The cost of a certain shirt is $20 before a 5% sales tax is added. What is the total cost, including sales tax, to purchase the shirt?
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- Clockwise from top left, the 3 lines are labeled t, m, and n.
- Line t intersects both line m and line n.
- At the intersection of line t and line m, 1 angle is labeled clockwise from top left as follows:
- Bottom left: 134°
- At the intersection of line t and line n, 1 angle is labeled clockwise from top left as follows:
- Bottom left: w°
- A note indicates the figure is not drawn to scale.
In the figure, line is parallel to line . What is the value of ?
In the given scatterplot, a line of best fit for the data is shown.
- The scatterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- A line of best fit is shown:
- The line of best fit slants down from left to right.
- 5 points are touching the line of best fit.
- 2 points are above the line of best fit.
- 3 points are below the line of best fit.
- The line of best fit passes through the following approximate coordinates:
- (1 comma 7)
- (4 comma 5)
- (10 comma 1)
Which of the following is closest to the slope of this line of best fit?
Valentina bought two containers of beads. In the first container 30% of the beads are red, and in the second container 70% of the beads are red. Together, the containers have at least 400 red beads. Which inequality shows this relationship, where x is the total number of beads in the first container and y is the total number of beads in the second container?
A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?
Which of the following is a solution to the equation above?
- The parabola opens upward.
- The vertex is at point (7 comma 0).
- The parabola passes through the following points:
- (6 comma 3)
- (7 comma 0)
- (8 comma 3)
The x-intercept of the graph shown is . What is the value of ?
- In quadrant 3:
- The curve rises sharply to touch the x axis at point (negative 5 comma 0).
- The curve falls gradually to a relative minimum at point (negative 2 comma negative 11).
- The curve rises gradually to cross both axes at the origin.
- In quadrant 1:
- The curve rises gradually to a relative maximum at point (2.5 comma 21).
- The curve falls sharply to cross the x axis at point (4 comma 0).
- In quadrant 4 the curve falls sharply.
Which of the following could be the equation of the graph shown in the xy-plane?
A shipping company charged a customer $25 to ship some small boxes and some large boxes. The equation above represents the relationship between a, the number of small boxes, and b, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?
The circle above has center O, the length of arc is
, and
. What is the length of arc
?
A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
- In quadrant 2 the curve falls sharply to cross the x axis at point (negative 1 comma 0).
- In quadrant 3 the curve falls sharply to cross the y axis at point (0 comma negative 5.5).
- In quadrant 4:
- The curve falls gradually to a relative minimum at point (1 comma negative 7).
- The curve rises sharply to cross the x axis at point (4 comma 0).
- In quadrant 1:
- The curve rises sharply to a relative maximum at point (5.5 comma 3).
- The curve falls sharply to cross the x axis at point (7 comma 0).
- In quadrant 4 the curve falls sharply.
The graph of is shown, where the function is defined by and , , , and are constants. For how many values of does ?
Triangle above is a right triangle, and
. What is the length of side
?
The table shown includes some values of x and their corresponding values of y. Which of the following graphs in the xy-plane could represent the relationship between x and y ?
A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $5. The premium ticket, which includes admission and food to give to the animals, costs $12. One Saturday, the petting zoo sold a total of 250 tickets and collected a total of $2,300 from ticket sales. Which of the following systems of equations can be used to find the number of standard tickets, s, and premium tickets, p, sold on that Saturday?
Which choice best describes data in the graph that support the team’s conclusion?
Which of the following is true about the values of and
for
?
In North America, the standard width of a parking space is at least 7.5 feet and no more than 9.0 feet. A restaurant owner recently resurfaced the restaurant’s parking lot and wants to determine the number of parking spaces, n, in the parking lot that could be placed perpendicular to a curb that is 135 feet long, based on the standard width of a parking space. Which of the following describes all the possible values of n ?
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)
The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?
- One angle is a right angle.
- The length of the side opposite the right angle is 19.
- The lengths of the other 2 sides are as follows:
- b
- 4
- A note indicates the figure is not drawn to scale.
Which equation shows the relationship between the side lengths of the given triangle?
The ratio of t to u is 1 to 2, and . What is the value of u ?
If x is the solution to the equation above, what is the value of ?
Which of the following is equivalent to ?
During the first month of sales, a company sold 1,300,000 units of a certain type of smartphone. During the same month, 15% of the units sold were returned. If sales and the return rate remain the same for each of the next 5 months, about how many units of this smartphone will be returned to the company during this 6-month period?