Answer:
B, D
Step-by-step explanation:
Supplementary Angles: Add up to 180 degrees
Angle abe and Angle Ebc add up to 180 degrees
Angle ABD and Angle DBC add up to 180 degrees
So we solve for each
70% of 100=70
students who didn't buy lunch=100-70=30
some of the 70 left so that the students who bought lunch, are 60% of those who are left
we know that the students who didn't buy lunch didn't change number so therefor
100% of students left-60%=40%= students that didn't buy lunch=30 so
40%=30
20%=15
100%=75
there were 75 students lfet in the cafeteria
well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.
![\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B5em%7D%5Cstackrel%7B%5Ctextit%7B10%5C%25%20of%205000%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B10%7D%7B100%7D%20%5Cright%295000%7D%5Cimplies%20500)
Answer: 3/4
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 3/4
HOPE THIS HELPS :)
Answer:
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Given
Age 11 Age 12 Total
Girls 3 5 8
Boys 1 3 4
Required
![P(Age\ 12)](https://tex.z-dn.net/?f=P%28Age%5C%2012%29)
The number of aged 12 children is:
![Age\ 12 = 5 + 3](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%205%20%2B%203)
![Age\ 12 = 8](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%208)
The total number of children is:
![Total=8+4](https://tex.z-dn.net/?f=Total%3D8%2B4)
So, we have:
![P(Age\ 12) = \frac{Age\ 12}{Total}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7BAge%5C%2012%7D%7BTotal%7D)
![P(Age\ 12) = \frac{8}{12}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B8%7D%7B12%7D)
Simplify
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)