Translate the problem to a system of equations, then solve using matrices.John has a jarful of quarters and nickels. There are 102 coins in the jar. The value of the coins is $15.90. How many of each type of coin?
A. 97 quarters and 5 nickels
B. 59 quarters and 43 nickels
C. 48 quarters and 54 nickels
D. 54 quarters and 48 nickels
Answer: D
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Using the addition/subtraction method, find the value of x and y to satisfy the following equations: 2x + 3y = 6; 2x + 4y = 1
a. x = 4.5 y = 11 b. x = 10.5 y = 7 c. x = 10.5 y = -5 d. x = 4.5 y = -5 e. x = 9.5 y = 5
Simplify the expression. Assume that all variables are positive when they appear.
A. -3x21 B. -3x18 C. 3x7 D. -3x7
Solve the problem.On average, the number of electric guitars sold in Texas each year is 73,118, which is about seven times the average number of guitars sold each year in Wyoming. How many electric guitars, on average, are sold in Wyoming?
A. 10,445 guitars B. 511,826 guitars C. 7311.8 guitars D. 73,118 guitars
Factor the polynomial by removing any common monomial factor.32ax8 + 8ax5 - 24ax3
A. ax3(32x5 + 8x2 - 24) B. 8ax3(4x5 + x2 - 3) C. 8a(4x8 + x5 - 3x3) D. -ax3(-32x5 + 8x2 + 24)