Answer:
The factory made 3 batches of granola bars.
Step-by-step explanation:
Given that:
1/6 barrel of raisins is used in each batch of granola bars.
1/6 barrel = 1 batch
1/2 barrel = x batches
As the relationship is proportional,
1/6 : 1 :: 1/2 : x
Product of mean = Product of extreme
Multiplying both sides by 6
Hence,
The factory made 3 batches of granola bars.
The volume is x times x times x which is x^3 :)
Answer:
A (the first one)
Step-by-step explanation:
A demonstrates the associative property of multiplication.
Answer:
Adele's current age is 12
Step-by-step explanation:
Let a = Adele's current age
Let t = Timothy's current age
Adele is 5 years older than Timothy:
a = t + 5 {equation 1}
In 3 years Timothy will be 2/3 of Adele's age:
(2/3)(a + 3) = t + 3 {equation 2}
Since we are looking for Adele's age, let's rearrange equation 1 to:
t = a - 5
Substitute that into equation 2 and solve for a.
(2/3)(a+3) = a - 5 + 3
(2/3)(a + 3) = a - 2
Multiply through by 3 to clear the fraction
2(a+3) = 3a - 6
2a + 6 = 3a - 6
Add 6 to both sides, subtract 2a from both sides
12 = a
Adele is 12 years old
This means Timothy is 7 years old.
Check equation 2 to verify:
(2/3)(a + 3) = t + 3
(2/3)(12+3) = 7 + 3
(2/3)(15) = 10
10 = 10
