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vova2212 [387]
2 years ago
13

3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

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Answer:

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Step-by-step explanation:

50 ml of 12% solution has 50*0.12 ml of alcohol

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(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol

The equation to solve is:

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2 years ago
PLEASE HELP ME!
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Thicknesses at different point are: <span>41, 38, 36, 29, 34, 44, 46, 43, 35, 40


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2 years ago
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A friend asks to borrow $900 for three months and agrees to pay 5% simple interest per year. How much interest will you earn in
Talja [164]

Answer:

$11.25 intrest

Step-by-step explanation:

the amount times the months divided by 12 times the percent gives you the intrest

7 0
2 years ago
joanne cannot decide which of two washing machines to buy. The selling price of each is ​$660. The first is marked down by ​40%.
Alexxx [7]

Answer: The first machine would cost $420

and the second machine would cost $432

you should buy the first machine

Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.

Machine 1:  600(.70) = 420

Machine 2:  A 10% discount means you pay 90%

600(.90) = 540   But now you get a 20% discount on that amount, which means you would pay 80%

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r. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice a
ad-work [718]

Answer:

  • The equation 2n = p should be 2p = n.
  • The actual cost of the onions is $3.00 per pound.
  • Potatoes cost $1.50 per pound.

Step-by-step explanation:

The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...

  2p = n

Then the solution is ...

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  p = 18/12 = 1.50

  n = 2p = 2(1.50) = 3.00

__

The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.

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2 years ago
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