I suspect you meant
"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"
• Count the multiples of 10:
⌊100/10⌋ = ⌊10⌋ = 10
• Count the multiples of 7:
⌊100/7⌋ ≈ ⌊14.2857⌋ = 14
• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and
⌊100/70⌋ ≈ ⌊1.42857⌋ = 1
(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)
Then using the inclusion/exclusion principle, there are
10 + 14 - 1 = 23
numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.
The sum is .
Solution:
Given equation:
Using algebraic expression:
To make the denominator same, multiply and divide the first term by (x –3)
Cancel the common factors.
; but x ≠ –3
If you substitute x = –3, the value is indeterminate.
Hence the sum is .
Answer:
a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get , which after cross multiplying yields . PM me if you have any questions?
Answer:
$29.67
Step-by-step explanation:
first you would fin out how much the total would be with the sales tax( which is equal to $4.89) added to the initial cost which should add up to $77.39
the 15% tip would add $11.61 to the $77.39
divide 89 by 3 which should give you 29.67
Answer:
Step-by-step explanation:
you need to find the ratio from hours, to hoses