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Alina [70]
4 years ago
6

A boat traveld 27 miles in 2 hours. At this rate ow many miles will the boat travel in .5 hour?

Mathematics
1 answer:
Andrew [12]4 years ago
6 0

You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.

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13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
Dovator [93]

Answer: Median= 91; 8th quiz score=86

Step-by-step explanation: The sum of the scores is 8×92=736. Subtract the 6 given scores and then a 100 for the seventh quiz to find the score she got on the 8th quiz, this is an 86. Now that you have all the scores, arrange them all in the least to greatest order and find the average of the middle two numbers (median), which is 91!

7 0
3 years ago
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the are
Katarina [22]

Answer: Area = 6m²

              Smaller number = 16

              Hours = 9.6 h

Step-by-step explanation:

A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.

1) w = x m                                2) w = x + 1 m

     l = x + 5  m                               l = x + 5 - 2 = x + 3 m

A₁ = A₂

A = w*l

A₁ = x(x+5) = x² + 5x

A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2

A₁ = A₂

x² + 5x = x² + 3x + 2

5x - 3x = 2

2x = 2

x = 1

A₁ = x(x+5) = 1.6 = 6 m²

The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.

<u> 2 </u> = <u> x </u>

5     40

5x = 80

x = 80/5 = 16

Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?

workers                      hours

    16                              3

     5                               x

↑                                          ↓              inversely proportional

<u> 5 </u> = <u> 3 </u>

16      x

5x = 16*3

5x = 48

x = 48/5

x = 9.6 h

 

6 0
3 years ago
Step 1: 80z + 2,000 + 40 Step 2: 80z + 2,040<br><br><br> Where did she make a mistake
mihalych1998 [28]
No, she did the right way!!!!!
7 0
3 years ago
Hey guys i need some heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp- 15 points
masya89 [10]

Answer:

Step-by-step explanation:

3x + 2 + 58 = 90

3x + 60 = 90

3x = 30

x = 10

it's adjacent

8 0
3 years ago
Min knows that Pi times r = 9.42 centimeters. What would she need to do to find the area?
Alinara [238K]

Answer:

The area of the circle is 28.26.

Step-by-step explanation:

πr =9.42

Using that, we can find the radius, which will help us find the area of the circle.

9.42/π = 3 (I used 3.14 for π)

The formula for area of a circle is:

πr^2

Plug our values in.

π(3^2)

9π

28.26

The area of the circle is 28.26.

To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.

5 0
3 years ago
Read 2 more answers
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