Solve the problem by using three variables.The perimeter of a triangle is 36 inches. Three times the length of the longest side minus the length of the shortest side is 46 inches. The sum of the length of the longest side and three times the sum of both the other side lengths is 74 inches. Find the side lengths.

A. 4 in., 14 in., 18 in.
B. 5 in., 15 in., 16 in.
C. 5 in., 14 in., 17 in.
D. No solution


Answer: C

Mathematics

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Find a rectangular equation for the plane curve defined by the parametric equations.x = 2t - 1, y = t2 + 2; -4 ? t ? 4

A. y = x2 + x + ; for x in -9 ? x ? 7
B. y = x2 + 1; for x in -6 ? x ? 4
C. y = x2 + 1; for x in -2 ? x ? 2
D. y = - x + 30; for x in -6 ? x ? 4

Mathematics

Solve the problem.Looking ahead to retirement, you sign up for automatic savings in a fixed-income 401K plan that pays 5% per year compounded annually. You plan to invest $3500 at the end of each year for the next 20 years. How much will your account have in it at the end of 20 years? Round to the nearest dollar.

A. $114,188 B. $117,029 C. $115,731 D. $117,501

Mathematics

Solve using the addition principle.-21 = f - 10

A. 31 B. -31 C. -11 D. 11

Mathematics

The table shows the number of votes received by each candidate in the last election.    Candidate  Votes  Mr. Olsen  2078  Ms. Li  3760  Mr. Barone  2780  Ms. Vaporis  3706Which candidate received the fewest votes?

A. Ms. Li B. Ms. Vaporis C. Mr. Barone D. Mr. Olsen

Mathematics