Answer:
$54
Step-by-step explanation:
50 * $1.20 = $60
Before the discount, 50 jars cost $60.
Since the discount rate is 10%, he will pay only 90% of the price since 100% - 10% = 90%.
90% of $60 =
= 90% * $60
= 0.9 * $60
= $54
X^3+2x^3-4x
I use
m a t h w a y for stuff like this
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.
∴N(c₁) =
N(c₂) =
∴N(c₁c₂) =
∴ Number of positive integers that are not divisible by 4 or 6,
N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d =
=
=
= ← exact distance
Answer: B, angle 1 and angle 7.
Step-by-step explanation: Of all the options provided, B is the only one where the the two angles are not congruent to each other. Also, same side interior angles are congruent, so...