180-11=169
its 180 because straight line
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
![y^{2}+8xy+2y+16x=0](https://tex.z-dn.net/?f=y%5E%7B2%7D%2B8xy%2B2y%2B16x%3D0)
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
![(y^{2}+8xy)+(2y+16x)=0](https://tex.z-dn.net/?f=%28y%5E%7B2%7D%2B8xy%29%2B%282y%2B16x%29%3D0)
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
![y(y+8x)+2(y+8x)=0](https://tex.z-dn.net/?f=y%28y%2B8x%29%2B2%28y%2B8x%29%3D0)
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
![(y+2)(y+8x)=0](https://tex.z-dn.net/?f=%28y%2B2%29%28y%2B8x%29%3D0)
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
Since they are multiples if 12
The possibilities are
12, 12, 156
12,24,144
12,36,132
12,48,120
12,60,108
12,72,96
12,84,84
24,24,132
24,36,120
24,48,108
24,60,96
24,72,84
36,36,108
36,48,96
36,60,84
36,72,72
48,48,84
48,60,72
60,60,60
Hence the probability is 1/19 or 0.0526
Okay, here we have this:
Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:
![\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bx%7D%7B35mL%5Ctext%7B%20of%20water%7D%7D%3D%5Cfrac%7B250g%5Ctext%7B%20of%20plaster%7D%7D%7B100g%5Ctext%7B%20of%20plaster%7D%7D%20%5C%5C%20x%3D%5Cfrac%7B250g%5Ctext%7B%20of%20plaster%7D%7D%7B100g%5Ctext%7B%20of%20plaster%7D%7D%5Ccdot35mL%5Ctext%7B%20of%20water%7D%20%5Cend%7Bgathered%7D)
Solving for x:
![\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D2.5%5Ccdot35mL%5Ctext%7B%20of%20water%7D%20%5C%5C%20x%3D87.5mL%5Ctext%7B%20of%20water%7D%20%5Cend%7Bgathered%7D)
Finally we obtain that 87.5mL of water should be used for 250g of plaster.
Answer:
true
Step-by-step explanation: