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Leto [7]
1 year ago
12

Suppose that a person with a push mower can mow a large lawn in 5 ​hours, whereas the lawn can be mowed with a riding lawn mower

in 3 hours. working​ together, how long will it take to mow the​ lawn?
Mathematics
1 answer:
Reil [10]1 year ago
6 0
------------------------------------------------------------------
Push Mower
------------------------------------------------------------------
It takes 5 hours to complete the job
1 hour = 1/5 of the job

------------------------------------------------------------------
Riding Lawn Mower
------------------------------------------------------------------
It takes 3 hours to complete the job
1 hour = 1/3 of the job

------------------------------------------------------------------
Push Mower + Riding Lawn Mower
------------------------------------------------------------------
1 hour = 1/5 + 1/3 
1 hour = 3/15 + 5/15 
1 hour = 8/15 of the job.

------------------------------------------------------------------
Calculate time needed to complete
------------------------------------------------------------------
8/15 of the job takes 1 hour
8/15 of the job = 1 hour 

------------------------------------------------------------------
Divide by 8/15 on both side
------------------------------------------------------------------
8/15 ÷ 8/15 of the job = 1 ÷ 8/15 hour
Whole of the job = 1 x 15/8 hours
Whole of the job = 15/8 hours
Whole of the job = 1 7/8 hours

------------------------------------------------------------------
Answer: 1 7/8 hours
------------------------------------------------------------------

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Step-by-step explanation:

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Assemble the proof by dragging tiles to the statements and reasons columns.<br><br> PLEASE HELP
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m<ABD = 52                               Given

BC bisects <ABD                        Given

m<ABC =  m<CBD                      Definition of angle bisector.

m<ABC +m<CBD = m<ABD        Angle addition postulate.

m<ABC +m<CBD = 52                Substitution

m<ABC + m<ABC= 52                Substitution

2m<ABC = 52                             Combining like angles

m<ABC = 26                                Division property of equality.  

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