Answer:
x = 72
Step-by-step explanation:
Make the problem simpler by eliminating the fractional coefficients:
x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:
4x - 36 = x + x + 48 + x - 12
Summing up all the x terms, we get:
4x - 2x - x = 48 - 12 + 36
Then x = 72
So to start this off, we need to find the area of the playground. We can simply multiply 150*2 and 50*2, and we get 300 and 100. Add those together and we get 400m.
Now, we can identify the number of laps it takes. But first, we have to convert kilometers into meters. there are 1000 meters in 1 km, so we will use 1000 to find the answer
Now, we can do 1000/400 to find the answer, which is 2.5
Therefore, it will take Kerry 2.5 laps to skate around the entire park
Answer: 2.5 laps
Hope this helped!!! :D
Find the equations of the lines...
First find the slope...(y2-y1)/(x2-x1)=m
m=(6-1)/(8-5)=5/3 and it passes through (5,1) so
y=mx+b becomes:
y=5x/3+b and using (5,1)
1=5(5)/3+b
1=25/3+b
3/3-25/3=b
b=-22/3 so
y1=(5x-22)/3
.... now y2...
m=(8-3)/(-1--4)=5/3 (note it has the same slope as y1...
y=5x/3+b and using the point (-1,8)
8=5(-1)/3+b
8=-5/3+b
24/3+5/3=b
b=29/3, now note that the y-intercept is different...
y2=(5x+29)/3
Since these lines have the same slope but different y-intercepts, they are parallel to each other. (and will never intersect.)
1. You would divide the 33/3 first to get 11
2. Then you would add 1 to that answer to get 12
3. Then you would subtract 2^2 from that to get 8
Your answer would be 8.
They can ride their bike 12 miles because in 6 minutes they ride 0.8 miles so in 1.5 hours they ride 12 miles. 0.8 * 10 = 8 miles 1 hour so 0.8 * 5 = 4 miles 0.5 hours 8 miles + 4 miles =12 miles 1 hour + 0.5 hours = 1.5 hours
