The integers divisible by any set of positive
integers are the multiples of their LCM
let us first write the factored form of each
10 = 2×5
12 = 2×2×3
16 = 2×2×2×2
18 = 2 x3×3
Now we will find lcm of these numbers
LCM = 2×2×2×2×3×3×5 = 720
The multiples of 720 are divisible by 10,12,16 and 18.
2000/720 = 2.777777...
The least integer greater than that is 3, so 3×720 = 2160 is
the least integer greater than 2000 that is divisible by
10,12,16 and 18.
so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160
2160-2000=160
so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18
If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
Answer:
Number of students = 441 Students
Step-by-step explanation:
Given:
Percent of women = 40%
Percent of women = 35.5%
Total number of people = 1,800
Find:
Number of students
Computation:
Percent of student = 100% - 35.5% - 40%
Percent of student = 24.5%
Number of students = 1,800 x Percent of student
Number of students = 1,800 x 24.5%
Number of students = 441 Students
Answer:
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Answer:
$.30 per ounce
Step-by-step explanation:
Take the price and divide by the number of ounces to get the cost per ounce
4.82/16
$.30125 per ounce
Rounding to the nearest cent
$.30 per ounce
