Tristan is building steps up to a deck that is 156
yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?
CLEAR CHECK
156 yards 8 steps ⋅3 feet 1 yard ⋅12 inches 1 foot ≈10 inches step
156 yards 8 steps ⋅3 feet 1 yard ⋅12 inches 1 foot =814 inches step
156 yards 8 steps ⋅3 feet 1 yard ⋅12 inches 1 foot ≈8 inches step
Tristan should make each step approximately 8 inches high.
Evelyn is waiting in line for concert tickets. She is 2.5 blocks from the ticket booth. 16 blocks equals 1 mile. Each person takes up about 2 feet in the line. Which calculation can be used to find about how many people are ahead of Evelyn in line?
CLEAR CHECK
2.5 blocks1
• 1 mile16 blocks
• 5,280 feet1 mile
• 1 person2 feet
2.5 blocks1
+ 1 mile16 blocks
+ 5,280 feet1 mile
+ 1 person2 feet
2.5 blocks1
• 16 blocks1 mile
• 5,280 feet1 mile
• 2 feet1 person
12.5 blocks
• 16 blocks1 mile
• 1 mile5,280 feet
• 2 feet1 person
The calculation that can be used to find about how many people are ahead of Evelyn in line is:
(2.5 blocks) * (16 blocks/1 mile) * (5,280 feet/1 mile) * (1 person/2 feet)
Tristan should make each step approximately 8 inches in height.
To find out the height of each step, we need to divide the total height of the deck (156 yards) by the number of steps (8).
First, let's convert the total height from yards to inches. Since there are 3 feet in a yard and 12 inches in a foot, we can multiply the total height by 3 * 12 = 36 to convert it to inches.
156 yards * 36 inches/yard = 5616 inches
Next, we divide the total height in inches by the number of steps:
5616 inches / 8 steps = 702 inches/step
So, Tristan should make each step approximately 702 inches high.