Hello,
half of 3/4 =1/2*3/4=3/8
3/8+1/12+/18=3/8+1/8+1/12=1/2+1/12=7/12
Answer D
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:
y=15x+250 (x is the number of guests)
Step-by-step explanation:
the 15 is the slope, so that is the number that has to be multiplied by. The 250 is an additional fee that doesn't change, so it's just added on.
9514 1404 393
Answer:
√3/11, π/24, 3/25, 9/100
Step-by-step explanation:
The 2-decimal value of each of the numbers is ...
9/100 = 0.09
π/24 = 0.13
3/25 = 0.12
√3/11 = 0.16
Then the order from greatest to least is 0.16, 0.13, 0.12, 0.09. In the original form, that is ...
√3/11, π/24, 3/25, 9/100 . . . . . matches choice B
Associative property of <span>multiplication</span>
