Answer:
x = 8
Step-by-step explanation:
well using the theorem we have
![\frac{6}{9}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\\\12[\frac{2}{3}]=12[\frac{x}{12}]\\\\4\cdot 2=x\\\\x=8](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B9%7D%3D%5Cfrac%7Bx%7D%7B12%7D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B12%7D%5C%5C%5C%5C12%5B%5Cfrac%7B2%7D%7B3%7D%5D%3D12%5B%5Cfrac%7Bx%7D%7B12%7D%5D%5C%5C%5C%5C4%5Ccdot%202%3Dx%5C%5C%5C%5Cx%3D8)
Answer:
The diameter of Circle P is the same length as the radius of Circle Q.
Step-by-step explanation:
The radius of Circle Q is half of 52cm. So you would divide 52 by 2 and get 26cm as the radius of Circle Q. Therefore, the length of the diameter of Circle P is the same length as the radius of Circle Q.
10t = b - 4
12b+8t = $348
This is a system of equations. I’ll be solving through substitution.
In the first equation. solving for b (the easier variable to isolate) gives you:
b = 10t + 4
Substitute this into the second equation:
12(10t+4) +8t = 348
120t+48+8t = 348
128t = 300
t = 2.34375 —> round it to the nearest cent to get 2.34 dollars
b = 10t+4
b = 10(2.34)+4
b = 27.4 dollars
Total number of marbles in the bag =20
Number of blue marbles =4
Now we just want two blue marbles out of four.
Probability of taking out first marble which is blue =4/20
Now after we took out one blue marble , number of blue marbles left are 3.
Probability of taking out second marble which is blue =3/20
Total probability = 4/20 *3/20 = 12/400
So probability of taking out two blue marbles is 0.03 or 12/400.
