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How would I solve the equation 25^x = 5^(4x+1)?

You would have to rewrite 25 as 5^2 hence 25^x = (5^2)^x = 5^(2*x).

Then 5^(2x) = 5^(4x+1) and therefore 2x = 4x + 1 hence 2x = -1 hence x = -1 / 2. 

MP
Answered by Marius P. Maths tutor
8908 Views

Emma has a digital photo. The photo has width 960 pixels and height 720 pixels. Write down the ratio of the width of the photo to the height of the photo. Give the ratio in its simplest form.

4:3 Working: 960:720 (divide by 10) 96:72 (divide by 8 as 8 is common multiple of both 96 and 72 (should know this from times tables)) 12:9 (divide by 3) 4:3 simplifying slowly and in small steps r...

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Answered by Alexandra D. Maths tutor
6630 Views

Expand 2x(x-3)

2x2 - 6x

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Answered by Alexandra D. Maths tutor
13928 Views

Two shops have deals for purchasing pens: "3 for £2" and "5 for £3" . Mr. Papadopoulos wants to buy 30 pens for his class in school, which deal should he use if he wants to spend the least amount of money possible, and how much will he spend?

3 for £2,

he needs 30 pens so he needs to buy the deal 10 (30/3) times, meaning he needs to spend 10 * £2 = £20

5 for £3,

he needs 30 pens so he needs the deal 6 (30/5) times, meaning...

SR
Answered by Stefanos R. Maths tutor
2954 Views

Calculate, giving the answer as simply as possible, 7/12 + 1/12

7/12 + 1/12 = 8/12

8/12 can be simplified to 2/3

therefore the answer is 2/3 as this is the most simplified version of the fraction 8/12

SR
Answered by Stefanos R. Maths tutor
3396 Views

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