Answer:
11 shud be ur answerr think :0
Step-by-step explanation:
Answer:
postive/negative
Step-by-step explanation:
Answer:
= 177.66
Step-by-step explanation:
you add all the pounds gained by group A in the 3 weeks which is 59.22 and then you multiply by 3 to give you 177.66
The proportional relationship is verified because the velocity (miles per hour) is constant.
So, for evvery pair of points (time, distance) you will verify:
time1 / distance1 = time2 / distance2 = time3 / distance3 = time4 / distance4 = 170 mph.
The proportional relationship means that the ration of the variables is constant, in this case the ratio is the velocity:
velocity = distance / time = constant = 170 mph
Answer:
Step-by-step explanation:
Hello,
(a) Peter cycle at an average speed of x km/h
it means that he is doing x km in 1 hour
so to do 40 km he needs 40/x hour
(b) it means that he was doing x-5 km/h
so it took 40/(x-5) hour
(c) 1 hour 20 minutes correspond to 1+20/60=1+1/3=4/3 hour as 1 hour is 60 minutes
so we can write
40/(x-5)=40/x+4/3
![3*40x=3*40(x-5)+4x(x-5) \ \ \ \text{multiply by 3x(x-5) both sides}\\ 120x =120x-600+4x^2-20x\\4x^2-20x-600 = 0\ \ \ \text{divide by 4} \\ x^2-5x-150=0](https://tex.z-dn.net/?f=%3C%3D%3E%203%2A40x%3D3%2A40%28x-5%29%2B4x%28x-5%29%20%5C%20%5C%20%5C%20%5Ctext%7Bmultiply%20by%203x%28x-5%29%20both%20sides%7D%5C%5C%3C%3D%3E%20120x%20%3D120x-600%2B4x%5E2-20x%5C%5C%3C%3D%3E4x%5E2-20x-600%20%3D%200%5C%20%5C%20%5C%20%5Ctext%7Bdivide%20by%204%7D%20%5C%5C%3C%3D%3E%20x%5E2-5x-150%3D0)
(d)
![x^2-5x-150=0\\ x^2+10x-15x-150=0\\ x(x+10)-15(x+10)=0\\ (x-15)(x+10)=0\\\\ x = 15 \ \ or \ \ x=-10](https://tex.z-dn.net/?f=x%5E2-5x-150%3D0%5C%5C%3C%3D%3E%20x%5E2%2B10x-15x-150%3D0%5C%5C%3C%3D%3E%20x%28x%2B10%29-15%28x%2B10%29%3D0%5C%5C%3C%3D%3E%20%28x-15%29%28x%2B10%29%3D0%5C%5C%5C%5C%3C%3D%3E%20x%20%3D%2015%20%5C%20%5C%20or%20%5C%20%5C%20x%3D-10)
the speed is positive so we take the positive solution which is 15
the speed is 15 km/h
hope this helps
do not hesitate if you need more information