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MArishka [77]
2 years ago
13

Amanda earns £285 a week.This is due to increase by 10%.How much is the increase

Mathematics
1 answer:
Natali [406]2 years ago
3 0

Answer:

28.5

Step-by-step explanation:

i think itś 28.5 because 285 is after an increase of 10% which would mean 28.5 was the increase

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Solve for x. 2/x =2/6
olganol [36]
The answer is x = 6.

Here are the steps.

1. Simplify 2/6 to 1/3 ( 2/x = 1/3 ).

2. Multiply both sides by x ( 2 = 1/3x ).

3. Simplify 1/3x to x/3 ( 2 = x/3 ).

4. Multiply both sides by 3 ( 2 * 3 = x ).

5. Simplify 2 * 3 to 6 ( 6 = x ).

Now finally switch it up and the answer is x = 6.
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Step-by-step explanation:

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(Adding and Subtracting Polynomials)
andrey2020 [161]

Adding and subtracting big polynomials like these are pretty easy. You just need to combine like terms. For example:

1.)

{5x}^{2}  +  {3x}^{2}  =  {8x}^{2}

2.)

({3x}^{2}  + 5xy) + (7xy + 2) =

{3x}^{2} + 12xy + 2

(The 3x^2 and the 2 stay intact while the 5xy and 7xy combine together)

All you have to do is combine the numbers that have the same powers of x and y with each other. x^2 will combine with x^2 and xy^2 wil combine with xy^2 exc. If there is no other number with the same x and y's, then you just leave it as it is in the answer.

Now with the original question, I see a -9xy^3, and thats gonna combine with the 3xy^3 in the second polynomial and the 2xy^3 in the third one.

- 9x {y}^{3}  + 3x {y}^{3}  + 2x {y}^{3} = \\  - 4x {y}^{3}

So far we have -4xy^3, the next term is going to be a -9x^4y^3, and that's gonna combine with the 3x^4y^3 in the third one.

- 9 {x}^{4} {y}^{3}  + 3 {x}^{4}  {y}^{3}  =  - 6{x}^{4}  {y}^{3}

We now finished adding the like terms that were in the first polynomial, we will move onto the second polynomial. The first term in this one is 3xy^3, in which we already added in the first step. At this point, it doesn't look like there are any other terms that have the same x and y behind them. So we can move on and write the final answer:

- 4x {y}^{3} - 6 {x}^{4} {y}^{3}  + 7 {y}^{4}  \\ - 8 {x}^{4} {y}^{4}

(All on the same line of course)

Also, for your second question, the order does not matter in which you write the terms. I could write the 7y^4 behind the -8x^4y^4 and it would still be the same answer.

If you have any other questions let me know :) while I double check my work.

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