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vlabodo [156]
3 years ago
6

During the summer holidays, your brother earns extra money mowing lawns. He mows 6 lawns an hour and has 21 lawns to mow. How lo

ng will it take him?
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

His brother will take 3.5 hours or 3\frac{1}{2} hours to mow 21 lawns

Step-by-step explanation:

Given:

His brother mows 6 lawns in an hour.

To find the time his brother takes to mow 21 lawns.

Solution:

We will unitary method to find the time he will take to mow 21 lawns.

If 6 lawns are mowed in 1 hour

So, 1 lawn will me mowed in = \frac{1}{6} hours.

Thus 21 lawns will be mowed in = \frac{1}{6}\times 21=\frac{21}{6}=3.5 hours.

Thus, his brother will take 3.5 hours or 3\frac{1}{2} hours to mow 21 lawns

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Solve 7x+3y=8 and 4x-y=-9 simultaneously
Jobisdone [24]

Answer: x = -1 and y = 5

Step-by-step explanation:

7x + 3y = 8 ........................... equation 1

4x - y = - 9 ............................ equation 2

Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have

y = 4x + 9 ............................. equation 3

substitute y = 4x + 9 into equation 1 , we have;

7x + 3 ( 4x + 9 ) = 8

7x + 12x + 27 = 8

19x + 27 = 8

subtract 27 from both sides

19x = -19

divide through by 19

x = -1

substitute x = -1 into equation 3 , we have

y = 4 ( -1) + 9

y = -4 + 9

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x = -1 and y = 5

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A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide. Which inequality can be used to determine the s
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Step-by-step explanation:

squirrel speed (r) x seconds (3)  has to be more than 34 feet

3r is greater than 34

r is greater than 11.3

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What is the solution to the equations -4x+9y=9 and x+3y=-6
Katen [24]

Answer:

x=-27/7, y=-5/7. (-27/7, -5/7).

Step-by-step explanation:

-4x+9y=9

x+3y=-6

-------------

-4x+9y=9

-3(x+3y)=-3(-6)

-----------------------

-4x+9y=9

-3x-9y=18

----------------

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x=-27/7

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3y=-6+27/7

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y=(-15/7)/3

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3 years ago
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