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Anettt [7]
2 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]2 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]2 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

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Line L passes through the points (0 - 3) and (6,9).
Luden [163]

a)  find the slope of the line using the given points.

Slope:  9 - -3/6-0 then slope is 12/6 which is 2

Then using formula:  y = mx+b

-3 = 2(0) + b

b = -3

The equation is:  y = 2x -3

B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2

y = mx + b is used again

2 = -1/2(0) + b

b = 2

The equation is:  y = -1/2x +2

4 0
3 years ago
Find the degree of the polynomial: a^3+3a^2−5a
emmainna [20.7K]

Answer:

The degree of the polynomial is 3

Step-by-step explanation:

Given:

a^3+3a^2-5a

To Find:

The degree of the polynomial= ?

Solution:

The degree of the polynomial   is the value of the greatest exponent of any expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial

Here in the given polynomial

a^3+3a^2- 5a

The terms are

a^3

3a^2

5a

The term  a^3 has  the largest exponent of  3

Note:  The degree of the polynomial does not depend  on coefficients of the terms

3 0
3 years ago
Jordan needs one can of juice to make 24 servings of a punch. How many servings of punch can she make with 1/2 a can of juice?
kati45 [8]
Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.

x= # servings from 1/2 can


1/24= (1/2)/x
cross multiply

1 * x= 24 * 1/2

x= 24/2

x= 12 servings


ANSWER: She can make 12 servings from 1/2 can of juice.

Hope this helps! :)
3 0
3 years ago
George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks h
Anit [1.1K]

The inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

In the question, we are given that George bought socks for $300.

Therefore, George's total cost = $300.

We assume the number of pairs of socks George sells to be s.

The unit price per pair quoted by George = $6

Therefore, George's total sales = $6s.

We know that the profit over a transaction is given as the difference between sales and costs, that is,

The profit = The total sales - the total costs,

or, profit = 6s - 300.

In the question, we are required to make a profit of more than 210.

This can be shown by the inequality,

6s - 300 > 210.

Thus, the inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

Learn more about inequalities at

brainly.com/question/24372553

#SPJ4

5 0
1 year ago
What is the first proportion? Someone please help, I have no idea what this means.
Olenka [21]

Answer:1 is called the first term of the proportion, 2 is the second term, 5 is the third, and 10, the fourth. We say that 5 corresponds to 1, and 10 corresponds to 2.

Step-by-step explanation:

1 is called the first term of the proportion, 2 is the second term, 5 is the third, and 10, the fourth. We say that 5 corresponds to 1, and 10 corresponds to 2.

7 0
3 years ago
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