Solve the problem involving direct translation.The sum of four times a number and 3 is equal to the difference of twice the number and 6. Find the number.
A. 4x + 3 = 2x + 6; x =
B. 4(x + 3) = 2x - 6; x = - 9
C. 4x + 3 = 2x - 6; x = -
D. 4x + 3 = 6 - 2x; x =
Answer: C
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Use a proportion to solve the application.Jim can drive 216 miles in 6 hours. How many hours will it take him to drive 1080 miles?
A. 40 hours B. 1296 hours C. 60 hours D. 30 hours
Evaluate.(-4)3
A. -64 B. 12 C. 64 D. -12
Find the unit tangent vector of the given curve.r(t) = (10 + 10t7)i + (3 + 11t7)j + (9 + 2t7)k
A. T = 10i + 11j + 2k
B. T = i +
j +
k
C. T = i +
j +
k
D. T = i +
j +
k
Use Jefferson's method to find the apportionment.The table below gives the populations of four districts A, B, C, and D, among which a total of 60 seats are to be apportioned.How many seats does district A receive using Jefferson's method?
A. 26 B. 28 C. 27 D. 29