Answer:
1.C
2. 130, answer not listed
3. A
4. B
5.C
Step-by-step explanation:
To solve equations with fractions, convert from a mixed number to an improper fraction then use the inverse. The inverse of a fraction is multiplying by the reciprocal of the fraction on both sides.
1.
[tex]2\frac{1}{4}r=10\\\\\frac{9}{4}r=10\\\\\frac{4}{9} *\frac{9}{4}r=10*\frac{4}{9}\\\\r=\frac{40}{9} \\\\r=4\frac{4}{9}[/tex]
2.
[tex]\frac{h}{26}=5\\\\\frac{26}{1} *\frac{h}{26}=5*\frac{26}{1}\\\\h=130[/tex]
3.
[tex]\frac{6}{7}k=6\\\\\frac{7}{6} *\frac{6}{7}k=6*\frac{7}{6}\\\\k=\frac{42}{6} \\\\k=7[/tex]
4.
[tex]\frac{4}{5}x\\\\\frac{4}{5}*\frac{5}{8}\\\\\frac{20}{40} \\\\\frac{1}{2}[/tex]
5.
[tex]\frac{h}{4/9} \\\\\frac{\frac{16}{3} }{\frac{4}{9} } \\\\\\\frac{\frac{16}{3} *\frac{9}{4}}{\frac{4}{9}*\frac{9}{4}}\\\\\frac{16}{3} *\frac{9}{4}\\\\\\\frac{144}{12} \\\\12[/tex]
