Solve the problem.The sum of a student's three scores is 236. If the first is 12 points more than the second, and the sum of the first two is 2 more than twice the third, what was the first score?
A. 73
B. 78
C. 66
D. 85
Answer: D
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Perform the multiplication and simplify.
?
?
A.
B. ?
C. ?
D. ?
E. ?
Which of the following transformations maps an isosceles trapezoid onto itself?
a) A 180° rotation around the point of intersection of the diagonals (b) A reflection with respect to the midsegment of the trapezoid (c) A 90° rotation around a base vertex (d) A reflection with respect to the perpendicular bisector of a base (e) All of these are correct.
Solve the problem.In an analysis of traffic, a certain city estimates the traffic flow as illustrated in the figure below, where the arrows indicate the flow of traffic. If x1 represents the number of cars traveling from intersection A to intersection B, x2 represents the number of cars traveling from intersection B to intersection C, and so on, we can formulate equations based on the principle that the number of vehicles entering the intersection equals the number leaving it. Formulate an equation for the traffic at each of the four intersections.
A. x1 - x4 = -450 x1 - x2 = -650 x2 - x3 = -1400 x3 - x4 = 1100 B. x1 - x4 = 450 x1 - x2 = 650 x2 - x3 = 1400 x3 - x4 = 1100 C. x1 - x4 = 450 x1 - x2 = 650 x2 - x3 = 1400 x3 - x4 = -1100 D. x1 - x4 = -650 x1 - x2 = -450 x2 - x3 = 1400 x3 - x4 = -1100
Solve the inequality and graph the solution.2(x + 9) - 10x < 3(-2x + 5) - 3x
A. (-?, -3)
B. (3, ?)
C. (-?, 3)
D. (-3, ?)