Answer:
-14
Step-by-step explanation:
<u>ANSWER</u>
The volume of the sphere is
.
<u>EXPLANATION</u>
The volume of a sphere is calculated using the formula;
.
We were given in the question that the radius is
inches. Therefore we substitute
in to the formula for finding the volume to obtain;

.


Rounding to the nearest tenth means we should round to one decimal place. This will give us;
Answer:
The correct option is;
30 caramel popcorn bags and 80 cheddar popcorn bags
Step-by-step explanation:
From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90
Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;
2.5 × 80 + 1 × 30 = $230
When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;
2.5 × 40 + 1 × 90 = $190
Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.
Step-by-step explanation:
Angle A + Angle B must be 90° as they form a right triangle with a right angle.
Angle B + Angle C must be 90° as they are in a straight line with a right angle.
So Angle A = Angle C.
The answer is the third one of y = 6x.
As you substitute x = 1, you get y = 6.
You substitute x = 2, you get y = 12.