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Reptile [31]
3 years ago
13

Maria can paddle her canoe 2 miles upstream against the current in the same time it would take her to paddle 6 miles downstream.

Maria can paddle 2 mph in still water. What is the speed of the current?
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

Step-by-step explanation:

Maria can paddle her canoe 2 miles upstream against the current in the same time it would take her to paddle 6 miles downstream.

Maria can paddle 2mph in still water.

What is the speed of the current?

:

let c = the rate of the current

then

(2-c) = effective speed upstream

and

(2+c) = effective speed downstream

:

Write a time equation; time = dist/speed

Two mi upstr time = six mi downstr time

2%2F%28%282-c%29%29 = 6%2F%28%282%2Bc%29%29

Cross multiply

2(2+c) = 6(2-c)

4 + 2c = 12 - 6c

2c + 6c = 12 - 4

8c = 8

c = 1 mph is the current

:

:

Check this, find the time each way,

effective speed down: 2 + 1 = 3 mph

effective speed up: 2 - 1 = 1 mph

6/3 = 2 hr

2/1 = 2 hrs

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Step-by-step explanation:

Because it is 21.5 miles per one gallon of gas.

You divide 387 by 18 to get 21.5 then multiply 21.5 by 11

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It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,
diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

  • Let the Todd's time be t.

<u>Given the following data:</u>

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  • Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

<u>For </u><u>Sue</u><u>:</u>

Rate = \frac{1}{10} \;work/hr

<u>For </u><u>Jeff</u><u>:</u>

Rate = \frac{1}{12} \;work/hr

<u>For </u><u>Todd</u><u>:</u>

Rate = \frac{1}{t} \;work/hr

<u>Combined rate:</u>

Rate = \frac{1}{4} \;work/hr

Adding the individual rates, we have:

\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\&#10;\\&#10;

Multiplying all through by 120t, we have:

12t+10t+120=30t\\&#10;\\&#10;22t+120=30t\\&#10;\\&#10;120=30t-22t\\&#10;\\&#10;120=8t\\&#10;\\&#10;t=\frac{120}{8}

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Read more on word problems here: brainly.com/question/13170908

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3 years ago
The value of x is? What is the value of x in this problem?
snow_lady [41]

Answer:

x=96°

Step-by-step explanation:

For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by

180-130=50

For the bottom right angle, we know that they are supplementary, so we can find that angle by

180-134=46

As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.

180-50-46=84

Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180

180-84=x\\x=96

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3 years ago
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Ulleksa [173]

A triangle is rotated around N to give the primed version.


A. Same shape and size -- TRUE.  Rotation doesn't change shape or size.

B. Corresponding points are equidistant to N.  That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.

C. DN=D'N.  TRUE, just an example of corresponding points.

D. Corresponding side lengths unequal, FALSE.  Rotation doesn't change lengths.



7 0
4 years ago
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