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s2008m [1.1K]
3 years ago
7

Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet short

er than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K

Mathematics
1 answer:
hram777 [196]3 years ago
6 0
The sketch of the garden and the pond is shown below

Area of garden = length × width
Area of garden = [3x + 5] × 3x
Area of garden = 3x[3x+5]
Area of garden = 9x² + 15x

Area of pond = [x-2] × x
Area of pond = x[x-2]
Area of pond = x² - 2x

Area to be re-sod = Area of garden - Area of pond
Area to be re-sod = 9x² + 15x - [x² - 2x]
Area to be re-sod = 9x² - x² + 15x + 2x
Area to be re-sod = 8x² + 17x

The amount of sod needed to be bought would depend on how much in each packaging they are being sold.

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Rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.
Leni [432]

Answer:

  • V=8×6×3

Step-by-step explanation:

Given that,

the rectangular prism has ;

  • length=8meters
  • width=6meters
  • height=3meters

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u><u> </u>

  • volume =length×width×height
  • V=8×6×3
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2 years ago
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Abby is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those s
Harlamova29_29 [7]

Step-by-step explanation:

37.5% = 180people

100% = 180/37.5 x 100 = 480

answer: 480 people

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6 0
3 years ago
Mr.Johnson leaves on a trip planning to travel 24 mph
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3 years ago
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The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
lesya [120]

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

6 0
2 years ago
Find what p is 77=8p+5 p=
kirill115 [55]

p is 9

<u>Step-by-step explanation:</u>

Step 1:

Given 77 = 8p + 5. Find p

⇒ 8p + 5 = 77

⇒ 8p = 72

⇒ p = 72/8 = 9

6 0
3 years ago
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