A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
Answer:
495
Step-by-step explanation:
1,650 x 0.7 = 1,155
1,650 - 1,155 = 495
(0.7 is the percentage)
Hope this helps!
The first step to simplify this equation is to multiply the numbers
1512

×

next,, youll multiply the terms with the same base by adding their exponents
1512

finally,, youll add the numbers together
1512

since you cant simplify any further,, the correct answer to your question is 1512

let me know if you have any further questions
:)
Answer:
8 pencils per student.
Step-by-step explanation:
Since there are 4000 pencils and 500 students we can do 500 divided by 4000 to get our rate, 8 pencils for every student.