The solution for x is equal to x = (4 · y) / (r + 6).
<h3>How to find an explicit solution of an algebraic equation</h3>
In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:
(r · x + 6 · x) / y = 4 Given
(r · x + 6 · x) = 4 · y Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
x · (r + 6) = 4 · y Distributive property
x = (4 · y) / (r + 6) Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result
The solution for x is equal to x = (4 · y) / (r + 6).
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Answer:
$2,820
Step-by-step explanation:
In this question, we need to find how much profit the company made.
First, find how much revenue they made using the expression: 5x² + 2x - 80
Since we know they sold 1,000 videogame systems, plug in 1000 into x.
5(1000)² + 2(1000) - 80
Solve:
5(1000)² + 2(1000) - 80
5000000 + 2000 - 80
Revenue: $5,001,920
Since revenue is not the number for profit, we need to find how much it cost to make the 1000 videogame systems. Use the expression: 5x² – x + 100
Plug in 1000 to x.
Solve:
5(1000)² – 1000 + 100
5000000 – 1000 + 100
Cost to make: $4,999,100
Now, to find the profit, we would subtract the cost to make from the revenue. This is represented with the function: P(x) = R(x) - C(x)
P(x) = Profit
R(x) = Revenue
C(x) = Cost
Solve:
5,001,920 - 4,999,100 = $2,820
This means that the company made $2,820 in profit
Answer:
$44
Step-by-step explanation:
Use formula
% out of 100/100% = part/whole
20%/100 = 12/16+x
Cross multiply
(12)(100) = (20)(16+x)
1200=320+20x
Solve for x
1200-320 = 20x
880 = 20x
880/20 = x
44 = x
Jim's lunch was $44.
