Please answer 26 and 27 please thank you

Accepted Solution

Answer:Part 26) [tex]3\frac{1}{4}\ in[/tex]Part 27) [tex]2\frac{2}{3}\ cups[/tex]Step-by-step explanation:Part 26) we know thatThe length of Alana's hair was 9 3/4 inchesAfter her haircut, the length was 6 1/2 inchesTo find out how many inches did she have cut subtract 6 1/2 from 9 3/4but firstConvert mixed number to an improper fraction[tex]9\frac{3}{4}\ in=\frac{9*4+3}{4}=\frac{39}{4}\ in[/tex][tex]6\frac{1}{2}\ in=\frac{6*2+1}{2}=\frac{13}{2}\ in[/tex]Find the difference[tex]\frac{39}{4}-\frac{13}{2}=\frac{39-26}{4}=\frac{13}{4}\ in[/tex]Convert to mixed number[tex]\frac{13}{4}\ in=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}\ in[/tex]Part 27) we have thatEmeril used a total of 7 1/4 cups of flour to make three pastriesHe used 2 1/4 cup of flour for the first and 2 1/3 cups of flour for the secondTo find out how much cups of flour Emeril use for the third pastry, subtract the sum of the cups of flour used in the first and second pastry from the total cups of pastry usedLetx ----> number of cups of flour used in the third pastry[tex]x=7\frac{1}{4}-(2\frac{1}{4} +2\frac{1}{3})[/tex]but firstConvert mixed number to an improper fraction[tex]7\frac{1}{4}\ in=\frac{7*4+1}{4}=\frac{29}{4}\ cups[/tex][tex]2\frac{1}{4}\ in=\frac{2*4+1}{4}=\frac{9}{4}\ cups[/tex][tex]2\frac{1}{3}\ in=\frac{2*3+1}{3}=\frac{7}{3}\ cups[/tex]substitute[tex]x=\frac{29}{4}-(\frac{9}{4} +\frac{7}{3})[/tex][tex]x=\frac{20}{4} -\frac{7}{3}[/tex][tex]x=\frac{20*3-7*4}{12}[/tex][tex]x=\frac{32}{12}\ cups[/tex]Simplify[tex]x=\frac{8}{3}\ cups[/tex]Convert to mixed number[tex]\frac{8}{3}=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ cups[/tex]