Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
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Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
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Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
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To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44
Answer: it will take 576000 gallons to fill the lap pool.
Step-by-step explanation:
The formula for determining the volume of water in the rectangular pool is expressed as
Volume = length × width × height
The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is
Volume = 80 × 20 × 48 = 76800 cubic feet
1 cubic foot = 7.5 gallons
76800 cubic feet = 76800 × 7.5 = 576000 gallons
Answers: Choice A and Choice E
0.82B and B-0.18B
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Explanation:
B is the cost of the game (some unknown amount). Subtract off 0.18B to indicate a 18% reduction in the price. That's how we get choice E.
Simplifying choice E leads us to choice A. Notice that 1 - 0.18 = 0.82; which represents 100% - 18% = 82%. After the discount, Bo is paying 82% of the original price.
Side note: Choice B indicates an 18% increase. Choices C and D don't represent percentage decreases (rather they're decreasing by a fixed amount regardless of what B is).
The first picture shows you how to solve it and the second picture is showing you how to get your answer in simplest form.
