4]

Answer:

Choose f(x) = 11x + 1

Step-by-step explanation:

Note that we will simply plug the value of 2 into the equation for February:

f(2) = 11(2) + 1 = 23

And plug the value of 6 into the equation for June:

f(6) = 11(6) + 1 = 67

Note how the points on the graph seem to match up with these values.  If we evaluate following the same style for each:

f(3) = 11(3) + 1 = 34

f(4) = 11(4) + 1 = 45

f(5) = 11(5) + 1 = 56

Note, these values seems to be very close in approximation to the graph points for each month.

The other three functions return values that are just to far away from what are represented in the graph.

Cheers.

8 0
3 years ago
How can I find out how to divide 1/2
borishaifa [10]
Divide one half by what
IF your talking about this
100 divided by 1/2 then it would be 50 and all i did was put the multiply 100 by .5


6 0
3 years ago
Read 2 more answers
Which of the following are quadratic equations
Igoryamba

Answer:

<h3>(ii) (x+2)²=7</h3>

<h3>(iv) M²-1 = 0</h3>

<h2>HOPE U UNDERSTOOD</h2>

★THANKS★

ANY DOUBTS? COMMENT PLEASE

6 0
3 years ago
Outline the steps for taking cross sections of a rectangular prism.
fgiga [73]

Answer:

  • find a suitable cutting tool
  • cut the prism on the plane of interest

Step-by-step explanation:

A cross section is the intersection of a cut plane with the object of interest. In a classroom setting, we often try to do the cross sectioning mentally or with diagrams, rather than physically cutting anything. Sometimes, there is no substitute for actually performing the cut to see what the cross section looks like.

For certain samples that don't take kindly to cutting, we sometimes encase them in a block of material that helps them hold their shape during the process. Sometimes the "cutting" is performed by grinding away the portion of the material on one side of the cut plane.

7 0
3 years ago
Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00.Which number
trapecia [35]

Given:

Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00

Required:

Amount of change Kate receives back?

Explanation:

We will add each expense

6.99+3.98+7.95=18.92

Now, amount of change Kate receives back is 20.00 - 18.92 = 1.08

Answer:

Hence, amount of change Kate receives back is 1.08

8 0
1 year ago
Other questions:
  • The formula A=1w is used to calculate the area A of a rectangle surface using the length(l) and the width (w) of the surface whi
    10·1 answer
  • We assume that the outcomes of successive trials in a binomial experiment are
    14·1 answer
  • Meg makes paper flowers. She makes 15 flowers each hour.
    9·2 answers
  • I NEED HELP I’ve been stuck on this for a while now and I don’t get it I tried answering this question many times but I can’t ca
    5·1 answer
  • For number 20 plz help ne
    13·1 answer
  • The point (0,-4) is located [ANSWER]
    15·2 answers
  • Diane has 12 coins that total $1.60. If the coins are all nickels and
    13·1 answer
  • If Sam &amp; Jack have 3 apples and Sam gives two away BUT Jack buys two more apples, how many apples does Sam &amp; Jack have n
    9·1 answer
  • What is A if a is equal to 1
    7·2 answers
  • Answer the following questions.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!