Question

9.18.2025
show your work. no work = no credit.
(7.rp.3)
ice cream recipe requires cup of sugar for every gallon of
how many cups of sugar are needed per gallon of milk?
1
2
3
4
cups of sugar for every ¼ gallon of milk
(7.g.4)
what is the radius and diameter of the following circle?
7.5 cm

Explanation:

Step1: Solve sugar - milk ratio problem

Set up a proportion. Let $x$ be the cups of sugar per gallon of milk. Given $\frac{1}{2}$ cup of sugar for $\frac{1}{4}$ gallon of milk, the proportion is $\frac{\frac{1}{2}}{\frac{1}{4}}=\frac{x}{1}$. Cross - multiply: $\frac{1}{4}x=\frac{1}{2}\times1$.

Step2: Solve for $x$

Multiply both sides of the equation $\frac{1}{4}x = \frac{1}{2}$ by 4 to isolate $x$. So $x = 2$ cups of sugar per gallon of milk.

Step3: Find radius and diameter of circle

The radius $r$ of a circle is given as $r = 7.5$ cm. The formula for the diameter $d$ of a circle is $d = 2r$.

Step4: Calculate the diameter

Substitute $r = 7.5$ cm into the formula $d = 2r$. So $d=2\times7.5 = 15$ cm.

Answer:

1. 2 cups of sugar per gallon of milk
2. Radius: 7.5 cm
3. Diameter: 15 cm