9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
1 answer:
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Answer:
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5
Leeza can put 33 or less gallons of water in aquarium.
Step-by-step explanation:
Given,
Capacity of aquarium = 55 gallons of water
Water already in aquarium = 22 gallons
Let,
x be the number of gallons that can be added in aquarium.
As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.
Subtracting 22 from both sides
Leeza can put 33 or less gallons of water in aquarium.
Keywords: inequality, subtraction
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