Rita’s total bill at a restaurant was $25.00, including tax. If she left a tip of 20% of the total bill, what was the amount of the tip?
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Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature , in kelvins, of the oxygen gas when its pressure is atmospheres.
- The line slants sharply up from left to right.
- The line begins at the approximate point (1.6 comma 190).
- The line passes through the following approximate points:
- (3 comma 350)
- (6 comma 700)
- (8 comma 933)
What is the estimated temperature, in kelvins, of the oxygen gas when its pressure is atmospheres?
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
In the given equation, k is a constant. If the equation has infinitely many solutions, what is the value of k ?
The town has a total of 6,000 voters. Based on the table, what is the best estimate of the number of voters who plan to vote for Candidate A?
What number is 20% greater than 60 ?
The figure shows the lengths, in centimeters (cm), of the edges of a right rectangular prism. The volume V of a right rectangular prism is , where
is the length of the prism, w is the width of the prism, and h is the height of the prism. What is the volume, in cubic centimeters, of the prism?
How many liters of a 25% saline solution must be added to 3 liters of a 10% saline solution to obtain a 15% saline solution?
In the solution to the system of equations above, what is the value of x ?
The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?
A science teacher is preparing the 5 stations of a science laboratory. Each station will have either Experiment A materials or Experiment B materials, but not both. Experiment A requires 6 teaspoons of salt, and Experiment B requires 4 teaspoons of salt. If x is the number of stations that will be set up for Experiment A and the remaining stations will be set up for Experiment B, which of the following expressions represents the total number of teaspoons of salt required?
If , what is the value of
?
When the equations above are graphed in the xy-plane, what are the coordinates (x, y) of the points of intersection of the two graphs?
Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?
Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?
The table above shows the number of people who work in the Human Resources and Accounting departments of a company and the highest level of education they have completed. A person from one of these departments is to be chosen at random. If the person chosen works in the Human Resources department, what is the probability that the highest level of education the person completed is a master’s degree?
For the exponential function f, the table above shows several values of x and their corresponding values of , where a is a constant greater than 1. If k is a constant and
, what is the value of k ?
A discount airline sells a certain number of tickets, x, for a flight for $90 each. It sells the number of remaining tickets, y, for $250 each. For a particular flight, the airline sold 120 tickets and collected a total of $27,600 from the sale of those tickets. Which system of equations represents this relationship between x and y ?
A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of , and the height of the can is 10 cm. If
of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
The scatterplot shows the relationship between two variables, and .
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- The data points have the following approximate coordinates:
- (0 comma 10)
- (1.2 comma 9)
- (2.3 comma 8)
- (3.1 comma 5)
- (4.8 comma 5)
- (5.2 comma 3)
- (6.5 comma 3)
- (7.2 comma 3)
- (9.6 comma 2)
- (8.8 comma 1)
Which of the following equations is the most appropriate linear model for the data shown?
- The line slants gradually up from left to right.
- The line passes through the following points:
- (0 comma 8)
- (5 comma 9)
- (10 comma 10)
What is the y-intercept of the line graphed?
Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?
A movie theater charges $11 for each full-price ticket and $8.25 for each reduced-price ticket. For one movie showing, the theater sold a total of 214 full-price and reduced-price tickets for $2,145. Which of the following systems of equations could be used to determine the number of full-price tickets, f, and the number of reduced-price tickets, r, sold?
Which of the following is equivalent to the given expression?
The function f is defined by , where m and b are constants. If
and
, what is the value of m ?