Answer:
4.756 miles
Step-by-step explanation:
It is given that,
The running trail in the local park is 3.416 miles long. If the park board were planning to extend the trail by 1.34 miles.
We need to find the new length of the running trial. It is equal to the sum of length of running trail and the extended length. So,
l = 3.416 +1.34
l = 4.756 miles
So, the new length of the running trail be 4.756 miles
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: x=2.5
Step-by-step explanation:
First we need to set up and equation
10= 60 - 20x
where x is the amount the cookies cost
subtract 60 from both sides
-50=- 20x
now divide each side by 20 so hat we can isolate the x
-50/-20= x
x= 2.5
now to check just multiply it by 20 then subtract from 60.
2.5 x 10= 50
60-50=10
Answer:169pi
Step-by-step explanation:
Circumference(c)=26pi
Circumference(c)=2 x pi x radius(r)
26pi=2pi x r
Divide both sides by 2pi
26pi/2pi=(2pi x r)/2pi
13=r
Radius(r)=13
Area of circle=pi x r^2
area of circle=pi x 13^2
Area of circle=169pi
