Solve.The number of employees that work at a company has increased by 35% over the past year. This year there are 763 more employees with the company than last year. How many employees were there last year?

A. 2180 employees
B. 21.8 employees
C. 1417 employees
D. 26,705 employees


Answer: A

Mathematics

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Solve the problem.In one company, six out of every ten employees use all their sick time. What percent use all their sick time?

A. 40% B. 60% C. 6% D. 4%

Mathematics

Sketch a vector v that models the given situation and express v as . A force of 800 pounds applied to a projectile to launch it from a starting point, represented by (0, 0), at an angle of 57° relative to level ground, represented by the positive x-axis (Round to the nearest whole number.)  

A.


B.

C.

D.

Mathematics

Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (-3, 3), B = (-1, 7), C = (1, 6). Determine whether the triangle ABC is a right triangle. Explain your reasoning.

A. The side lengths of triangle ABC are d(A, B) = 3, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (3)2 + ()2 = 18 + 5 = 23 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 2, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = (2)2 = 24
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = 2.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 22 = 20 + 4 = 24 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 5, d(B, C) = .  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + ()2 = 20 + 5 = 25 
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.

Mathematics

Solve the inequality. > 

A. ? B. (-9, ?) C. (-?, -9) D. (-?, ?)

Mathematics