Answer:
The Greast Common Factor of 18 and 72 is 18
Step-by-step explanation:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCF of 18 and 72 is 18
<u>To find the GCF of two or more numbers</u>
we need two steps
Step 1: List the prime factors of each number.
Step 2: Multiply those factors all numbers have in common. If there are no common prime factors, the GCF is 1.
<u>To find the GCF of 18 and 72</u>
18 = 2 * 3* 3
72 = 2 * 2 * 2 * 3 * 3
Common prime factors 2, 3, 3
Therefore GCF = 2* 3 * 3 = 18
30 will be in each bag
5 chocolate covered raisins will be left
185 divided by 6=30
30*6=180
185-180=5
Let us say that:
K = age of Kristen
B = age of Ben
From the problem, we make the equations:
eqtn 1: K + B = 32
eqtn 2: (K – 4) = 2 (B – 4)
Simplifying eqtn 2:
K – 4 = 2 B – 8
K = 2 B – 4
Plugging in this to eqtn 2:
(2 B – 4) + B = 32
3 B – 4 = 32
3 B = 36
B = 12
From eqtn 2:
K = 2 B – 4 = 2 (12) – 4 = 20
So Kristen is 20 while Ben is 12.
46 and 277
Given
f(x) = - 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277