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:
Yes
Step-by-step explanation:
To check proportionality :
35 α 1000
35 = 1000k
k = constant of proportionality ;
Divide both sides by 1000 to obtain k
35 / 1000 = 1000k / 1000
0.035 = k
For the ratio Given :
Ratio of 7 parts of salt and 200 parts of water
7 : 200
7 / 200
= 0.035
Since,
k = 0.035 ; 7 / 200 = 0.035
Hence, a proportional relationship exists.
Question (18):
Answer: (A) All of the following
(I am using 
in place of conj(z)
Question (19):
Answer: (B) -7
modulus of -7 is sqrt(49)=7
the other choices are all < 7
Answer:
3+x<5x+2
Step-by-step explanation:
the sum of the number 3+xis less than so 3+x<5×x+2
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