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chubhunter [2.5K]
3 years ago
13

Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen

ce, how long does it take Evan to paint the fence alone?
Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

24hours

Step-by-step explanation:

let Evan be x, Tyler=x-12,equate;1/x+1/(x-12)=1/8,to get x=24 or 4.The correct value of x=24 because if you take x=4 means that Tyler=-8hours which is impossible

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A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t
klemol [59]
Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

Month     Mandy    Bill
May          18          4
June         20          8
July          22        12
August     24        16
Sept        26        20
Oct          28        24
Nov          30        28
Dec        32          32
At the end of December they will have read the same amount of books.
6 0
3 years ago
Read 2 more answers
Need help with these 3 questions (giving brainiest if you can answer with equations)
Tpy6a [65]

Problem 10

<h3>Answer: approximately 57.39159 km</h3>

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<h3>Answer: approximately 10.46162 meters </h3>

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x*tan(37) = 12.1

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Answer:

<

Step-by-step explanation:

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liberstina [14]
3 puppies were available.
I hope I helped!
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