Numerical Reasoning
Which of the following statements are true about opposites and additive inverses?
A. -13.5 and 13.5 are opposites
B. The value of -7 3/5 is greater than its opposite 7 3/5
A. -13.5 and 13.5 are opposites.
Candace purchased 6 gallons of gas for 13.56. What is the constant of proportionality that relates the cost in dollars, y to the number of gallons, x ?
2.26
Arushi has gift box that is the shape of a cube to wrap presents. If each side length is 8, how much space is in the box? Round your answer to the nearest hundredth.
512
A jar contains 27 marbles. There are 4 blue marbles and the rest are red. If a marble is chosen at random, what is the likelihood it will be red.
Likely
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in miles that Patricia traveled during this time?
382.5
Which expression results in the greatest value?
B. The opposite of (-3 1/2 + 1.25)
A. The sum of -8.1 and its additive inverse.
B. The opposite of (3 1/2 + 1.25)
Jett had a coupon for 40% off. He paid 210 for the computer. What was the original price.
350
Consider a circle with a circumference of 8 centimeters. Which equations shows hows the relationship between the circumference and the diameter of this circle is equivalent to π or 3.14.
8/d
A single 6 sided dice is rolled. Which best describes the probability of rolling a number 4 or less.
likely
Charlotte walked 1/2 of a mile in 1/4 of an hour. Complete the unit rate of miles per hour.
2 miles per hour.
A weather station recorded a total temperature drop of 15 F over the last 3 hours. If the temperature dropped by the same amount each hour, what was the hourly change in temperature?
-5 F
What is an expression that is equivalent to 5(3x + 9)?
15x + 45
Elise wants to build a wooden box to store her art supplies. She has decided that the length of the box will be, 12 in, the width will be 10 in, and the height will be 8 in.
What is the minimum amount of wood Elise will need to build her box?
592 in
Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the experimental probability of drawing a red card.
A. 1/2
B. 2/3
C. 4/5
A turtle crawls 1/4 of a mile in 5/6 of an hour. At this constant speed, how far can the turtle crawl in one full hour.
3/10 of a mile per hour
Nicole and Esme each purchased three packs of gum for their bus trip to a game. Each pack of gum cost 2.39. Nicole paid for all of the gum and Esme will pay her back later.
What equation will correctly represent the amount that Nicole paid for all the gum.
2(3 x 2.39) = 14.34
Andy received 160 for is birthday this year. This was 30 less than one half the amount he received last year. Which equation, when solved for x, gives the amount Andy received for his birthday last year.
X/2 - 30 = 160
A can of peanuts in the shape of a cylinder has a diameter of 10 centimeters and height of 14 centimeters. Which measurement is closest to the total surface area of the can in square centimeters.
596.90 cm.
From a standard deck of 52 cards, what is the probability of picking 6 at random from the deck ?
A. 1/4
B .1/13
C. 1/26
1/13
A recipe for a fruit punch uses a ratio of 1/4 cup of lime juice for every 2 cups of strawberry puree.
If a chef uses 1 gallon of strawberry puree, how many fluid ounces of lime juice will they need.
16 fluid ounces.
Noah Cary <noah.cary@ware.k12.ga.us>
2:56 PM (0 minutes ago)
to me
A marine research drone is exploring a deep-sea trench. Its mission involves several elevation changes relative to sea level (0 meters).
Phase 1: The drone starts at sea level and descends to a depth of -45 1/2
Phase 2: After collecting samples, it rises by an amount that is the additive inverse of its current depth.
Phase 3: Suddenly, a strong current pushes the drone down 12.75 meters
Phase 4: To finish the mission, the drone maneuvers to an elevation that is exactly the opposite of its Phase 3 depth.
What is the drone's final elevation
12.75 is the final elevation.
Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by marking 160 bees. Later, Randy collects 240 bees and observes that 30 of them are marked. What is the BEST estimate for the bee population?
1280
There are 2 cylinders. Cylinder A has a radius of 4 and a height of 5.5 and cylinder B has a radius of 6.5 and a height of 3. Which cylinder has the smallest lateral surface area in square inches?
1) Cylinder A
2) Cylinder B
3) Cylinders A and B have the same lateral surface area
4) Cylinders A and B undefined
Cylinder B
Frankie was listening to music on his cell phone. He set the app to play random songs from a playlist played 6 country songs, 4 rap songs, 2 pop songs. He plans to listen to 240 songs.
What statement below is the best prediction for the type of songs Frankie's phone will play.
A. Close to 120 country songs but probably not exactly 120 country song.
B. Exactly 60 rap songs.
C. Exactly 120 country songs.
A.
A professional printing press can print 450 pages every 6 minutes. However, for every 15 minutes of continuous printing, the machine must cool down for 3 minutes
How many hours will it take to print a job of 7,500 pages?
1 hour and 58 minutes.