It is 1.04 because that is the right awnser
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.
Step-by-step explanation:
By cross multiplication,
→ 83(5) = 4x(7)
→ 415 = 28x
<h3>→ 415/28 = x</h3>
An Step-by-step explanation: There are 56 stamps in total, and Amber used 26. So, she used 26/56. We need know which fraction has now. so she have 30/56 (becauase 56-26= 30). And by simplify, she have now 15/28 (if you simplify by 2)
Answer:the width of the walkway is 5 feet
Step-by-step explanation:
Let x represent the width of the walkway.
The pool measures 10 ft by 20. If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway would be 10 + x + x = 10 + 2x
The total width of the pool and the walkway would be 20 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 600 square feet. This means that
(10 + 2x)(20 + 2x) = 600
200 + 20x + 40x + 4x^2 = 600
4x^2 + 60x + 200 - 600 = 0
4x^2 + 60x - 400 = 0
Dividing through by 4, it becomes
x^2 + 15x - 100 = 0
x^2 + 20x - 5x - 100 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
The width cannot be negative. Therefore, the width of the walkway is 5 feet