Translate the problem situation to a system of equations. Do not solve.Anne has 28 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $2.05. How many nickels and how many dimes does she have?
A. x + y = 28; 5x + 5y = 205
B. x + y = 28; 5x + 10y = 205
C. x + y = 28; 5x + 10y = 2.05
D. x + y = 28; 0.05x + 0.1y = 205
Answer: B
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Identify the distribution as symmetric, left-skewed, or right-skewed.Exam scores for an exam in which most students did very well but a few students failed
A. Left-skewed B. Symmetric C. Right-skewed
Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i + 5j; w = 2i - j
A. v1 = i +
j, v2 =
i +
j
B. v1 = i +
j, v2 =
i +
j
C. v1 = i +
j, v2 = -
i +
j
D. v1 = i +
j, v2 =
i +
j
Solve the equation by completing the square.x2 = 7 - 8x
A. -4 ± 1
B. 4 +
C. -1 ±
D. -4 ±
Solve the system by the substitution method.x - 2y = 3x2 - xy = 20
A. {(-5, -1), (, 8)}
B. {(5, 1), (- , -8)}
C. {(5, 1), (-8, - )}
D. {(-5, -1), (8, )}