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:
Gain = S.P - C.P
Loss =C.P - S.P
where, S.P equals spelling price
and C.P equals cost price
Step-by-step explanation:
Hope it helps
Answer:
Two hundred seventy three thousand and fifty .
Step-by-step explanation:
Given : (27 thousands 3 hundreds 5 ones) x 10
Solution:
27 thousands 3 hundreds 5 ones = 27,305
So, 
Periods are counted from last .
The 1st period consists of ones, tens and hundred.
The 2nd period consists of thousand, 10 thousand and 100 thousands.
The 3rd period consists of million, 10 million and 100 million.
So, 273,050 is Two hundred seventy three thousand and fifty
Hence (27 thousands 3 hundreds 5 ones) x 10 is Two hundred seventy three thousand and fifty .
Answer: 20 cups of grape juice are needed for 8 cups of peach juice.
Step-by-step explanation:
5 times 4 is 20.
We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.
So, 20 cups of grape juice are needed for 8 cups of peach juice.
Hope this answer helps you out!
Step-by-step explanation:
Since AD bisects BC,
BD = DC.
Therefore 5x - 10 = 3x + 10 and x = 10.
