Sally is staying at a hotel that charges $88.50 per night plus tax. A 6% tax is applied to the room rate, and an additional onetime untaxed fee of $7.00 is charged by the hotel. Write an expression for Sally’s total charge, in dollars, for staying x nights.
x² + y² = 167 y = −3x Solve for x and y.
The function h is defined by h(x) = 6x³ + 9x² + 3cx + 24, where c is a constant. If (-4, 0) is one of the x-intercepts of h, what is the value of c?
Find the value of x: 4x + x + x + x + x − 9 − 3 = 8 + x + x + x
The width of a rectangular floor is w feet. The length of the floor is 8 feet longer than its width. Write expressions for the area and perimeter of the floor in terms of w.
y > 4x − 2 6x > 15 Find the y-coordinates of all the points that satisfy this system of inequalities.
234 people went on a camping trip, taking 68 tents with them. Some of the tents held 2 people, and the rest held 4 people. If all the tents were filled to capacity and every person slept in a tent, how many of the tents were 4-person tents?
z(x) = 5x − 2 h(x) = 2 − 3z(x) What is the value of h(1)?
−2x + 3y = −10.5 3x + y = 5 Find the values of x and y.
In a random sample of 350 cars of a certain model, 8 have a manufacturing defect. At this rate, how many of 5,000 cars of this model will have a defect?