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skad [1K]
3 years ago
15

The area of a playground is 204 yards squared the width of a playground at 5 yards longer than its length whats the length and t

he width of the playground
Mathematics
1 answer:
Ilya [14]3 years ago
6 0
W= width= L+5
L= length
Area= 204

Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)

0= L+17
-17= L

0= L-12
12 yards= L


WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.

w=L+5
w=12+5
w=17 yards


CHECK:
204=(12)(17)
204=204


ANSWER: The length is 12 yards and the width is 17 yards.

Hope this helps! :)
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Step-by-step explanation:

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3 0
3 years ago
five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
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(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
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a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
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4 0
3 years ago
a car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallon g. How many g
ch4aika [34]

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so d/x = g

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5 0
3 years ago
Read 2 more answers
9. A rectangle has a length 2 ft less than three times its width. What is the area of the rectangle when its
Burka [1]

Answer:

Area = 8 square ft

Step-by-step explanation:

Area of a rectangle = Length × width

suppose length = x

width  = y

Here it is given that  x = 3 y - 2

             width is given as y = 2 ft

            ∴ x = 3 × 2 -2

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 Area of rectangle = length × width

                              A = 4 × 2

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4 0
3 years ago
Simplify and determine the coefficient of (-x)(5y)(-2x).<br><br> A. -4<br> B. 1/5<br> C. 1<br> D. 4
Mekhanik [1.2K]

Answer: 10

Step-by-step explanation:(-x)(5y)(-2x)

=(-5xy)(-2x)

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therefore,the coefficient of the equation is 10.

3 0
3 years ago
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