Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Answer:
5 cubes
Step-by-step explanation:
The volume of a square pyramid is given in terms of its side length (s) and height (h) as ...
V = (1/3)s^2·h
For the given measurements, the volume is ...
V = (1/3)(9 cm)^2 ·(10 cm) = 270 cm^3
___
The volume of each cube of wax is the product of its length, width, and height, so is ...
V = (4 cm)^3 = 64 cm^3
___
Then the number of wax cubes required to fill the pyramid is ...
(270 cm^3)/(64 cm^3/cube) = 4 7/32 cubes
Four cubes are not quite enough to make the candle.
Devin will need 5 cubes to make the candle.
Answer:
8.6 units
rounded would be just 9 ig?
