Question

*17. if \\(\frac{3}{8}\\) of the group voted yes and \\(\frac{3}{8}\\) voted no, then what fraction of the group did not vote?
answer:
*19. \\(6\frac{3}{4} - 6.2\\) (decimal answer)
answer:
*21. \\(\sqrt{1600}\\)
answer:
*23. write the prime factorization of 900 using exponents.
answer:

Explanation:

Question 17

Step1: Find total voted fraction

The fraction that voted yes is $\frac{3}{8}$ and no is $\frac{3}{8}$. So total voted is $\frac{3}{8}+\frac{3}{8}=\frac{6}{8}$.

Step2: Find non - voted fraction

The whole group is represented by 1 (or $\frac{8}{8}$). Subtract the voted fraction from 1: $1 - \frac{6}{8}=\frac{8 - 6}{8}=\frac{2}{8}=\frac{1}{4}$.

Step1: Convert mixed number to decimal

$6\frac{3}{4}$ is equal to $6 + \frac{3}{4}$. Since $\frac{3}{4}=0.75$, so $6\frac{3}{4}=6.75$.

Step2: Subtract the decimals

Subtract 6.2 from 6.75: $6.75−6.2 = 0.55$.

Step1: Recall square root of perfect squares

We know that $40\times40 = 1600$, so $\sqrt{1600}=40$.

Answer:

$\frac{1}{4}$

Question 19