Answer:
56 is: The sum of the first six triangular numbers (making it a tetrahedral number). The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. The sum of six consecutive primes (3 + 5 + 7 + 11 + 13 + 17)
Step-by-step explanation:
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13 bikes
You would do 65 divided by 5 because there are 5 times as many new bikes compared to used ones
Answer:
(1)750 cubic feet
(2)8 Times
Step-by-step explanation:
<u>Question 1</u>
<u>Dimensions of the Right Triangular Base</u>
- Base = 20 feet
- Height= 120 inches = 10 feet
Base Area of the Prism

- Height of the Prism = 5 feet
Volume of the Prism = Base Area X Height
= 150 X 5
=750 cubic feet
<u>Question 2</u>
<u>Jake's Box</u>
- Length: 12 inches
- Width: 4 inches
- Height: 8 inches
Volume = 12 X 4 X 8 =384 cubic inches
<u>Havana's box</u>
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
Therefore:
- Length: 12/2=6 inches
- Width: 4/2=2 inches
- Height: 8/2=4 inches
Volume = 6 X 2 X 4 =48 cubic inches
Now:
384/48=8
Therefore, the volume of Jake's box is 8 times larger than Havana's box.
4x ≤ 12
x ≤ 3 <em>divided both sides by 4</em>
Graph: ←--------------------3 <em>(fill in the dot at 3 since it is "equal to")</em>
Interval Notation: (-∞, 3]
Answer: x ≤ 3