Answer:
420
Step-by-step explanation:
We can find the prime factors of each of the numbers first before finding their LCM.
12: <em>2</em> × 2 × <u>3</u>
30: <em>2</em> × <u>3</u> × 5
42: <em>2</em> × <u>3</u> × 7
To find the LCM, we need to see if they are any common prime factors between all three numbers. The common prime factors are <em>2</em> and <u>3</u>. Then, we multiply 2 and 3 with the remaining outstanding factors, which are 2, 5, and 7.
LCM: <em>2</em> × 2 × <u>3</u> × 5 × 7 = 420
We want to see which could be the possible score of Kath for the given information. We will find the inequality:
K ≤ 33
<h3>
Stating what we know:</h3>
The given information is:
- The sum of the scores is not greater than 55 points
- Ella's score is 22 points.
<h3>Writing the inequality:</h3>
First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:
K + 22 ≤ 55
This means that the sum of the points is smaller than or equal to 55.
Now we just need to solve this for K, to do this, we subtract 22 in both sides:
K ≤ 55 - 22
K ≤ 33
From this, we can conclude that Kath has at most 33 points.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
The answer is 6 inches, 3*3*3 equals 27, the current volume of the cube, 27*8 equals 216, the new volume, 6*6*6 equals 216, so the side lengths equal 6 inches.
500 dots: this is because 1 minute is 5 dots. So, 5×100=500!
in order to know the greatest common multiple of 84 you would have to compare it to another number
