Sofia said, "I'm thinking of a fraction that is equivalent to 5 6 . The numerator is 4 less than the denominator." What fraction is Sophia thinking of?

Answer: 20/24

Step-by-step explanation:

Let the denominator be x

The numerator is 4 less than the denominator. Therefore, numerator = x-4.

We can then use the information given in the question as:

5/6 = x-4/x.

Cross multiply.

5 × x = 6(x-4)

5x = 6x - 24

6x - 5x = 24

x = 24

Since the denominator is 24, the numerator will be: = x - 4 = 24 - 4 = 20

Then, the fraction will be 20/24

please show working ​

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To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.

a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
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i. buses
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The tables below show four sets of data:


Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11


Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9


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Set A
Set B
Set C
Set D

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