Solve the problem.Jim wants to plan a meal with 41 grams of carbohydrates and 630 calories. If green beans have 7 grams of carbohydrates and 30 calories per half cup serving and if french fried shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many servings of green beans and shrimp should he use?
A. 3 half cups of beans and 2 three-ounce helpings of shrimp
B. 7 half cups of beans and 9 three-ounce helpings of shrimp
C. 9 half cups of beans and 7 three-ounce helpings of shrimp
D. 2 half cups of beans and 3 three-ounce helpings of shrimp
Answer: D
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Solve the problem.Two ladders of length a lean against opposite walls of an alley with their feet touching. One ladder extends h feet up the wall and makes a 75° angle with the ground. The other ladder extends k feet up the opposite wall and makes a 45° angle with the ground. Find the width of the alley in terms of h. Assume that the ground is horizontal and perpendicular to both walls.
A. h
B. h
C. h
D. h
Determine if the statement is a rational equation. =
A. Yes B. No
Factor completely. If unfactorable, indicate that the polynomial is prime.49k3m - 126k2m2 + 81km3
A. km(7k - 9m)2 B. prime C. km(7k - 9m)(7k + 9m) D. km(7k + 9m)2
Use the vertical line test to determine if the graph is a function.
A. Yes B. No