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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
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If you answered 17 out of 25 questions correct on a quiz, what would your grade be as a percent?​
k0ka [10]

Answer:

68%

Explanation:

17/25 = 0.68

5 0
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This is the range of sample statistics obtained when many samples are selected?
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3 years ago
9(5x + 1) ÷ 3y
Vsevolod [243]

Answer:

Step-by-step explanation:

5x + 1 is a SUM.

3y is a TERM.

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8 0
3 years ago
Read 2 more answers
Please help, At a festival 2/7th of the number of girls was equal to 3/5th of the number of boys.
fenix001 [56]

Answer:

465

Step-by-step explanation:

Let the number of girls at the festival be--------- g

Let the number of boys at the festival be---------b

The conditions are;

2/7 g = 3/5 b ---------------(i)

g-b= 165 ---------------------(ii)---------make g the subject of the expression

g= 165 +b---------------------(iii)--------use this equation in (i)

2/7 (165 +b)= 3/5 b -------multiply both sides by 7

7*2/7(165+b) =3/5*7 b

2(165+b)=21/5 b ------multiply both sides by 5

5*2(165+b) = 21/5*5*b

10(165+b) = 21 b -------open brackets

1650 +10 b = 21 b------collect like terms

1650 = 21 b- 10 b

1650 = 11 b -----divide both sides by 11

1650/11 = 11b/11

150 = b = number of boys

Using equation (ii) where g-b =165  ;  g-150 =165 , g= 165+150 =315 number of girls

Total number of children at the festival = 150+315 =465

7 0
3 years ago
Which of the following numbers is NOT a solution of
kumpel [21]

Answer:

15

Step-by-step explanation:

6x+11 > 7x-2

2+11 >7x-6x

13>x

15 is more than 13 which does not satisfy the inequality.

X has to be less than 13 and cannot even equal 13 as that is not the sign

5 0
3 years ago
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