Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
![90=2\cdot 45=2\cdot 3\cdot 15=2\cdot 3\cdot 3\cdot 5\\ \\75=3\cdot 25=3\cdot 5\cdot 5](https://tex.z-dn.net/?f=90%3D2%5Ccdot%2045%3D2%5Ccdot%203%5Ccdot%2015%3D2%5Ccdot%203%5Ccdot%203%5Ccdot%205%5C%5C%20%5C%5C75%3D3%5Ccdot%2025%3D3%5Ccdot%205%5Ccdot%205)
Find GCF(90,75):
![GCF(90,75)=3\cdot 5=15](https://tex.z-dn.net/?f=GCF%2890%2C75%29%3D3%5Ccdot%205%3D15)
Now,
![90=15\cdot 6\\ \\75=15\cdot 5](https://tex.z-dn.net/?f=90%3D15%5Ccdot%206%5C%5C%20%5C%5C75%3D15%5Ccdot%205)
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Answer:
your answer should be 30/8
Step-by-step explanation:
Answer:
a i do believe good luck with the answer
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
<em>To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.</em>
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3