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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
Standard form is ax+by=c
mnus 7y both sides
6x-7y=0
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
180 + 8x = 160 + 6x
Step 2: Solve for <em>x</em>
- Subtract 6x on both sides: 180 + 2x = 160
- Subtract 180 on both sides: 2x = -20
- Divide both sides by 2: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
180 + 8(-10) = 160 + 6(-10)
180 - 80 = 160 - 60
100 = 100
Answer:
l think the answer is B
Step-by-step explanation:
The eighth patern should give the result 81