Answer:
x=280
Step-by-step explanation:
We have, 15% × x = 42
or,
15
100
× x = 42
Multiplying both sides by 100 and dividing both sides by 15,
we have x = 42 ×
100
15
x = 280
If you are using a calculator, simply enter 42×100÷15, which will give you the answer.
Answer:
(x - 9)(x + 4)
Step-by-step explanation:
x^2−5x−36
As you know, -36 = -9 * 4 and (-9) + 4 = -5
so Factor
= (x - 9)(x + 4)
QUESTION A
The total number of bottles Ella collected is
![50](https://tex.z-dn.net/?f=50)
The number of bottles that are plastic is
![19](https://tex.z-dn.net/?f=19)
The percentage of bottles that are plastic is
![= \frac{number \: of \: plastic \: bottles}{total \: number \: of \: bottes} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bnumber%20%5C%3A%20of%20%5C%3A%20plastic%20%5C%3A%20bottles%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20bottes%7D%20%20%5Ctimes%20100%5C%25)
![= \frac{19}{50} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B19%7D%7B50%7D%20%20%5Ctimes%20100%5C%25)
![= 19 \times 2\%](https://tex.z-dn.net/?f=%20%3D%2019%20%5Ctimes%202%5C%25)
![= 38\%](https://tex.z-dn.net/?f=%20%3D%2038%5C%25)
Therefore 38% of the bottles are plastic.
QUESTION B
The total number of bottles that are glass is
![50 - 19 = 31](https://tex.z-dn.net/?f=50%20-%2019%20%3D%2031)
The total number of bottles Ella collected is
![50](https://tex.z-dn.net/?f=50)
The percentage of bottles that is glass is
![= \frac{number \: of \: glass \: bottles}{total \: number \: of \: bottles} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bnumber%20%5C%3A%20of%20%5C%3A%20glass%20%5C%3A%20bottles%7D%7Btotal%20%5C%3A%20number%20%5C%3A%20of%20%5C%3A%20bottles%7D%20%20%5Ctimes%20100%5C%25)
![= \frac{31}{50} \times 100\%](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B31%7D%7B50%7D%20%20%5Ctimes%20100%5C%25)
![= 31 \times 2\%](https://tex.z-dn.net/?f=%20%3D%2031%20%5Ctimes%202%5C%25)
![= 62\%](https://tex.z-dn.net/?f=%20%3D%2062%5C%25)
Therefore 62% of the bottles are glass
Answer:
![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
y = x .....(1)
.... (2)
By solving equation (1) and equation (2)
![x = \sqrt{x}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7Bx%7D)
![\sqrt{x}\left ( \sqrt{x}-1 \right )=0](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%5Cleft%20%28%20%5Csqrt%7Bx%7D-1%20%5Cright%20%29%3D0)
or ![\left ( \sqrt{x}-1 \right )=0](https://tex.z-dn.net/?f=%5Cleft%20%28%20%5Csqrt%7Bx%7D-1%20%5Cright%20%29%3D0)
x = 0, x = 1
y = 0, y = 1
A = ![\int_{0}^{1}ydx(curve)-\int_{0}^{1}ydx(line)](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B1%7Dydx%28curve%29-%5Cint_%7B0%7D%5E%7B1%7Dydx%28line%29)
A = ![\int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}xdx](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7B1%7D%5Csqrt%7Bx%7Ddx-%5Cint_%7B0%7D%5E%7B1%7Dxdx)
A = ![\frac{2}{3}[x^\frac{3}{2}]_{0}^{1}-\frac{1}{2}[x^2]_{0}^{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Bx%5E%5Cfrac%7B3%7D%7B2%7D%5D_%7B0%7D%5E%7B1%7D-%5Cfrac%7B1%7D%7B2%7D%5Bx%5E2%5D_%7B0%7D%5E%7B1%7D)
A = ![\frac{2}{3}-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D)
A = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)