What is the LCM of 64 and 72?
Find the prime factorization of 64.
Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3.
LCM = 576.
What is the GCF of 64 and 72?
Find the prime factorization of 64. 64 = 2 × 2 × 2 × 2 × 2 × 2.
Find the prime factorization of 72. 72 = 2 × 2 × 2 × 3 × 3.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 2.
GCF = 8.
Answer:
p = A/(1 +rt)
Step-by-step explanation:
Combine terms using the distributive property, then divide by the coefficient of p.
A = p(1 +rt)
A/(1 +rt) = p
Answer:
0.6
Step-by-step explanation:
Slope is the change in y divided by change in x.
x is weeks
y is height
We know plant grows 0.6 inches every week. This means per 1 week [change in x], the plant grows 0.6 inches [change in y]
Slope = 0.6/1 = 0.6
0.6 is the slope of the function
Answer: 34 stuffed animals & 17 mystery boxes.
First off, split 51 into three parts, trying to find how much 1/3 is of 51. It equals 17.
The stuffed animals in the machine are “twice as much” of the mystery boxes, so you need to multiply 17 x 2 to find the amount of stuffed animals.
17 x 2 = 34
As for the mystery boxes, you need to multiply it by one.
17 x 1 = 17.
In summary, the answer is 34 stuffed animals and 17 mystery boxes.
We can divide that up into two rectangles, say the bottom one 8 feet wide and 2 feet high. That leaves 5.5 by 6-2=4 feet for the other.
Cost = price × area = 2.25(8×2 + 5.5×4) = $85.50
Answer: $85.50
