Answer: the number must be placed in the box is 9
suppose: the number must be placed in the box is x
have:
5u + 3(4u - 6) = -3u -27 + 20u + x
⇔ 5u + 12u - 18 = -3u - 27 + 20u +x
⇔ 17u + 3u - 20u = -27 + 18 + x
⇔ 0 = x - 9
⇔ x = 9
Step-by-step explanation:
Answer:
![A=2\cdot{x^2}+14\cdot{x}+24](https://tex.z-dn.net/?f=A%3D2%5Ccdot%7Bx%5E2%7D%2B14%5Ccdot%7Bx%7D%2B24)
Step-by-step explanation:
We can write down the total size of the wildflower after the third week.
![L=2\cdot{(3+x)](https://tex.z-dn.net/?f=L%3D2%5Ccdot%7B%283%2Bx%29)
![W=2\cdot{(2+0.5\cdot{x})}](https://tex.z-dn.net/?f=W%3D2%5Ccdot%7B%282%2B0.5%5Ccdot%7Bx%7D%29%7D)
The size can be determined assuming it is a rectangle and therefore the area is:
![A=L\cdot{W}](https://tex.z-dn.net/?f=A%3DL%5Ccdot%7BW%7D)
![A=4\cdot{(3+x)\cdot{(2+0.5\cdot{x})}}](https://tex.z-dn.net/?f=A%3D4%5Ccdot%7B%283%2Bx%29%5Ccdot%7B%282%2B0.5%5Ccdot%7Bx%7D%29%7D%7D)
![A=2\cdot{x^2}+14\cdot{x}+24](https://tex.z-dn.net/?f=A%3D2%5Ccdot%7Bx%5E2%7D%2B14%5Ccdot%7Bx%7D%2B24)
Answer:
Let's understand the solution in detail.
Explanation:
Given: 5x = 3y
We can rearrange it as y = 5x / 3
Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.
Here k = 5 / 3.
Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.