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attashe74 [19]
3 years ago
12

You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the mountain, you ride your bike 3 miles per h

our faster. It takes 20 minutes to ride your bike down the mountain. How far did you ride your bike in total?
Mathematics
1 answer:
denpristay [2]3 years ago
7 0

Answer:

18/5 miles

Step-by-step explanation:

let d be the mountain dist path

upward biking

x miles - 1 hr

d 45 mins

3x/4 = d

riding down

x+3 - 60 min

d. - 20

(1/3)(x+3) = d

(x+3)/3 = 3x/4

4x+12 = 9x

x = 12/5

d =( 12*3)/(4*5)= 9/5

upward+downward = 2*(9/5) = 18/5

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A Monarch Butterfly can fly 50 miles per day. How long would it take him to fly 2,500 miles?​
lisov135 [29]

Answer:

50 days

Step-by-step explanation:

2500/50 = 50

Answer: 50 days

3 0
3 years ago
A colony of bacteria starts with 50 organisms and quadruples each day. Write an exponential function, P(t), that represents the
Doss [256]
P(t) = 50 x (4)^t ; 51200 bacteria
5 0
3 years ago
Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Greeley [361]

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0
3 years ago
3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
Kazeer [188]

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

8 0
2 years ago
Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?
lidiya [134]
Well you would just multiply 374 by 15 and that would be your answer
8 0
3 years ago
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