Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
see explanation
Step-by-step explanation:
given
10 [tex]\frac{1}{2}[/tex] : 2 [tex]\frac{1}{2}[/tex]
Change both mixed numbers into improper fractions
[tex]\frac{2(10)+1}{2}[/tex] : [tex]\frac{2(2)+1}{2}[/tex]
= [tex]\frac{20+1}{2}[/tex] : [tex]\frac{4+1}{2}[/tex]
= [tex]\frac{21}{2}[/tex] : [tex]\frac{5}{2}[/tex] ( multiply both parts by 2 )
= 21 : 5 ← in the form 21 : x
with x = 5
------------------------------------------------------------
given
[tex]\frac{11}{\sqrt{x} }[/tex] = [tex]\frac{9}{\sqrt{y} }[/tex] ( square both sides )
[tex](\frac{11}{\sqrt{x} }) ^{2}[/tex] = [tex](\frac{9}{\sqrt{y}}) ^{2}[/tex]
[tex]\frac{121}{x}[/tex] = [tex]\frac{81}{y}[/tex] ( multiply both sides by x )
121 = [tex]\frac{81x}{y}[/tex] (divide both sides by 81 )
[tex]\frac{121}{81}[/tex] = [tex]\frac{x}{y}[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
