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Maths
GCSE

Solve 5x - 6 = 3x + 7

Rearrange the equation so that both x's are on the same side of the equation, making sure that you change the sign of the number you bring across: 5x - 3x = 7 + 6 Now simplify: 2x = 13 Divide by 2: x = 13...

Answered by Helena W. Maths tutor
7323 Views

If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

The key is start out by working out the number of widgets per minute that a single machine makes. If it takes five minutes for five machines to produce five widgets then, on average, it takes five machine...

Answered by Hamza A. Maths tutor
80946 Views

How can I calculate the value of a number raised to the power of a fraction, e.g., 9^(3/2)?

In order to calculate the value of a number raised to the power of a fraction, you first find the root of the number according to the value of the denominator (bottom number of the fraction).

In th...

Answered by Elsa A. Maths tutor
10223 Views

Work out the value of 125^(-2/3)

Step 1: Write 125 as an exponent. Is there any number you can multiply by itself a few times to give you 125? The answer is 5 because 5 x 5 x 5= 5 x 25 = 125. Step 2: Since we know that 125=5^3, we can r...

Answered by Araba S. Maths tutor
7310 Views

Rearrange y = (3x+5)/x to make x the subject

Step 1: Multiply both sides by x to obtain xy = 3x + 5. Step 2: Place all the 'x' terms on the same side of the equation to obtain xy-3x=5 Step 3: Factor out x from the left side of the equation: x (y-3) ...

Answered by Araba S. Maths tutor
23763 Views

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