Answer:
The first option is the correct answer
Step-by-step explanation:
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>
44 cm
Explanation: scale is 3 cm: 22cm if the drawing is two times that which would be 6 it means you would have to times 22cm by 2 22x2=44
Answer:
(-7/8)
Step-by-step explanation:
the line is -7x -8y =12
its slope = -(-7/-8)= -7/8
it passes through P(-3, 1)
(y-1)=(-7/8)(x+3)
y-1 = (-7/8)x - 21/8
y = (-7/8)x -13/8
Answer:
$1200.
Step-by-step explanation:
We have been given that Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.
Let us find number of subscriber that will pay this month Kiersten for her online business.
Last month, the website had 100 subscribers. This month, 30 new members joined the website, and 10 members cancelled their subscription, therefore, number of subscriber this month will be
subscribers.
To find amount that Kiersten will receive from online business we will multiply 10 by 120.

Therefore, Kiersten will earn $1200 from online business this month.