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:
1. -6t - 18
2. 21n - 14
3. -28 + 7t
4. 5m - 30
5. -48 + 8c
6. -15y -24
Step-by-step explanation:
Hope this helps!!!
Answer:
120
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
2t+t+2t+t = 360
6t = 360
Divide by 6
6t/6 = 360/6
t = 60
Angle Z = 2t
Angle Z = 2*60 = 120
Answer:
x= 6, -7
Step-by-step explanation:
<span>Simplifying
4(y + -3) = 6(y + 2)
Reorder the terms:
4(-3 + y) = 6(y + 2)
(-3 * 4 + y * 4) = 6(y + 2)
(-12 + 4y) = 6(y + 2)
Reorder the terms:
-12 + 4y = 6(2 + y)
-12 + 4y = (2 * 6 + y * 6)
-12 + 4y = (12 + 6y)
Solving
-12 + 4y = 12 + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-12 + 4y + -6y = 12 + 6y + -6y
Combine like terms: 4y + -6y = -2y
-12 + -2y = 12 + 6y + -6y
Combine like terms: 6y + -6y = 0
-12 + -2y = 12 + 0
-12 + -2y = 12
Add '12' to each side of the equation.
-12 + 12 + -2y = 12 + 12
Combine like terms: -12 + 12 = 0
0 + -2y = 12 + 12
-2y = 12 + 12
Combine like terms: 12 + 12 = 24
-2y = 24
Divide each side by '-2'.
y = -12
Simplifying
y = -12</span>