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PilotLPTM [1.2K]
3 years ago
8

Solve 3x-4y=18,9x+2y=12

Mathematics
1 answer:
jasenka [17]3 years ago
4 0
The values of x and y are 2 and -3 respectively.

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Amir started a business with john and jack. Amir invested 2/6 of the amount to start a business. John 2/5 of the investment. The
Nonamiya [84]

First, we need to add 2/6 and 2/5.

2/6 can be simplified to 1/3

We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.

Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.

Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.

5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.

Let's say that x is the total amount invested by all three.

6000/x would equal 4/15.

Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.

90000 would equal 4x. Divide both sides by 4 to get x.

90000 divided by 4 would be 22500.

4/15 is the fraction by Jack

22500 is the total amount invested by all 3

7 0
2 years ago
Expand $\left(x^2 \frac{1}{x}\right)^3$. (Write the terms with higher degree first, so for example an $x^2$ term would come befo
Ilya [14]

Answer:

x^6+3x^3+3+\dfrac{1}{x^3}

Step-by-step explanation:

We can use the pascal triangle to find the coefficients of the expasion of the cube. It holds that

(x^2 + \dfrac{1}{x})^3=(x^2)^3+3(x^2)^2\dfrac{1}{x}+3x^2(\dfrac{1}{x})^2+(\dfrac{1}{x})^3\\\\=x^6+3x^4\dfrac{1}{x}+3x^2\dfrac{1}{x^2}+\dfrac{1}{x^3}\\\\=x^6+3x^3+3+\dfrac{1}{x^3}

4 0
3 years ago
A mixture requires 4 cups of water for every 7 cups of flour used. Use the ratio table to determine how many cups of water shoul
mr Goodwill [35]

Answer:

16 cups of water

Step-by-step explanation:

You find this by  dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water

4 0
3 years ago
2 sin theta – 3 sin theta cos theta=0.425​
bekas [8.4K]
Mark brainliest please


Hope this helps you

6 0
2 years ago
Help - sorry it’s blurry I couldn’t fix it
Natali5045456 [20]
When we choose to do cosine we do adjacent/hypotenuse so it would be...

Cos(32)= x/23

Than solve for x

X= 19.18 o 19.2
4 0
2 years ago
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