Which expressions have products that are positive? Select all that apply.
A(-9)(-1)(3)
B(1/2)(1/3)(-9/10)
C(0.4)(-0.3)(-2.1)
D(-10)(-23)(-45)(-12)
E(0.3)(-4.5)(-2.1)(-6.7)
F(-1.5)(1/3)(26)
What is A,C,D
The scale on a map shows that 5 centimeters = 2 kilometers.
Part A: What number of centimeters on the map represents an actual distance of 5 kilometers?
Part B: What is the actual number of kilometers that is represented by 2 centimeters on the map?
(Hint: Set up a table or proportion)
What is 12.5cm and 0.8km
Simplify 1/4(8 - 6x + 12)
What is 5 - 2/3x
A spinner is divided into 8 equal sections and numbered 1 thru 8.The arrow on this spinner is spun once. What is the probability that the arrow will land on a section labeled with a number greater than 3?
What is 5/8.
A rectangle has sides of 4ft and 8ft. Half of of the rectangle is shaded. How many square feet are shaded?
What is 16 inches squared
A train traveled 1/5 of the distance between two cities in 3/4 of an hour. At this rate, how many hours will it take the train to travel the entire distance between these two cities?
What is 15/4 or 3 and 3/4
A machine packs boxes at a constant rate of 2/3 of a box every 1/2 minute. What is the number of boxes per minute that the machine packs?
What is 4/3 or 1 1/3 boxes per minute
Rebecca buys some scarves that cost $5 each and 2 purses that cost $12 each. The cost of Rebecca’s total purchase is $39. Write an equation that can be used to find n, the number of scarves that Rebecca buys?
What is 5n+2*12=39 or 5n+24=39
What is the mean of 20, 23, 31, and 42?
What is 29
A circular mirror has a diameter of 12 inches. What is the area, in square inches, of the mirror? (A=pi*r^2)
What is 36*pi inches squared
Sal exercised by stretching and jogging 5 days last week. • He stretched for a total of 25 minutes during the week. • He jogged for an equal number of minutes each of the 5 days. • He exercised for a total of 240 minutes. Determine the number of minutes Sal jogged each day last week.
What is 43 minutes
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the selling price of the book?
What is $21.
Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?
What is $7
Reagan will use a random number generator 1,200 times. Each result will be a digit from 1 to 6. Which statement best predicts how many times the digit 5 will appear among the 1,200 results?
A. It will appear exactly 200 times.
B. It will appear close to 200 times but probably not exactly 200 times.
C. It will appear exactly 240 times.
D. It will appear close to 240 times but probably not exactly 240 times.
What is B
A circular frame that is 3 inches wide surrounds the 12 inch mirror. What is the combined area, in square inches, of the circular mirror and the frame? (A=pi*r^2)
What is 81*pi feet squared.
Consider the equation 5+x=n What must be true about any value of x if n is a negative number? Explain your answer. Include an example with numbers to support your explanation.
What is x must be less than -5.
Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. To represent the relationship between the number of cups of blue paint, b, and the number of cups of yellow paint, y, needed to make the same shade of green paint, Hayden wrote the equation . y =___ b What number belongs in the blank?
What is 4/3
Which expressions are equivalent to
-2.5(1 - 2n) - 1.5n?
Select all that apply.
A−2.5-3.5n
B−2.5+3.5n
C−2.5-6.5n
D−2.5-n(5-1.5)
E−2.5+n(5-1.5)
What is B,E
A customer buys a book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book. What is the total amount, in dollars, the customer pays for the discounted book?
What is $30.21
A triangle has a perimeter of 360 inches. The side A is 145 inches and side B is 175 inches. What is the length of side C?
What is 40 inches.
An airplane’s altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute? (don't forget units)
What is -54 feet/minute
A right triangle has legs measuring 4.5 meters and 1.5 meters. The lengths of the legs of a second triangle are proportional to the lengths of the legs of the first triangle. Which could be the lengths of the legs of the second triangle? Select each correct pair of lengths.
A 6 m and 2 m
B 8 m and 5 m
C 7 m and 3.5 m
D 10 m and 2.5 m
E 11.25 m and 3.75 m
What is A and E
• Equation 1: -0.5x - 4 = 1.5
• Equation 2: -0.5(x - 4) = 1.5
Select each statement that must be true.
A. x represents a negative value in both equations.
B. x represents a positive value in both equations.
C. x represents a positive value in one equation and a negative value in the other equation.
D. The value x represents in Equation 1 is less than the value x represents in Equation 2.
E. The value x represents in Equation 1 is greater than the value x represents in Equation 2.
What is C, D (-11 and 1)
Josephine owns a diner that is open every day for breakfast, lunch, and dinner. She offers a regular menu and a menu with daily specials. She wanted to estimate the percentage of her customers who order specials. She selected a random sample of 50 customers who had lunch at her diner during a three-month period. She determined that 28% of these customers ordered from the menu with specials. Which statement about Josephine’s sample is true?
A. The sample is the percentage of customers who order daily specials.
B. The sample might not be representative of the population because it only included lunch customers.
C. The sample shows that exactly 28% of Josephine’s customers ordered daily specials.
D. No generalizations can be made from this sample, because the sample size of 50 is too small.
What is B
Misha has a cube and a right-square pyramid that are made of clay. She placed both clay figures on a flat surface. Misha will make slices through each figure that are parallel and perpendicular to the flat surface. Which statements are true about the two-dimensional plane sections that could result from one of these slices? Select all that apply.
A. A plane section that is triangular could result from one of these slices through the cube.
B. A plane section that is square could result from one of these slices through the cube.
C. A plane section that is rectangular but not square could result from one of these slices through the cube.
D. A plane section that is triangular could result from one of these slices through the pyramid.
E. A plane section that is square could result from one of these slices through the pyramid.
F. A plane section that is rectangular but not square could result from one of these slices through the pyramid.
What is B, D, E