Evaluate and answer in standard form: 4^2/3^2

A father is 32 years older than his son. In four years,

sergiy2304 [10]

Answer:

father: 36
son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

5(s+4) = (s+32)+4

5s +20 = s +36 . . . . . eliminate parentheses

4s = 16 . . . . . . . . . . . . subtract s+20

s = 4

The son is now 4 years old; the father, 36.

_____

Alternate solution

In 4 years, the ratio of ages is ...

father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

father: 36; son: 4.

5 0

3 years ago

How do you solve 3 1/4 - 1 5/6

rjkz [21]

Answer:

to solve $3\frac{1}{4} -1\frac{5}{6}$ you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is $\frac{13}{6}$ then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become $2\frac{1}{6}$ .

Step-by-step explanation:

1) Change the fractions to improper fractions.

$\frac{13}{4} -\frac{11}{6}$

2) Change the denominator to a common denominator.

$\frac{39}{12} -\frac{22}{12}$

3) Minus the Numerators.

$\frac{39}{12} -\frac{22}{12}=\frac{17}{12}$

4) Changing it to a mixed number

$=1\frac{5}{12}$

6 0

3 years ago

Read 2 more answers

4 2/9 as a decimal work shown

Xelga [282]

The Answer Is:4.222222

4 2/9 = 4 + 2/9

= 4/1 + 2/9

= (4/1 * 9/9) + 2/9

= 36/9 + 2/9

= 38/9

= 38 ÷ 9 = 4.222222

4 0

2 years ago

Cora is wrapping her sister's birthday present. She needs to cut a 47-centimeter piece of ribbon into 5 equal parts. How long wi

snow_lady [41]

Answer:

Step-by-step explanation:

If its fractions, you would do 5/47

8 0

3 years ago

Read 2 more answers

Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and

Ray Of Light [21]

Answer:

A. $g'(3)=-\frac{1}{2}$

Step-by-step explanation:

We have been given that f be a differentiable function such that $f(3)=15$ , $f(6)=3$ , $f'(3)= -8$ , and $f'(6)= -2$ . The function g is differentiable and $g(x)= f^{-1} (x)$ for all x.