Answer:For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,
x + y = 18
20x + 15y = 330
The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice.
Step-by-step explanation:
First, find the total area of pizza. The area of a rectangle is length times width.
Area = 21 x 36 = 756 sq. inches
Now, we must divide the total area with the largest square possible without any excess. So, we equate the area of the pizza to area of square:
A = s² = 756
s = 6 √21
Hence, the largest piece square possible has a side of 6 inches. Then, we divide the total area of the pizza by the area of each square piece to find the number of pieces;
756/6² = 21
Thus, there would be 21 pieces of 6-in square piece of pizza.
X^2-9=0 add 9 to both sides
x^2=9 take the square root of both sides
x=±3
Answer:
Step-by-step explanation:
Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.
a) The sum is 4 on each of the three rolls.
(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12
Prob for getting same sum 4 in 3 rolls = 
(since each trial is independent)
b) Prob sum =4 in exactly 2 rolls
=
=