Answer:
B
Step-by-step explanation:
B and D are the only ones with the same slope (-3x) which is required for the line to be parallel.
and if you graph it out, you will find that B is the correct answer because it passes through (2,-4).
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Use Sin in SOH - CAH - TOA
Hope it help!!
X intercepts are where the y value is 0. So, set y=0 and solve
0=x^2-9x+18
0=(x-6)(x-3)
x=6,3
The x intercepts are (6,0) and (3,0)
if you want to check, try these (x, y) pairs in the original equation.
9514 1404 393
Answer:
- 267/200 = 1.335
- 131/150 = 0.8733...
- 1/10,000 = 0.0001
- 1/12 = 0.0833...
Step-by-step explanation:
It might be helpful to think of the % symbol as being interchangeable with /100.
133 1/2% = (133 1/2)/100 = 267/200 = 1.335
87 1/3% = (87 1/3)/100 = 262/300 = 131/150 = 0.8733333... (repeating 3)
0.01% = 0.01/100 = 1/10000 = 0.0001
8 1/3% = (8 1/3)/100 = 25/300 = 1/12 = 0.0833333... (repeating 3)
