Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
To determine which of the given equations is a proportion, we need to check if the fractions on either side of each equation are equal.
Let's step through each option:
### Option 1:
[tex]\(\frac{5}{8} = \frac{16}{26}\)[/tex]
Calculate:
[tex]\[ \frac{5}{8} \approx 0.625 \][/tex]
[tex]\[ \frac{16}{26} \approx 0.615 \][/tex]
Since [tex]\(0.625 \neq 0.615\)[/tex], the fractions are not equal.
### Option 2:
[tex]\(\frac{22}{33} = \frac{3}{2}\)[/tex]
Calculate:
[tex]\[ \frac{22}{33} \approx 0.6667 \][/tex]
[tex]\[ \frac{3}{2} = 1.5 \][/tex]
Since [tex]\(0.6667 \neq 1.5\)[/tex], the fractions are not equal.
### Option 3:
[tex]\(\frac{10}{18} = \frac{25}{45}\)[/tex]
Calculate:
[tex]\[ \frac{10}{18} \approx 0.5556 \][/tex]
[tex]\[ \frac{25}{45} \approx 0.5556 \][/tex]
Since [tex]\(0.5556 = 0.5556\)[/tex], the fractions are equal, thus this is a proportion.
### Option 4:
[tex]\(\frac{19}{3} = \frac{76}{16}\)[/tex]
Calculate:
[tex]\[ \frac{19}{3} \approx 6.3333 \][/tex]
[tex]\[ \frac{76}{16} = 4.75 \][/tex]
Since [tex]\(6.3333 \neq 4.75\)[/tex], the fractions are not equal.
Therefore, the correct proportion is given in Option 3:
[tex]\[ \frac{10}{18} = \frac{25}{45} \][/tex]
So, the proportion holds true for the third option.
Let's step through each option:
### Option 1:
[tex]\(\frac{5}{8} = \frac{16}{26}\)[/tex]
Calculate:
[tex]\[ \frac{5}{8} \approx 0.625 \][/tex]
[tex]\[ \frac{16}{26} \approx 0.615 \][/tex]
Since [tex]\(0.625 \neq 0.615\)[/tex], the fractions are not equal.
### Option 2:
[tex]\(\frac{22}{33} = \frac{3}{2}\)[/tex]
Calculate:
[tex]\[ \frac{22}{33} \approx 0.6667 \][/tex]
[tex]\[ \frac{3}{2} = 1.5 \][/tex]
Since [tex]\(0.6667 \neq 1.5\)[/tex], the fractions are not equal.
### Option 3:
[tex]\(\frac{10}{18} = \frac{25}{45}\)[/tex]
Calculate:
[tex]\[ \frac{10}{18} \approx 0.5556 \][/tex]
[tex]\[ \frac{25}{45} \approx 0.5556 \][/tex]
Since [tex]\(0.5556 = 0.5556\)[/tex], the fractions are equal, thus this is a proportion.
### Option 4:
[tex]\(\frac{19}{3} = \frac{76}{16}\)[/tex]
Calculate:
[tex]\[ \frac{19}{3} \approx 6.3333 \][/tex]
[tex]\[ \frac{76}{16} = 4.75 \][/tex]
Since [tex]\(6.3333 \neq 4.75\)[/tex], the fractions are not equal.
Therefore, the correct proportion is given in Option 3:
[tex]\[ \frac{10}{18} = \frac{25}{45} \][/tex]
So, the proportion holds true for the third option.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.