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) 40
2)9x-12
3)42
Step-by-step explanation:
1) A square has 4 sides, and if one side's length is 10, the perimeter (distance around the square) is 10 times 4=40
2) Simply add these values together to get 9x-12
3) Plug in 6 as x in 9x-12. (6*9)-12=54-12=42
Answer:
You have to find 3.25% of 205, 000 and then multiply it by 10. Then, you must add that answer to the 205,000. That will be the correct answer.
The dimensions of the bottom of the drawer are:
20 cm × 40 cm
So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:
r²
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
(10)²
100
314.16 cm²
2 plates in the bottom drawer
Area of two plates:
2 × 314.16
628.32 cm²
Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²