Add the -8 to the other side making it positive, so it would be y/3=9 then multiply both sides by 3 to get y=27
y/3-8=1
y/3-8+8=1+8
y/3=9
y/3 x 3= 9x3
y=27
If you mean 45,000 the answer would be
31,500 for the population in 15 years
2:6 is equal to 8:24. So 8:24 is your answer!
Answer:
Boys = 150
Girls = 315
Total Boys and Girls 465
Step-by-step explanation:
We call x the number of boys and we call y the number of girls.
So we have to find the total number of children
We know that
![\frac{2}{7}y = \frac{3}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7Dx)
![x =y-165](https://tex.z-dn.net/?f=x%20%3Dy-165)
Now we substitute the second equation in the first and solve for y.
![\frac{2}{7}y = \frac{3}{5}(y-165)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7D%28y-165%29)
![\frac{2}{7}y = \frac{3}{5}y-99\\\\99 = \frac{3}{5}y-\frac{2}{7}y\\\\\frac{11}{35}y=99\\\\y = 315\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7Dy%20%3D%20%5Cfrac%7B3%7D%7B5%7Dy-99%5C%5C%5C%5C99%20%3D%20%5Cfrac%7B3%7D%7B5%7Dy-%5Cfrac%7B2%7D%7B7%7Dy%5C%5C%5C%5C%5Cfrac%7B11%7D%7B35%7Dy%3D99%5C%5C%5C%5Cy%20%3D%20315%5C%5C)
Now we find x.
![x = 315-165 = 150\\\\x = 150](https://tex.z-dn.net/?f=x%20%3D%20315-165%20%3D%20150%5C%5C%5C%5Cx%20%3D%20150)
Finally we have that:
Boys = 150
Girls = 315
Total Boys and Girls 465
Answer:
Last Graph (4th one)
Step-by-step explanation:
The equation given is ![A(x)=400*b^x + 0\\A(x) = 400b^x](https://tex.z-dn.net/?f=A%28x%29%3D400%2Ab%5Ex%20%2B%200%5C%5CA%28x%29%20%3D%20400b%5Ex)
Since we want increase of 25%, the value of b would be 1.25, so we have:
![A(x)=400(1.25)^x](https://tex.z-dn.net/?f=A%28x%29%3D400%281.25%29%5Ex)
The graph should be increasing so we can immediately eliminate 2nd and 3rd graphs since they are clearly decreasing. We now have to choose between 1st graph and 4th graph.
<u>1st graph:</u>
Let's take the point (-20,30)
![A(x)=400(1.25)^{-20}\\A(x)=4.65](https://tex.z-dn.net/?f=A%28x%29%3D400%281.25%29%5E%7B-20%7D%5C%5CA%28x%29%3D4.65)
<u>2nd graph:</u>
Let's take the point (-20,4.5)
![A(x)=400(1.25)^{-20}\\A(x)=4.65](https://tex.z-dn.net/?f=A%28x%29%3D400%281.25%29%5E%7B-20%7D%5C%5CA%28x%29%3D4.65)
hence, this makes sense. So the correct graph is 4th one.