Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Answer:
Step-by-step explanation:
Theortical probability
A = 1/4
B = 1/3
C = 5/12
Experamental probability
A = 18/60 = 3/10
B = 20/60 = 1/3
C = 22/60 = 11/30
Answer:
33/4
Step-by-step explanation:
Let the first number be x, and the second number be y.
x - y = 4
x + y = -7
Solve for x in the first equation.
x - y = 4
x = 4 + y
Put x as (4 + y) in the second equation and solve for y.
4 + y + y = -7
4 + 2y = -7
2y = -7 - 4
2y = -11
y = -11/2
Put y as -11/2 in the first equation and solve for x.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = 4 - 11/2
x = -3/2
Their product is:
-11/2 × -3/2
33/4
Answer:
14a^2
Step-by-step explanation:
3a^2+4a^2+7a^2
Combine like terms
Factor out a^2
a^2(3+4+7)
a^2(14)
14a^2
