I have attached an image explaining how to solve this problem.
(“m” means slope)
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
Answer:
14.858
Step-by-step explanation:
16.058−1.2
=16.058−1.2
=16.058+−1.2
=14.858
d1 = ax + by + c = 0 and d2= mx + ky + f = 0
if they are parallel :
8x + 2y = 7
8x + 2y - 7 = 0
- 8x + 2y -9 = 0
- 4x + y -6 = 0
- 16x + 4y - 19 = 0
you can create more whatever you want =)
Hope this helps ^-^
Answer: £450
Step-by-step explanation:
If they bought 2 tickets, they could get an extra ticket for free. As there are three of them, they would buy 2 tickets, get one for free and then buy another ticket to make it four.
In that case they would have only paid for 3 tickets.
The total cost of 3 tickets is:
= 600 * 3
= £1,800
The 4 of them would therefore have to pay:
= 1,800 / 4
= £450
