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3 years ago

John and Alan have a collection of x baseball cards. John has x/4 cards. What fraction of the cards does Alan have?

Mathematics

2 answers:

maw [93]3 years ago

8 0

Answer: B. $\frac{3x}{4}$

Step-by-step explanation:

Given: The total number of cards John and Alan has = x

The number of cards John has = $\frac{x}{4}$

Then to find the number of cards Alan has, we need to subtract the number of cards John has from the total number of cards.

Then, the number of cards John has = $x-\frac{x}{4}$

⇒ The number of cards John has = $\frac{4x-x}{4}$

⇒ The number of cards John has = $\frac{3x}{4}$

Furkat [3]3 years ago

3 0

The fraction of cards that Alan has is 3x/4. The correct answer is B.

x-x/4
4x-x/4
3x/4
he has 3x/4 cards

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3 years ago

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i When 20 is added to a certain number and the sun is divided by 3, the result is 3 times the number, find the number.

Bingel [31]

Answer:

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Step-by-step explanation:

Hope that this is helpful .

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3 0

3 years ago

Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .

Masja [62]

Answer:

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets y = f(x) in a cartesian coordinates

Having three zeros:

x = -3 ⇒ x = -2 ⇒ and x = 1

That meas that if x takes the above mentioned values " y " must be zero

therefore y must be of the form

f (x) = y = ( x + 3 ) * ( x + 2 ) * ( x - 1 ) (1)

In that case for y to be zero one of the factors should be zero or

y = 0 x + 3 = 0 and x = - 3 is a zero of the function y .

The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x = 3 , y have to be 11, therefore we plug in equation (1) that value to see what happens

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )

11 = ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) = 6*5*2 = 60

Then we adjust the expression (1) to meet the condition of the function passing through point ( 3 , 11) as:

y = ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60 (2)

and check to see if we did right

for y to be zero x can be x = - 3 x = -2 and x = 1 in all these cases y = 0. And if x = 3 in equation (2) y = 11. And that what we want to shown. Then the solution is:

y = ( x + 3 ) * ( x + 2 ) * ( x - 1 )* 11/60

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3 years ago

Solve the equations<br>Y=2x-4, 3x+y=1

liberstina [14]

Step-by-step explanation:

$y = 2x - 4$