a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inches. if long jumps are measured to the nearest quarter inch, how much farther must Tim jump to break the record?

Answer:4.75 inches.Step-by-step explanation:We must introduce the symbols for inches and feet.Here we will use, x' = x feet and x" = x inchesA high school track teams long jump record is 21 feet and [tex]2\dfrac{1}{4}[/tex] inches i.e. 21'2.25" this year.Now, Tim's best long jump is 20 feet and [tex]9\dfrac{1}{2}[/tex] inches i.e. 20'9.5".So, the difference between the record jump and Tim's best jump is (21'2.25" - 20'9.5")= (21'2.25" - 21') + (21' - 20'9.5") = 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}= 4.75" Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)