Math

A business owner plans to purchase the same model of chair for each of the 81 employees. The total budget to spend on these chairs is $14,000, which includes a 7% sales tax. Which of the following is closest to the maximum possible price per chair, before sales tax, the business owner could pay based on this budget?

A. $148.15

B. $161.53

C. $172.84

D. $184.94

x - 29 = (x - a)(x - 29)

Which of the following are solutions to the given equation, where a is a constant and a>30?

I. a

II. a + 1

III. 29

A. I and II only

B. I and III only

C. II and III only

D. I, II, and III

One gallon of stain will cover 170 square feet of a surface. A yard has a total fence area of w square feet. Which equation represents the total amount of stain S, in gallons, needed to stain the fence in this yard twice?

A. S = w/170

B. S = 170w

C. S = 340w

D. S = w/85

5x + 7y = 1

ax + by = 1

In the given pair of equations, a and b are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

A. 10x + 7y = 1

ax - 2by = 1

B. 10x + 7y = 1

ax + 2by = 1

C. 10x + 7y = 1

2ax + by = 1

D. 5x - 7y = 1

ax + by = 1