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Answer:
60 gallons of 70% antifreeze
Step-by-step explanation:
Let n be the amount of 70% antifreeze. And the second brand was 45% pure anti freeze Then:
According to the question
0.7 n+.45(150-n)=0.55(150)
0.7 n+67.5-0.45 n=82.5
0.25×n=15
n=15/.25 = 60
You need 60 gallons of 70% antifreeze, and 90 gallons of 45% antifreeze for this mixture
Answer: The area is approximately 314 ft^2
Step-by-step explanation:
Well if the diameter is 20 feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula
A= where A is the area and pi times the radius squared.
We will represent pi by 3.14
A= 3.14* 10^2
A= 3.14 * 100
A = 314
420 is divisible by 2,3,4,5,&6..
Answer:
(a-1) *(a^2 +a-1) (a+2)
Step-by-step explanation:
a^4+2a^3-a-2
Lets factor by grouping
a^4-a + 2a^3-2
Factor out an a from the first group and a 2 from the second group
a(a^3 -1) +2(a^3-1)
Factor out (a^3-1)
(a^3-1)(a+2)
We need to recognize that a^3-1 is the difference of cubes
(x^3-y^3) = (x-y) (x^2+xy+y^2)
Let x=a and y=1
(a-1) *(a^2 +a-1) (a+2)