Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
Alright! First you'd have to subtract the flat fee of the mug which is $8.95, then you'd have to divide by the rate which is $1.50. Your equation would be:
(26.95 - 8.95) ÷ 1.50 = r
Then you solve using your head.. lol.
(26.95 - 8.95) = 18.
(18 ÷ 1.50) = 12.
R = 12.
Hope this helps :).
Step-by-step explanation:
Area of parking lot
