Answer:
16.6 in³
Step-by-step explanation:
Given the ratio of similarity = 2 : 3, then
the ratio of volumes = 2³ : 3³ = 8 : 27
let the volume of prism A be x then by proportion
=
( cross- multiply )
27x = 448 ( divide both sides by 27 )
x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )
Prism A has a volume of approx 16.6 in³
Answer: Option A

Step-by-step explanation:
If we have 5 cans of ketchup they cost $ 5.25. Then the unit price of cans is what each can costs individually.
The unit price should then be less than $ 5.25, and that is the price for 5 cans and we want to know the price for just one can of ketchup.
Then to calculate the price of each can divide the price of the 5 cans by 5.


Answer:
-5; -40; -640
Step-by-step explanation:
Answer:
6 years
Step-by-step explanation:
6 = ⅕m
m = 30
"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."
In x years, mother will be 30+x and the daughter will be 6+x.
30+x = 3(6+x) = 18+3x
12 = 2x
x = 6
In 6 years, the mother will be 36 and the daughter will be 12.
Answer:
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9