The Answer is B because the volume is 7*5*14, divide that by 5, 1 fifth = 98, this means 98 times 2 is the volume of white.
Answer:
x^2+4x-32=0
(mid-term breaking---4 x 8=32)
x^2+8x-4x-32=0
x(x+8)-4(x+8)
x+8=0 or x-4=0
So x=+4 or x=-8
Step-by-step explanation:
Given
Given
![\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20points%20%5C%5C%20%280%2C0%29%5Ctext%7B%20and%20%7D%2815%2C3%29%20%5Cend%7Bgathered%7D)
SolutionStep 1Find slope
![Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%5Ctext%7B%20%5Clparen%20M%5Crparen%3D%7D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%3D0%20%5C%5C%20y_1%3D0%20%5C%5C%20x_2%3D15%20%5C%5C%20y_2%3D3%20%5Cend%7Bgathered%7D)
Substitute the given points into the slope formula
![Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}](https://tex.z-dn.net/?f=Slope%28m%29%3D%5Cfrac%7B3-0%7D%7B15-0%7D%3D%5Cfrac%7B3%7D%7B15%7D%3D%5Cfrac%7B1%7D%7B5%7D)
step 2Equation of a line
![\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20m%3D%5Cfrac%7B1%7D%7B5%7D%20%5C%5C%20x%3D0%20%5C%5C%20y%3D0%20%5C%5C%20%20%5Cend%7Bgathered%7D)
![\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%200%3D0%28%5Cfrac%7B1%7D%7B3%7D%29%2Bb%20%5C%5C%20b%3D0%20%5Cend%7Bgathered%7D)
Step 3
![y=\frac{1}{5}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7Dx)
The final answerOption B
let the goldfish be x and the guppies be y
4x + 3y = 29...equ(1)
3x + 5y = 30...equ(2)
multiplying equation 1 by 5 and equation 2 by 3
20x + 15y = 145...equ(1)
9x + 15y = 90...equ(2)
subtracting equation 2 from 1
11x = 55
∴x = 5
substituting the value of x into equation
4(5) + 3y = 29
20 + 3y = 29
3y = 9
∴y =3