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:
The formula: e7 = (b7*d7)+(c7*d7*1.5)
Step-by-step explanation:
Given:
Hours worked = b7
Hourly rate = d7
Overtime hours = c7
Salary calculation = e7
Salary = Hours worked*hourly rate + (overtime*hourly rate)*1.5
Formula
e7 = (b7*d7)+(c7*d7*1.5)
The formula e7 = (b7*d7)+(c7*d7*1.5)
Hope this will helpful to you.
Thank you.
y=(1/3)x-2
Step-by-step explanation:
the slope-intercept form is y-y1=m(x-x1)
hence, y-0=1/3(x-6) or y=(1/3)x-2
Answer:
Quadratic expression
Step-by-step explanation:
5x + 3x^2 − 7
Degree of expression = 2
So it is Quadratic expression
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
