Solve the problem by using three variables.Michael's bank contains only nickels, dimes, and quarters. There are 59 coins in all, valued at $4.65. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?
A. 6
B. 10
C. 15
D. 43
Answer: B
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Calculate the direction of and the midpoint of line segment P1P2.P1(-3, -8, 4) and P2(-2, -7, 3)
A. i +
j -
k;
B. i +
j -
k;
C. i +
j -
k;
D. i +
j +
k;
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = -2 and x = 2. The cross sections perpendicular to the x-axis are circles whose diameters stretch from the curve to the curve
A. ?2
B. 81?
C. 81?2
D. ?2
Solve the equation. Give the exact solution or solutions.log2 x2 = log2 (2x + 15)
A. ? B. {-3} C. {5} D. {5, -3}
For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, or rational numbers.The lengths of randomly cut pieces of string (measured using a ruler)
A. Integers B. Natural numbers C. Rational numbers