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>
The question is asking for the amount of minutes Grant can possibly use in a month. So to <span>algebraically express this, the equation, </span>0.10 m+5=$ sums it up.
Answer:
(-5,-14)
Step-by-step explanation:
To find the solution of the system of two equations
equate right sides of these two equations:
Rewrite terms with x into the left side and without x into the right side:
![4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5](https://tex.z-dn.net/?f=4x-2x%3D-4-6%5C%5C%20%5C%5C2x%3D-10%5C%20%5B%5Ctext%7Bdivide%20by%202%7D%5D%5C%5C%20%5C%5Cx%3D-5)
Substitute x=-5 into the first equation:
The solution is (-5,-14)
Answer:b
Step-by-step explanation:
(×+1)(×-1)
---------------
(×+1)(×+7)
=cancel (×+1) both the numerator and denominator then you are left with
(×-1)
-------
(×+7)
=(×-1)/(×+7)
Answer:
17/3, 5.7, 5.83, √35.
Step-by-step explanation:
√35, 5.7, 17/3, 5.83
√35 = 5.916
5.7 = 5.700
17/3 = 5.667
5.83 = 5.830.
So the answer is 17/3, 5.7, 5.83, √35.
