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Andru [333]
3 years ago
6

Gary found 72 shells and 40 coins at the beach. He wants to give them to some of his friends. Each friend will receive the same

number of shells and the same number of coins. What is the greatest number of friends Gary can give shells and coins to? How many shells will each friend receive? How many coins?
Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

8 friends, 9 shells and 5 coins.

Step-by-step explanation:

For this question you will need to know how to factorise a number in prime numbers.

72/2 => 36/2 => 18/2 => 9/3 => 3

So 72 is 2*2*2*3*3 = 72

Then 40 = 2*2*2*5

Their common factors are 2*2*2 = 8

So there's only 8 friends at most to have whole numbers.

To see how many shells you only need to do 72/8 = 9

For the coins, 40/8 = 5

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Please help. 24 points!!
Lina20 [59]

The given function is,

f(x)= \frac{2x-1}{x+5}.

Or, y= \frac{2x-1}{x+5}

To find the inverse of a function, first step is to switch x and y. Therefore,

x= \frac{2y-1}{y+5}

Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,

x*(y+5)= \frac{2y-1}{y+5}*(y+5)

xy + 5x = 2y - 1

xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.

xy - 2y = -5x - 1 Subtract 2y from each sides.

y(x - 2) = -5x -1 Take out the common factor y.

\frac{y(x-2)}{(x-2)} =\frac{(-5x-1)}{(x-2)} Divide each sides by x-2.

y=\frac{(-5x-1)}{(x-2)}

So, f^-1(x)=\frac{-5x-1}{x-2}

Now when we will compare f^-1(x)=\frac{-5x-1}{x-2} with f^-1(x)=\frac{ax+b}{cx+d} then we will get a = -5, b = -1, c = 1 and d=-2

So, \frac{a}{c} =\frac{-5}{1} =-5

Hope this helps you!

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2 years ago
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Answer:

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Step-by-step explanation:

if b increases and the only other part of the equation is a constant it should increase as well. for example (the first value is b and the second is b-1) : (1,0) (2,1) (3,2) (4,3) (5,4)...

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