The price the school district pays for each typewriter is $106.56.
<h3>What is the price for each typewriter?</h3>
A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.
Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50
Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50
= $5,327.95
Purchase price of one typewriter = $5,327.95 / 50 = $106.56
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Answer:
21
Step-by-step explanation:
- AC = 64
- AB = 7x + 8
- BC = 3x + 6
<u>Since AC = AB + BC</u>
- 7x + 8 + 3x + 6 = 64
- 10x + 14 = 64
- 10x = 50
- x = 50/10
- x = 5
------------------
BC = 3x + 6 = 3*5 + 6 = 21
The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
<h3>
Simplification</h3>
Question 1: a³ - 1000b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 1000 is the cube of 10
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(a - 10b) × (a² + 10ab + 100b²)
Question 2: 64a³ - 125b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 64 is the cube of 4
- 125 is the cube of 5
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(4a - 5b) • (16a² + 20ab + 25b²)
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Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)
m =
=
=
= 2