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To find the missing dimension you will use the formula for finding the volume of a prism and solve for the missing dimension. In this case 2ft is how deep the pool is and you will solve for the width of the pool.
V = Bh, where B is the area of the base. In this case, use the area of a trapezoid formula.
286 = 1/2h(8 +13)2
<u>286</u> = <u>21h</u>
21 21
h = 13.6
The width of the wading pool is approximately 13.6 feet.
Factor this by grouping. Group the first two terms together and then the second 2 terms together. The idea here is that, after grouping, what you can pull out in both groups is the same. Like this:
Now work on finding a common thing between the 2 groups:
See, what you have in common there now is the (x-9) that you can factor out:
And that is factored completely.
1. None of the answer choices are correct, because the length that were to go with those numbers don't fit. The answer is D.
2. One coffee cost $4 and a latte would cost $2.50, because the other prices for a cup of coffee would exceed the price of the total of two coffees plus one latte and three coffees plus two lattes. The answer is A: $4.00.
3. This one has to be A, because you're finding how many nickels and dimes there are together if there are 24 coins. A nickel is 5 cents each and a dime is 10 cents each. The total of them combined is $1.85. The answer is A.
