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solniwko [45]
3 years ago
13

Samantha has $300 for guitar lessons to learn her favorite song mr. Jones charges $800 per lesson and requires three lessons to

teach Samantha and the song. Mr police charges $62 per lesson and and will require four lessons to teach Samantha the song. Use integers to represent which teacher
each charges. Which is better deal for Samantha ​
Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

Mr.Jones charges $800 per lesson and requires 3 lessons

That means mr Jones will charge Samantha 800x3 = $2400 in total.

Mr. Police charges $62 per lesson and requires 4 lessons,

62x4 = $248 in total.

Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.

IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON

In that case it would be 80x3 = $240 in total

mr jones would charge less now and it would be better deal for Samantha.

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Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
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) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ 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
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4 years ago
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Step-by-step explanation:

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