Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?
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- From left to right the values of the vertical bars in the Group 1 box plot are as follows:
- First vertical bar: 21
- Second vertical bar: 22
- Third vertical bar: 25
- Fourth vertical bar: 26
- Fifth vertical bar: 28
- From left to right the values of the vertical bars in the Group 2 box plot are as follows:
- First vertical bar: 22
- Second vertical bar: 23
- Third vertical bar: 24
- Fourth vertical bar: 25
- Fifth vertical bar: 28
The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
Which of the following is equivalent to the given expression?
Which choice most effectively uses data from the graph to illustrate the claim?
Which choice best describes data from the graph that support Martinez and colleagues’ conclusion?
An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the demand was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?
The quadratic function h is defined as shown. In the xy-plane, the graph of intersects the x-axis at the points
and
, where t is a constant. What is the value of t ?
Which choice most effectively uses data from the graph to complete the example?
Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for $86, and Sofia purchased 3 shirts and 5 pairs of pants for $166. Which of the following systems of linear equations represents the situation, if x represents the price, in dollars, of each shirt and y represents the price, in dollars, of each pair of pants?
- All values are approximate.
- The parabola opens downward.
- The vertex of the parabola is at (0.6 comma 5.5).
- The parabola passes through the following points:
- (0.0 comma 3.8)
- (0.6 comma 5.5)
- (1.0 comma 4.8)
- (1.7 comma 0.0)
The graph shows the height above ground, in meters, of a ball seconds after the ball was launched upward from a platform. Which statement is the best interpretation of the marked point in this context?
What is the length of one side of a square that has the same area as a circle with radius 2 ?
The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?
According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?
- For the first line in the system:
- The line is horizontal.
- The line passes through the following points:
- (negative 4 comma 3)
- (0 comma 3)
- (2 comma 3)
- For the second line in the system:
- The line slants sharply up from left to right.
- The line passes through the following points:
- (negative 1 comma negative 4.5)
- (0 comma negative 2)
- (2 comma 3)
The graph of a system of linear equations is shown. What is the solution to the system?
Of the following, which is the best model for the data in the scatterplot?
Which ordered pair is a solution to the system of equations above?
In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph above shows the temperature, in degrees Fahrenheit (°F), of the coffee immediately after being removed from the heat source and at 10-minute intervals thereafter. During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?
In the given triangle, and
has a measure of
. What is the value of x ?
- Moving from left to right:
- The curve passes from quadrant 3 to quadrant 4.
- In quadrant 3, the curve trends up sharply to point (0 comma negative 5).
- In quadrant 4, the curve trends up gradually.
- As x increases, the curve approaches the line y equals negative 4.
- The curve passes through the following points:
- (negative 1 comma negative 9)
- (0 comma negative 5)
- (1 comma negative 4.2)
What is the -intercept of the graph shown?
Which of the following is equivalent to the expression ?
Which of the following is equivalent to the expression above?
The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?
The table shows the number of different colors of marbles in a bag. If a marble is chosen at random from the bag, what is the probability that the marble will be blue?
In the figure above, and
intersect at point P,
, and
. What is the measure, in degrees, of
? (Disregard the degree symbol when gridding your answer.)