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
Multiply first equaton by -1 and add to first
-2x+y=7
<u>4x-y=-4 +</u>
2x+0y=3
2x=3
divide 2
x=3/2
sub
2x-y=-7
2(3/2)-y=-7
3-y=-7
minus 3
-y=-10
negative 1 times both sides
y=10
(3/2,10)
(1.5,10)
B is ansre
Answer:
-1/6
Step-by-step explanation:
-1/2 + ( 3/4 x 4/9)
PEMDAS says parentheses first
Rearranging the fractions
-1/2 + ( 3/9 x 4/4)
-1/2 + (1/3*1)
-1/2 + 1/3
Getting a common denominator of 6
-1/2 *3/3 + 1/3 *2/2
-3/6+2/6
-1/6
Answer:
(11, 0)
Step-by-step explanation:
to find the y intercept, set y to 0.
60x + 55y = 660
60x + 55 * 0 = 660
60x = 660
60x/60 = 660/60
x = 11
y intercept is (11, 0)
Answer:
34
Step-by-step explanation:
16+10+6=34
