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.
A. d=50t B. 50,100,150,200,250 C. 50 days
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
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So:
6 × 3 × 2 = 36
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Have a good day :)
They all have the same y-intercept
Answer:
Ratio [Pam to her brother] = 2:5
Step-by-step explanation:
Given:
Pam saves every two dollar
Her brother saves fives dollar (For every two dollar)
Find:
Ratio [Pam saving and his brothers saving]
Computation:
It is given that if Pam saves $2 her brother saves $5
So,
Ratio [Pam to her brother] = 2/5
Ratio [Pam to her brother] = 2:5
