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Roman55 [17]
2 years ago
7

John can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both John and Rocky to

mow the lawn if they are working together?
Mathematics
1 answer:
mario62 [17]2 years ago
4 0

Answer: it will take them 48 minutes.

Step-by-step explanation:

John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80

Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/80 + 1/120 = 200/9600 = 1/48

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

1/48 = 1/t

t = 48 minutes

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3. Bryce mows lawns to make some extra money. He charges $15 per lawn. Bryce will
anyanavicka [17]

The domain and range of a function is the set of input and output values, the function can take.

  • <em>The domain is [0,6]</em>
  • <em>The range is [0,90]</em>

<em />

From the question, we have:

\mathbf{Rate = \$15}

<u>The domain</u>

He cannot mow more than 6 yards a day.

This means that the domain is: 0 to 6

<em>This is properly represented as: [0,6]</em>

<u></u>

<u>The range</u>

When he mows 0 yards, his earnings is:

\mathbf{Earnings = 0 \times \$15 = \$ 0}

When he mows 6 yards, his earnings is:

\mathbf{Earnings = 6 \times \$15 = \$ 90}

This means that the range is: 0 to 90

<em>This is properly represented as: [0,90]</em>

Read more about domain and range at:

brainly.com/question/4767962

5 0
2 years ago
Jacob wants to know the favorite sport among 6th grade students. Which types of survey below would give Jacob valid results?
Anastasy [175]
Answers are A, D
Because they will have people that don’t like sports and do like sports where as if you survey them in a sports shop there gonna like sports otherwise they wouldn’t be there
4 0
2 years ago
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Determine the domain of the function.
Dafna1 [17]
We are given with a verbal phrase of a function<span> of x is equal to the square root of x plus one divided by x plus four times x minus six. 

This is expressed as f(x) = </span>√(x) + 1/x + 4x - 6 
the domain are values which include only natural numbers because of the square root sign. answer is D. <span>x ≥ 0</span>
4 0
3 years ago
8 cm<br> 10 cm<br> 3 cm<br> 12 cm<br> Work out the shaded area of the shape?
qwelly [4]

Answer:

36 sq. cm

Step-by-step explanation:

triangle area= 0.5 * 12* 10

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60 - 24 = 36

6 0
3 years ago
5x + 3y = 4z Solve for Y.​
harkovskaia [24]

Answer:

y = -5/3x + 4/3z

Step-by-step explanation:

5x + 3y = 4z

3y = -5x + 4z

y = -5/3x + 4/3z

6 0
3 years ago
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