The number of students that play hockey is 7
The proportion is given as:



The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:

Multiply

Hence, 7 students play hockey
Read more about common multiples at:
brainly.com/question/290451
12 *16 = 192
1/2 *20*10 = 100
192 +100 = 292 square units
let's firstly convert the mixed fraction to improper fraction, and then divide it by 4 to see what our quotient is.
![\bf \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div 4\implies \cfrac{9}{4}\div \cfrac{4}{1}\implies \cfrac{9}{4}\cdot \cfrac{1}{4}\implies \cfrac{9}{16}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B9%7D%7B4%7D%5Cdiv%204%5Cimplies%20%5Ccfrac%7B9%7D%7B4%7D%5Cdiv%20%5Ccfrac%7B4%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B4%7D%5Ccdot%20%5Ccfrac%7B1%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B16%7D)
Answer:
7
Step-by-step explanation: