Given:
3 kids
72 is the product of their ages.
There is a youngest child.

This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3

Prime factors are: 2 x 2 x 2 x 3 x 3 OR 2³ x 3²

3 ages.

eldest = 3³ = 9
middle = 2² = 4
youngest = 2¹ = 2

2 x 4 = 8
8 x 9 = 72

8 0

2 years ago

IF YOU SOLVE FIRST YOU GET BRAINLIEST

Nonamiya [84]

I solved 2/5(x − 2) = 4x. I don't know why you included those extra numbers.

<u>-2/9</u>

7 0

2 years ago

which is an algebraic equation that represent s the following word problem that shows how many bonus points , s, Samantha earned

Anna35 [415]

A = 15 a = athena, s = samantha, b = bonus points
s = b + a

s = b + 15

7 0

2 years ago

Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81

STALIN [3.7K]

$\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}$

$\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72$

7 0

1 year ago