8+3*x=2^2+x^2 By plugging in one of the answers listed (A.B.C.and D.) you can figure out the solution I'll be plugging in all of them one at a time (if that makes sense) A) 8 + 3* 5 = 2^2+5^2 (see how I replaced x with answer, which is 5) I'm following PEMDAS rule (There are no parentheses so I'll move on to exponents) 8+3*5=2^2+5^2 (2 * 2 is 4 and 5 *5 is 25, the ^ sign means you are squaring the number, which in this case is 2 and 5 8+3*5=4+25 Then use M in PEMDAS (multiplying 3 and 5=15 8+15=4+25 (Now theres no division, so skip the D in PEMDAS, and use the A (Addition) 8+15= 23 and 4+25 = 29 23=29 (A is not the right answer since they dont have the same value) This is testing if answer B is the correct answer 8+3*4=2^2+4^2 ( I replaced x with 4) 8+3*4=4+16 (2*2=4 and 4*4= 16) 8+12=4+16 (multiplying 3and 4=12) 20=20 (Now these are the same value but you should double check just in case Option C) 8+3*3 =2^2+3^2 (notice again I replaced x with 3 8+3*3=4+9 (2^2=4 and 3*3=9) 8+9=4+9 ( 3*3=9) 17=13 (8+9=17 and 4+9 = 13) C) is also not right because the numbers arent the same value Option D) 8+3*2=2^2+2^2 8+3*2=4+4 (2*2=4 and 2*2=4) 8+6=4+4 (3*2=6) 14=8 (8+6=14 and 4+4=8) Since D) is not correct,
The correct answer is B)4
(Hope this helps you understand why A, C, and D isn't correct)
5 teachers and 10 tutors because we can make a proportion:
3/75=x/120, and when you cross multiply and solve for x you will get 4.8, but there can't be 4.8 teachers so we can say 5 teachers (round). Do the same for tutors: 6/72=x/120, x would equal 10.
