Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:

b) For the point-slope equation, I'll use (9,8)
Using the formula:

c) For the slope-intercept form, we solve for y in the point-slope formula:
Answer:
1. -370
2. 70
3. 10.75
4. 6700
5. 37.26
Step-by-step explanation:
1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.
2. Same thing as #1
3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.
4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.
5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73
Hope this helped, good luck!
Answer: 5/12
Step-by-step explanation:
Step 1
Whenever you have something OF something, you just mulltiply.
1/3 of 5/8=
1/3x5/8
5/24
She used 5/24, and started with 5/8
5/8-5/24= 5/12 left
The answer is 2,500
32,000 - 24,500 /3
Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67