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romanna [79]
2 years ago
14

In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters dir

ectly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?
Write your answer as a whole number.

centimeters per minute upstream
Mathematics
1 answer:
storchak [24]2 years ago
7 0

Answer:

It would approximately be 3.73 m/h

Step-by-step explanation:

0.8 mins is 48 seconds

I then divided 8000 by 48 seconds to see how many cm it traveled per second.

It traveled 166.666666667 cm per second

I then converted cm to feet

so it was 5.468066491699474 feet per second

I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.

Then I multiplied it by 60 so it was 0.06213711922 miles per minute.

Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.

I rounded it to the nearest hundredth making it 3.73 m/h

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Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.

Then, based upon the given info, 1j + 2c = $5.

Also, 3j + 5c = $14.50

Let's solve this system of equations using addition/subtraction:

Mult. the first equation by -3, to obtain   -3j - 6c = -$15

Now add this result to the 2nd equation:   

-3j - 6c = -$15
3j + 5c = $14.50
----------------------
     -c = -$0.50, or c = $0.50.       Since   3j + 5c = $14.50, subst. $0.50 for c 
lets us find j:

3j + 5($0.50) = $14.50, so 3j = $12.00.  Thus, j = $4.00.


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3 years ago
What is the problem of 200 and 400
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What was the price of Andrea's tacos before the tip
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3 years ago
The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while
Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

Tickets = 434

Students = \$4.00

Non-Students = \$6.00

Total = \$2032.00

Solving (a): Number of students

Represent students with S and non students with N

So:

S + N = 434 --- (1)

4S + 6N = 2032 --- (2)

Make N the subject of formula in (1)

N = 434 - S

Substitute 434 - S for N in (2)

4S +6(434 - S) = 2032

Open Bracket

4S + 2604 - 6S = 2032

Collect Like Terms

4S - 6S = 2032 - 2604

-2S = -572

Divide through by -2

S = 286

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

N = 434 - S

N = 434 - 286

N = 148

<em>148 non students attended</em>

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