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ArbitrLikvidat [17]
2 years ago
15

Ayaan has 20 stamps more than 3 times the number of stamps Affan has. If both of them together have 140 stamps. How many stamps

does Affan have?
Mathematics
1 answer:
neonofarm [45]2 years ago
6 0

Answer:

Let affan have x no. of stamps Then,

According to the question Ayaan has 20 stamps more than 3 times the number of stamps Affan has. Then,

x = 3x + 20

Now they both have 140 stamps all together. so,

x + 3x + 20 = 140

or, 4x = 140 - 20

or x = 120/4

or, x = 30

Therefore, Affan has 30 stamps .

Hope this helps

Hope this helpsALL THE BEST !!

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Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

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L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

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2 years ago
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