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>
Since we know what he earns hourly, and his sales, we can figure out his full gross pay for the week.
As so:
We can set up an equation like this:
<em>h</em> = hours
<em>s</em> = sales
9.60h + 5%s
Now, we substitute.
9.60(35) + 5%(230)
Next, solve.
336.00 + 11.50
$347.50
$347.50 was Glen's gross pay for the week.
Hope I could help! If my math is wrong, or I did not provide the answer you were looking for, let me know! However, if I did well, please consider marking as <em>Brainliest!
</em>Have a good one!
Answer:
6 bottles of juice
Step-by-step explanation:
1. find the total amount of juice needed (number of students multiplied by the amount of juice): 48*8 = 384
2. find the number of bottles needed (total amount of juice divided by amount in each bottle): 384/64 = 6
P/-3+(-8)=-8
p/-3-8=-8
Add 8 to each side
p/-3-8+8=-8+8
p/-3=0
Multiply both side by 3
p/-3(3)=0(3)
p=0
Check:
p/-3+(-8)=-8
Substitute p with 0
0/-3+(-8)=-8
0-8=-8
-8=-8. As a result, p=0. Hope it help!
