Answer:
15students per 1 teacher
9 student per 1 tutor.
8 tutors for 72 students
Step-by-step explanation:
From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students
✓ 4 teachers for every 60 students
4teacher =60students
Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.
✓3 tutors for every 27 students,
3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.
How many students does the academy have
per teacher?
15students per 1 teacher
Per tutor?
9 student per 1 tutor.
How many tutors does the academy need if it has 72 students?
Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,
9 student = 1 tutor.
72 students= X tutor
If we cross multiply we have
72=9X
X=8 tutors
Therefore, we need 8 tutors for 72 students
Answer: 100
Step-by-step explanation:
Do X+60+5x=180 then that will get you 20 Then do 5*20 and that will get you 100
Answer:
(1, -9)
Step-by-step explanation:
4x + y = -5
8x + 3y = -19
If we have to use elimination, that means we're going to add or subtract these two whole equations by each other so that we can cancel out one of the variables.
I think that we could easily turn 4x into 8x if we multiply the top equation by 2.
4x + y = -5 ---> 8x + 2y = -10
Now put them next to each other, and subtract to get rid of the xs.
8x + 2y = -10
- 8x + 3y = -19
------------------------
0x - y = -10 - -19
-y = 9
y = -9
Plug this back in to get x.
4x + y = -5
4x - 9 = -5
4x = -5 - -9
4x = 4
x = 1
I would start by breaking apart the 275 into 200, 70, and 5. Then I
would multiply 4 by each of those numbers, giving you 800, 280, and 20.
Then, I would add those number back together (800+280+20) and that gives
you a final answer of 1,100.
The expression that can be used would be...
4(200)+4(70)+4(5)
First you have to simply distribute the + through the parentheses
16+f+4
Then you combine like terms (in this case the 16 and the 4)
f+20
16+(f+4) simplified is f+20
Hope this helps!!
