Solve the problem.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a  barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?

A. 98 lb
B. 91 lb
C. 112 lb
D. 105 lb


Answer: D

Mathematics

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Solve the problem.On a map of the Thunderbird Country Club golf course, 2.5 inches equals 45 yards. How long is the 15th hole if the map shows 13 inches?

A. 8.7 yd B. 234 yd C. 1462.5 yd D. 585 yd

Mathematics

Provide an appropriate response.Assume that f(x) and g(x) are two functions with the following properties: g(x) and f(x) are everywhere continuous, differentiable, and positive; f(x) is everywhere increasing and g(x) is everywhere decreasing. Which of the following functions are everywhere decreasing? Prove your assertions.i). h(x) = f(x) + g(x)ii). j(x) = f(x) ? g(x)iii). k(x) = iv). p(x) = g(x)v). r(x) = f(g(x)) = (f ? g)(x)

What will be an ideal response?

Mathematics

Provide an appropriate response.The volume of water in the lake is seven billion, eight hundred twenty-one million, ninety-four thousand, six hundred thirteen gallons. Write this whole number in standard form.

A. 782,194,613 B. 7,000,821,094,613 C. 7,821,094,613 D. 7,821,940,613

Mathematics

Solve the problem.The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by  where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.

A. $595 B. $341 C. $426 D. $172

Mathematics