Simplify. Assume that all variables represent positive real numbers.(3
+ 9)(7
- 5)
A. 18 + 78
B. 108 + 48
C. 18 + 48
D. 66
Answer: C
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Fifty percent of students enrolled in an astronomy class have previously taken physics. Thirty percent of these students received an A for the astronomy class, whereas twenty percent of the other students received an A for astronomy.Find the probability that a student selected at random previously took a physics course, given that they received an A in the astronomy course.
A. 0.40 B. 0.15 C. 0.25 D. 0.6 E. none of these
Find the indicated term using the given information.a = 3, d = 3; a23
A. 72 B. 69 C. -63 D. -66
Let x represent the number. Write the English phrase as an algebraic expression. Then simplify the expression, if possible.Twice the number, minus 5 times the difference of the number and 2
A. 2x - 5(x - 2); -3x - 10 B. 2x - 5x - 2; 10x - 2 C. 2x - 5x - 2; -3x - 2 D. 2x - 5(x - 2); -3x + 10
A simple economy consists of two industries: agriculture and manufacturing. The production of 1 unit of agricultural products requires the consumption of 0.1 unit of agricultural products and 0.1 unit of manufactured goods. The production of 1 unit of manufactured products requires the consumption of 0.1 unit of agricultural products and 0.4 unit of manufactured goods. Find the gross output of goods needed to satisfy a consumer demand for $140 million worth of agricultural products and $140 million worth of manufactured products. Round answers to the nearest tenth, if necessary
a. $449.06 million b. $826 million c. $210 million d. $328.3 million e. $477.5 million