A gardener plans to cover a rectangular plot of land with pine bark mulch to a depth of 4 inches. The plot measures 8 feet by 12 feet, and the gardener will buy mulch packed in bags. If each bag contains 3.5 cubic feet of mulch and costs $6, what is the cost of the least number of bags that the gardener will need to cover the plot? (Note: 1 foot = 12 inches.)
Answer(s): E
The plot's volume of mulch needed isEach bag supplies 3.5 ft3, someaning 10 bags are required.10 bags × $6 = $60.
When compared to a regular-size box of a certain cereal, a family-size box of the same kind of cereal contains 10 more ounces of cereal and costs 50 cents more.Quantity AThe cost per ounce of the cereal in the family-size boxQuantity B5 cents
Answer(s): D
The family-size cost per ounce is( + 0.50) / ( + 10), where and are the weight and cost of the regular box.Because no information links and , this ratio can be greater than, equal to, or less than 5 cents per ounce.
The surface area of certain cube is 36.Quantity AThe volume of the cubeQuantity B15
Answer(s): B
Surface area of a cube = 6a2 = 36, so a2 = 6 and a = .Volume = a3 = ( )3 = 6 14.7, which is less than 15.
a and b are negative, and (a + b) (a b) < 0Quantity AaQuantity Bb
Answer(s): A
Since a and b are both negative, a + b is always negative.For (a + b)(a b) < 0, the second factor a b must be positive.Thus a b > 0, which implies a > b.
Evan, Irene, and Juanita collected glass bottles for recycling. Evan collected twice as many bottles as Irene, and Juanita collected mote bottles than the total number of bottles collected by Evan aud Irene.If Juanita collected 60 bottles, which of the following could be the number of bottles Evan collected? (Choose all that apply.)
Answer(s): A,B,C
Juanita collected 60 bottles, and she collected more than Evan and Irene combined.Since E=2I, the total they collected is E + I = E + =We need < 60, so E < 40.Among the choices, only 12, 22, and 32 are less than 40, so they satisfy the condition.
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