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Lelechka [254]
2 years ago
9

Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will i

t take the boat to travel 36 miles downstream and 36 miles upsteam? (Two answers)
Mathematics
1 answer:
Lostsunrise [7]2 years ago
4 0

The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

  • A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
  • how long will it take the boat to travel 36 miles downstream and 36 miles upstream?

The time taken by the boat upstream will be calculated as:-

( B + W ) Td = D

( 12 + 3 ) Td = 32

( 15 ) Td = 32

Td = 32 / 15 = 2.1 hours

The time taken by the boat downstream will be calculated as:-

( B - W ) Tu = D

( 12 - 3 ) Tu = 32

9 Tu = 32

Tu = 32 / 9 = 3.56 hours.

Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

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antoniya [11.8K]

to get an A, she needs >=160 points and she already has 125 points

let 'x' be the number of points on the last part of her project then

125 + x >= 160

x >= 160 - 125

x >= 35

Sarah needs at least 35 points on the last part of her project.

8 0
3 years ago
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Find the perimeter of a rectangle with 23 inches long side and 15 inches on its short side?
Mama L [17]
23 + 23 + 15 + 15 = 76 inches
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A newly launched clothing line is rapidly increasing in popularity. Every month 20% more items of clothing are sold. If 70,800 i
prohojiy [21]

Answer:

<u>212,400 items</u> were sold in 10 months.

Step-by-step explanation:

Given:

Items sold this month = 70,800

Percent Increase in every month = 20%

We need to find number of items sold in coming 10 months.

Solution:

First we will find number of items increase in each month.

number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.

number of items increase in each month = \frac{20}{100} \times 70800 = 14,160

Now we will find number of item sold in 10 months.

number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.

framing in equation form we get;

number of item sold in 10 months = 70800+10\times 14160 = 212,400

Hence <u>212,400 items</u> were sold in 10 months.

8 0
3 years ago
PLEASE HELP!
____ [38]
<h3>Answer:</h3>
  • A. x = -2
  • B. (-2, -3), (-3, -1)
  • C. x = 0
<h3>Step-by-step explanation:</h3>

Part A. The solution is represented by the point at which the graphs intersect: (-2, -3). The x-value that makes p(x) = f(x) is x = -2.

___

Part B. The point found in Part A is one solution to f(x). The graph shows the line has a slope of -2, so another point will be 1 to the left and 2 up: (-3, -1). So, two solutions are ...

... (-2, -3) and (-3, -1)

___

Part C. The graphs of p(x) and g(x) intersect at the point (0, 2). This means

... p(0) = g(0) = 2

So, x = 0 is the solution to the equation p(x) = g(x).

7 0
3 years ago
The number of students in a geometry class is four
stira [4]

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

6 0
2 years ago
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