Answer: 120% is 1.2 in decimal form.
215% 2.15
345% 345
450% 4.50
51% 0.51
63% 0.63
75% 0.75
86$ 0.86
Step-by-step explanation:
12x=104-8
12x=96
96 divide 12
X=8
The billboard is 73 ft talk
Answer:
![e=0.66](https://tex.z-dn.net/?f=e%3D0.66)
Step-by-step explanation:
The eccentricity of an ellipse is given by: ![e=\sqrt{1-\frac{b^2}{a^2} }](https://tex.z-dn.net/?f=e%3D%5Csqrt%7B1-%5Cfrac%7Bb%5E2%7D%7Ba%5E2%7D%20%7D)
The given ellipse has equation: ![9x^2+16y^2-72x+64y-368=0](https://tex.z-dn.net/?f=9x%5E2%2B16y%5E2-72x%2B64y-368%3D0)
We can rewrite this equation in standard form to obtain:
![\frac{(x-4)^2}{8^2}+\frac{y+2}{6^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-4%29%5E2%7D%7B8%5E2%7D%2B%5Cfrac%7By%2B2%7D%7B6%5E2%7D%3D1)
We compare to the general standard form equation: ![\frac{(x-h)^2}{a^2}+\frac{y-k}{b^2}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%2B%5Cfrac%7By-k%7D%7Bb%5E2%7D%3D1)
to get: ![a=8,b=6](https://tex.z-dn.net/?f=a%3D8%2Cb%3D6)
We substitute into the eccentricity formula to get:
![e=\sqrt{1-\frac{6^2}{8^2} }](https://tex.z-dn.net/?f=e%3D%5Csqrt%7B1-%5Cfrac%7B6%5E2%7D%7B8%5E2%7D%20%7D)
![e=\frac{\sqrt{7}}{4}=0.661438](https://tex.z-dn.net/?f=e%3D%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%3D0.661438)
The eccentricity is 0.66 to the nearest hundredth
Answer:
The Answer is: The first number is 15 and the second one is 7.
Step-by-step explanation:
Let f = first number and s = second number
The difference between the two is 8:
f - s = 8
f = 8 + s
Twice the first number plus three times the second number is 51:
2f + 3s = 51
Substitute:
2(8 + s) + 3s = 51
16 + 2s + 3s = 51
16 + 5s = 51
5s = 51 - 16
5s = 35
s = 7, the second number
Find f:
f = 8 + 7 = 15, the first number
Proof:
f - s = 8
15 - 7 = 8
8 = 8
Hope this helps! Have an Awesome Day!! :-)