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kipiarov [429]
3 years ago
7

Suppose that a person with a push mower can mow a large lawn in 2 ​hours, whereas the lawn can be mowed with a riding lawn mower

in 1 hours. working​ together, how long will it take to mow the​ lawn
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0
Working together, the job takes x hours to do.

If a lawn can be mowed with a push mower is 2 hours, then in 1 hour, you do 1/2 of the job.

If the same lawn can be mowed with a riding mower in 1 hour, then in 1 hour you do 1 job.

If the same lawn can be mowed by the two mowers together in x hours, then in 1 hour you get 1/x done.

1/2 + 1 = 1/x

3/2 = 1/x

x = 2/3

They take 2/3 of an hour. 2/3 * 60 min = 40 minutes.
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Find area of the composite figure..
saveliy_v [14]

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

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Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

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3 0
3 years ago
When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what
Vanyuwa [196]

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

8 0
3 years ago
a pet store has 7 cats here are their weights 12, 12, 9, 16, 11, 11, 9 find the mean weighy of these cats ​
shusha [124]

Answer:

The mean weight of the cats is 11.42 (rounded)

Step-by-step explanation:

To find the mean, you add up all the weights (12, 12, 9, 9, 11, 11, 16) and then divided the sum (80) of the weights by the number of cats (7)

12+12+9+9+11+11+16= 80

80 ÷ 7= 11.42857143 (I rounded my answer to 11.42)

I hope this was helpful. Have a wonderfull rest of your day!

5 0
3 years ago
Line PQ in line RS intersect to form four right angles which statement that would it be
Sholpan [36]

Answer:

PQ is perpendicular to RS

that is to mean:

PQ⊥RS

Step-by-step explanation:

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4 years ago
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