Answer:
(10, 21)
Step-by-step explanation:
To get the point of intersection of the lines given ( it means we need to find at what value of x will correspond to the value of y)
y = 2x+1
y = x+11
insert equation i in equation ii
2x+1=x+11
2x-x = 11-1
x = 10
y = 2x+1 = 2(10)+1 = 20+1 = 21
(x,y) = (10, 21)
Total number of students graduating = 450
68% of 450 are going to college which is = ![\frac{68}{100}\times450](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B100%7D%5Ctimes450)
= 306 students are going to college
14% of 450 plan to start working = ![\frac{14}{100}\times450](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B100%7D%5Ctimes450)
= 63 students will start working
So total students who are going to college and working are =
![306+63=369](https://tex.z-dn.net/?f=306%2B63%3D369)
So, the students do not know what they are going to do yet are =
![450-369=81](https://tex.z-dn.net/?f=450-369%3D81)
Hence, 81 students do not know what they are going to do yet.
Answer:
There are 9 distinct possible values for q.
Step-by-step explanation:
Let ab be a positive two-digit integer.
- a×b=q=7k from some positive integer k.
- either a or b is 7, since 7 is a prime number and k can be maximum 9.
- assume a=7, then b can be 1,2,3,4,5,6,7,8,9
- b cannot be 0 because a×b=q has to be positive
- if b=7, then a can be 1,2,3,4,5,6,7,8,9
- in both cases there are 9 distinct values for q, which are 7,14,21,28,35,42,49,56,63
R=18 is the answer 1/3 x r - 6 = 0 // + 6 answer is r=18