Determine the number greater than 19 and less than 34 that is divisible by 6 and 10.(1 point)%0D%0AResponses%0D%0A%0D%0A24%0D%0A24%0D%0A%0D%0A20%0D%0A20%0D%0A%0D%0A60%0D%0A60%0D%0A%0D%0A30
The number that is greater than 19 and less than 34, divisible by both 6 and 10 is 30.
To determine the number that is greater than 19 and less than 34, and is divisible by both 6 and 10, we can use the method of finding the least common multiple (LCM) of 6 and 10.
Step 1: Find the multiples of 6: 6, 12, 18, 24, 30, 36, ...
Step 2: Find the multiples of 10: 10, 20, 30, 40, 50, 60, ...
Step 3: Find the common multiples of 6 and 10: 30, 60, ...
From the above list, we can see that the number that satisfies all the given conditions is 30. Therefore, the answer is 30.
To determine a number that is greater than 19 and less than 34, and divisible by 6 and 10, we can follow these steps:
Step 1: Find the divisible numbers between 19 and 34 by 6.
19 ÷ 6 = 3 remainder 1
20 ÷ 6 = 3 remainder 2
21 ÷ 6 = 3 remainder 3
22 ÷ 6 = 3 remainder 4
23 ÷ 6 = 3 remainder 5
24 ÷ 6 = 4 remainder 0
25 ÷ 6 = 4 remainder 1
26 ÷ 6 = 4 remainder 2
27 ÷ 6 = 4 remainder 3
28 ÷ 6 = 4 remainder 4
29 ÷ 6 = 4 remainder 5
30 ÷ 6 = 5 remainder 0
31 ÷ 6 = 5 remainder 1
32 ÷ 6 = 5 remainder 2
33 ÷ 6 = 5 remainder 3
Step 2: Among the divisible numbers, find the one that is also divisible by 10.
From the above list, we find that the number 30 is divisible by 6 and 10.
Therefore, the number that is greater than 19 and less than 34, divisible by both 6 and 10, is 30.