Answer:
Her speed on the summit was 35 mph.
Step-by-step explanation:
Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:
time uphill = distance uphill / speed uphill = 55 / (x - 10)
time summit = distance summit / speed summit = 28 / x
total time = time uphill + time summit
3 = [55 / (x - 10)] + 28 / x
3 = [55*x + 28*(x - 10)]/[x*(x - 10)]
3*x*(x - 10) = 55*x + 28*x - 280
3x² - 30*x = 83*x - 280
3x² - 113*x + 280 = 0
x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph
x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph
Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.
Answer:
D
Step-by-step explanation:
You are starting at 4 and going back 6 to -2.
Idk if this really helps, but I put them into Desmos (free graphing thing) and this popped up
Probability is (desired outcomes)/(total possible outcomes)
ok, you must make a choice
1. if you believe that 1 is prime (which I don't) go to AAAAAAAAAAA
2. if you believe that 1 is NOT prime, go to BBBBBBBBBBB
AAAAAAAAAAAA
prime numbers from 1 to 6 are
1,2,3,5
desired outcomes=4
total possible =6
4/6=2/3
BBBBBBBBB
prime numbers from 1 to 6 are
2,3,5
3 desired outcomes
6 total possible
3/6=1/2
if you belive that 1 is prime, then 2/3 is probability
if you believe that 1 is NOT prime then 1/2 is probability
