Orly uses 2 cups of raisins for every 8 cups of trial mix she makes. how many cups of trail mix will she make if she uses 12 cups of raisins

The correct answer is 48 cups of trail mix.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Number of cups  of raisins = 2

Number of cups of trial mix = 8

Ratio of cups of raisins to cups of trail mix 2:8 or 1:4, simplifying.

2. How many cups of trail mix will she make if she uses 12 cups of raisins?

For answering this question, we use the ratio 1:4.

If we have 12 cups of raisins, the number of cups of trail mix are 12 * 4 = 48.

The correct answer is 48 cups of trail mix.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°