Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
Answer:
c,d,e
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 10 ×
=
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 10² ×
=
=
cm² → D
Answer:
B.
Step-by-step explanation:
Domain is the x-coordinate and the range is the y-coordinate.
B. Domain: {7}
Range: {-4, -2, 1, 4, 6}
I think it’s 22.... I just plugged five into the equation