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Varvara68 [4.7K]
3 years ago
12

The sum of a father's and his son's age is 60. Eight years ago, the father's age was 3 times that of his son. How old is each of

them?​
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

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If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Vlad1618 [11]
<h3>Answer:  29</h3>

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

3 0
3 years ago
Write an equation of the line that passes through (−2, −1) and is<br> perpendicular to 2y =3x−5.
marusya05 [52]

Answer:

y = 2/3x - 1

Step-by-step explanation:

Find the slope:

2y = 3x - 5

2/2y = 3/2x - 5/2

y = 3/2x - 5/2

Slope is 3/2

In order for a line to be perpendicular the slope in the equation should be flipped. 3/2 becomes 2/3.

Perpendicular equation:

y = 2/3x + b

b is going to be equal to the y intercept of the point they gave us, so -1.

Answer: y = 2/3x - 1

8 0
3 years ago
If 7x + 4 = -19 + 5x, then 2x – 14 equals<br>A-23<br>B 23<br>C-37<br>D-14​
drek231 [11]

Answer:

C

Step-by-step explanation:

Here we have the question,

7x+4 = -19 + 5x

Now we add 19 to both sides,

7x + 4 + 19 = -19 + 19 + 5x

7x + 23 = 5x

Now we subtract 7x from both sides,

23 = -2x

We divide -2 from both sides,

x = -23/2

Now we plug this in into 2x - 14,

2(-23/2) - 14 = -23-14 = -37

Our answer is C

7 0
3 years ago
N − 23 ≥ 19 solve the inequality
nirvana33 [79]

Answer:

N greater than or equal to 42

Step-by-step explanation:

You have to look at the equation and then add 23 to both of the sides. After you will get 42 and drop down everything.

7 0
3 years ago
In the figure, XYZ=MNL<br> Find m
Blizzard [7]

Answer:

m = 33°

Step-by-step explanation:

x = 33°

from picture ;

x = m = 33°

n = y = 124

4 0
3 years ago
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