X = multiple choice and y = essay
x + y = 20.....x = 20 - y
3x + 11y = 100
3(20 - y) + 11y = 100
60 - 3y + 11y = 100
-3y + 11y = 100 - 60
8y = 40
y = 40/8
y = 5 <=== 5 essay questions
x = 20 - y
x = 20 - 5
x = 15 <== 15 multiply choice
Answer: 6 ≤ h ≤ 9
Step-by-step explanation:
Hi, since He charges $40 as a fixed rate for the first hour plus $20 for each additional hour, the cost of the tutoring service is equal to the fixed rate(40) plus, the product of the additional hours (h-1) and the cost per additional hour (20).
40+20(h-1)
40+20h-20
20+20h
Since a student can spend between $140 and $200, the previous expression must be greater o equal than 140, and less or equal than 200.
140≤20+20h≤200
Subtracting 20
140-20 ≤20-20+20h ≤200-20
120 ≤ 20h ≤ 180
Dividing by 20
120/20 ≤ 20h/20 ≤ 180/20
6 ≤ h ≤ 9
Answer:
y = 1/3x + 14/3
Step-by-step explanation:
y = mx + b
we know the slope, so the equation would be --> y = 1/3x + b
Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:
y = 1/3x + b
6 = 1/3(4) + b
6 = 4/3 + b
-4/3 -4/3
----------------
14/3 = b
Answer:
2n+2
Step-by-step explanation:
Answer:
Concept: Statistical Modeling
- N= 8 trials
- P= 0.25 or 1/4 chance
- You have 8 * 1/4 = 2 correct
