When dealing with fractions, take the whole as 1.
in this case, the whole class is 1;
fraction of votes for Andrew: 1-1/2 -1/4 - 1/5
these fractions have different denominators (bottom), to continue, you have to make the denominators the same;
to do that, I usually count by the largest one. In this case, it is a 5. 5 is not divisible by 2 or 4, so I move on to 10. 10 is still not divisible by 2 and 4, so try 15, then 20.
20 works, so make all the denominators to 20. Remember 1 is 20/20:
20/20- 10/20 -5/20 -4/20 =1/20
so the fraction of votes Andrew got was 1/20.
For answer b, the whole is no longer 1. the whole is now 100.
1/2 of 100=50 for Amy
1/4 of 100=25 for Sophie
1/5 of 100=20 for Ryan
1/20 of 100=5 for Andrew
Notice the numbers add up to be exactly 100
Answer:
![x^2+18=-9x : x = -3, x = -6](https://tex.z-dn.net/?f=x%5E2%2B18%3D-9x%20%3A%20x%20%3D%20-3%2C%20x%20%3D%20-6)
Step-by-step explanation:
![x^2+18=-9x](https://tex.z-dn.net/?f=x%5E2%2B18%3D-9x)
Add 9x to both sides:
![x^2+18+9x=-9x+9x](https://tex.z-dn.net/?f=x%5E2%2B18%2B9x%3D-9x%2B9x)
Simplify:
![x^2+9x+18=0](https://tex.z-dn.net/?f=x%5E2%2B9x%2B18%3D0)
Solve with the quadratic formula:
For a quadratic equation of the form
the solutions are:
![x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
For ![a=1,\:b=9,\:c=18:\quad x_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}](https://tex.z-dn.net/?f=a%3D1%2C%5C%3Ab%3D9%2C%5C%3Ac%3D18%3A%5Cquad%20x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-9%5Cpm%20%5Csqrt%7B9%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A18%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x =\frac{-9 + \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1} : -3](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-9%20%2B%20%5Csqrt%7B9%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A18%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%20%3A%20-3)
![x =\frac{-9 - \sqrt{9^2-4\cdot \:1\cdot \:18}}{2\cdot \:1} : -6](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-9%20-%20%5Csqrt%7B9%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A18%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%20%3A%20-6)
The solution to the quadratic equation are:
![x=-3,\:x=-6](https://tex.z-dn.net/?f=x%3D-3%2C%5C%3Ax%3D-6)
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day!
Answer: the answer is 9/16
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
The two angles are equal
Step by step solution :Step 1 : 103
Simplify ———
7 <span>Equation at the end of step 1 :</span> 92 103
(0 - ——) - (0 - ———)
7 7
<span>Step 2 :</span> 92
Simplify ——
7
<span>Equation at the end of step 2 :</span> 92 -103
(0 - ——) - ————
7 7
<span>Step 3 :</span>Adding fractions which have a common denominator :
<span> 3.1 </span> Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-92 - (-103) 11
———————————— = ——
7 7
Final result :<span> 11
—— = 1.57143 </span><span>
</span>