Answer:
associative property of multiplication
Step-by-step explanation:
You cant rlly explain, you just have to know your properties
Answer:
18
Step-by-step explanation:
Factors of 54
1, 2, 3, 6, 9, 18, 27
Factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Factors of 18
1, 2, 3, 6, 9, 18.
Greatest Common Factor
We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 72, 54 and 18 is 18.
Given:
Volume of the prism = 60 in³
Breadth = 2.5 in
Height = 4 in.
To find:
The length of the prism.
Solution:
We know that, volume of a prism is

where, l is length, b is breadth and h is height.
Putting V=60, b=2.5 and h=4, we get


Divide both sides by 10.


Therefore, the missing dimension of the prism is 6 in.
Answer:
<h2><em>
$960,000</em></h2>
Step-by-step explanation:
The gross profit rate of the company is expressed as
where C is the cost of goods sold and S is the net sales. If the net sales S = $1,200,000, and gross profit ratio is 0.20, the cost of goods sold will be expressed as shown;
Making C the subject of the formula from the expression given.

Substituting P = 0.20 and S = $1,200,000 into the resulting equation, we will have;

<em>Hence the cost of goods sold is $960,000</em>
<em></em>
Answer:
60
Step-by-step explanation:
area of triangle ACF is (1/2) (AC) (CF) = 180
area of triangle BCE = (1/2) (BC) (CE)
BC = AC/2
CE=(2/3) CF
so (1/2) (BC) (CE) = (1/2) (AC/2) (2/3)CF = (1/2)(2/3)(180) = 60 sq cm