Algebra
Lois and Clark own a company that sells wagons. The amount, in dollars, they pay each of their sales employees is given by the expression 12h+30w, where h is the number of hours worked and w is the number of wagons sold. What is the amount, in dollars, paid to an employee who works 6 hours and sells 3 wagons?
$162
46, 82, 66, 98, 105, 53
What is the median value of the data set shown?
74
If 3a=5√ (32), what is the value of a?
2/5 of 0.4
The figure shows a line intersecting two parallel lines. What is the value of x?
105°
The y-intercept of the graph of y=-7x+140 is located at (0, c). What is the value of c?
The value of c is 140.
87, 89 92, 96, 99
What is the range of the list of numbers?
12
(7x2-5)-(3x2+5x)
Which of the following is equivalent to the given expression?
A) 4x2-5x-5
B) 4x2-10
C) 4x2+5x-5
D) 10x2+5x-5
A) 4x2-5x-5
In the right triangle shown, the length of AC=5 and the length of AB =7. What is the length of BC?
2√ 6
A commercial airliner takes off from a runway with an elevation of 150 feet above sea level. The airliner's altitude above sea level increases at a linear rate of 3,000 feet each minute, m, after its takeoff time until it reaches its cruising altitude of 39,000 feet. Which of the following functions best models the altitude, a, of the airliner before it reaches its cruising altitude?
A) a(m)=150+39000/3000m
B) a(m)= 39150-3000m
C) a(m)=150+3000m
D) a(m)= 3000+150m
C)a(m)=150+3000m
A geneticist conducts a study to investigate the prevalence of a certain genetic marker in a particular population of United States (US) adults. During the study, the geneticist observes the genetic code of 1,000 randomly selected US adults in that population and finds that 350 of those adults have the genetic marker. According to the results of the study, what is the ratio of observed adults with the genetic marker to observed adults without the genetic marker?
7:13
x2-8x+15
Which of the following is equivalent to the given expression?
A)(x-3)(x-5)
B)(x-3)(x+5)
C)(x+3)(x-5)
D)(x+3)(x+5)
A)(x-3)(x-5)
What is the value of x in the figure?
32
What is the slope of the line represented by the equation 2x-5y=9?
2/5
Dyami earns a 4% commission for the first $30,000 of sales he makes per month. He earns a 5% commission for the portion of his sales over $30,000. If Dyami sells $38,000 worth of merchandise in a month, how much will he earn in commissions, in dollars?
$1,600
23√4*23√ 2
What is the value of the give expression?
8
Triangle PQR is shown. If QR=10, what is the value of PR?
10 cos x°
x - y= y - 4 + 2( 4.5 - 2x)
4 ( x + 2y ) = -p + 7y
In the system of equations, p is a constant. For which value of p is there exactly one solution (x,y) where x=-1
y=9
A 40 milliliter mL bottle of pre-diluted tea tree oil contains a 5% concentration of the active ingredient. If the seller charges $14.96 for the total amount of active ingredient in the bottle, what is the price per mL of the active ingredient?
The active ingredient costs $7.48 per mL.
If (20y+5)(4y-30)=80y2+by-150 for all values of y where b is a constant, then which of the following is the value of b?
b=-580
Saul's plane is 6 miles (mi) from the airport runway when he begins his descent from 14,000 feet (ft): see the figure. There are 5,280 feet in 1 mile. How far, in miles, does the plane actually travel in air during its descent?
The plane travels about 7 miles through the air during its descent.