Answer:
7/20
Step-by-step explanation:
Since y varies directly with x, the ratio of y to x is proportional.
... y / 7 = (1/4)/(5)
... y / 7 = 1 / 20 . . . . simplify
... y = 7/20 . . . . . multiply by 7
Answer:
7
Step-by-step explanation:
![3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7](https://tex.z-dn.net/?f=3%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%2024%20%5C%5C%20%20%5C%5C%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%5Cfrac%7B24%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%208%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20%2B%209%29%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%20%7B2%7D%5E%7B3%7D%20%20%20%5C%5C%20%20%5C%5C%20%28x%20%2B%209%29%20%3D%20%20%7B2%7D%5E%7B3%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20x%20%2B%209%20%3D%20%20%7B2%7D%5E%7B4%7D%20%20%5C%5C%20%20%5C%5C%20x%20%2B%209%20%3D%2016%20%5C%5C%20%20%5C%5C%20x%20%3D%2016%20-%209%20%5C%5C%20%20%5C%5C%20x%20%3D%207)
Answer:
there both cercles
Step-by-step explanation:
Let "x" represent the age of Brian.
Andrew is elder than Brian by 2 years, we can symbolize his age as "x+2"
Frank is twice as old as Andrew, we can symbolize his age as "2(x+2)"
Sarah has half the age of Brian's, we can symbolize her age as "x/2"
Frank ans Sarah's ages differ by 40 years, we can symbolize this as:
![2(x+2)-\frac{x}{2}=40](https://tex.z-dn.net/?f=2%28x%2B2%29-%5Cfrac%7Bx%7D%7B2%7D%3D40)
Solve the term is parenthesis
![\begin{gathered} 2x+4-\frac{1}{2}x=40 \\ 2x-\frac{1}{2}x+4=40 \\ \frac{3}{2}x=40-4 \\ \frac{3}{2}x=36 \\ x=24 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%2B4-%5Cfrac%7B1%7D%7B2%7Dx%3D40%20%5C%5C%202x-%5Cfrac%7B1%7D%7B2%7Dx%2B4%3D40%20%5C%5C%20%5Cfrac%7B3%7D%7B2%7Dx%3D40-4%20%5C%5C%20%5Cfrac%7B3%7D%7B2%7Dx%3D36%20%5C%5C%20x%3D24%20%5Cend%7Bgathered%7D)
x=24 years
Andrew's age is
![x+2=24+2=26](https://tex.z-dn.net/?f=x%2B2%3D24%2B2%3D26)
Andrew is 26 years old
As there are multiple answers going with trial and error seems good in this case.
A
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
20.00 + 31.5 = 51.5
B
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00
20.00 + 35.00 = 55.00
C
5.00 + 5.00 + 5.00 = 15.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
15.00 + 31.5 =46.5
Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn't understand if $156.5 is equivalent to $156.50 that would mean A is correct.
Always recheck your answers and good luck,
Jon