Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
c=1/4
Decimal Form:
c=0.25
Answer:
9/27 or 9 to 27
Step-by-step explanation:
<h3>Answer:</h3>
2.4 potatoes/pound
<h3>Explanation:</h3>
The unit rate is the slope of the line. The slope of the line is ...
... (change in y-value)/(change in x-value)
... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)
... = (24 potatoes)/(10 pounds)
... = 2.4 potatoes/pound
_____
The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:
... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound
Answer:
b = 125
Step-by-step explanation:
Given a varies directly as ![\sqrt[3]{b}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bb%7D)
then the equation relating them is
a = k ← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k![\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D)
= 4k ( divide both sides by 4 )
= k
a = ← equation of variation
When a = 
, then
= ( multiply both sides by 4 to clear the fractions )
15 = 3 ( divide both sides by 3 )
5 = , then
b = 5³ = 125
