Answer:
-Ratio 2
-Ratio 4
-Ratio 5
Also in attachment below
Step-by-step explanation:
So, before we solve each ratio, we first need to understand what a unit rate is.
A unit rate is rato of one specific value. For example, the ratios in your problem look lik this:
[tex]ratio 1 : ratio2[/tex]
A unit rate looks like this:
[tex]\frac{ratio1}{ratio2}[/tex]
Now lets go over each ratio:
Ratio 1:
[tex]\frac{9}{5}miles : 3 hours[/tex]
So, to find the unite rate, we divide [tex]\frac{9}{5}[/tex] by 3:
[tex]\frac{\frac{9}{5} }{3} = \frac{3}{5}[/tex]
[tex]\frac{3}{5}[/tex] is less than 1, so the first ratio is not correct.
Now that we have went through the first one step by step, I will do the other ones without explanation(If you want a explanation on them feel free to ask :3)
Ratio 2:
[tex]7 miles : \frac{3}{4} hours[/tex]
=
[tex]\frac{7}{\frac{3}{4} } = \frac{28}{3} = 9 \frac{1}{3}[/tex]
This has a unit rate greater than 1, and is correct.
Ratio 3:
[tex]2 \frac{1}{2}miles : 3hours[/tex]
=
[tex]\frac{2\frac{1}{2} }{3} = \frac{5}{6}[/tex]
This has a unit rate less than 1, and is not correct
Ratio 4:
[tex]\frac{9}{8}miles : \frac{5}{6} hours[/tex]
=
[tex]\frac{\frac{9}{8} }{\frac{5}{6} } = \frac{54}{40}[/tex]
This has a unit rate greater than 1, and is correct
Ratio 5:
[tex]4miles : 3\frac{1}{3} hours[/tex]
=
[tex]\frac{4}{3\frac{1}{3} } = \frac{12}{10}[/tex]
This has a unit rate greater than 1, and is correct
Ratio 6:
[tex]\frac{1}{3} mile : 2\frac{3}{8} hours[/tex]
=
[tex]\frac{\frac{1}{3} }{2\frac{3}{8} } = \frac{\frac{8}{3} }{19} = \frac{8}{57}[/tex]
This has a unit rate less than 1, and is not correct.
Hope this helps! :3
