Josie is determined the length of the fabric she has left for a project. Fabric A is 2/5ft.Long. Fabric B is 3/4 ft. Longer than fabric A. Fabric C is 7/10 ft. Shorter than fabric B. What is the total length of fabric A, B, and C

Respuesta :

Answer:

The length of  Fabric A = 2/5 ft , Fabric B = 23/20 ft, Fabric C = 9/20 ft

Step-by-step explanation:

The length of the fabric A = 2/5 ft

The length of the fabric B = ([tex]\frac{3}{4}  + \frac{2}{5}[/tex]) ft

Hence, the length of fabric B is :

([tex]\frac{3}{4}  + \frac{2}{5}[/tex]) = [tex]\frac{3(5) + 2(4)}{20}  =  \frac{23}{20}[/tex] ft

Now, the length of fabric C = [tex](\frac{23}{20}  - \frac{7}{10} ) ft[/tex]

⇒ [tex](\frac{23}{20}  - \frac{7}{10} ) ft[/tex] = [tex]\frac{23(10) - 7(20)}{200}  =  \frac{9}{20}[/tex]

Hence, the length of :  FABRIC A = 2/5 ft

                                      FABRIC B = 23/20 ft

                                      FABRIC C = 9/20 ft

Answer:

A = [tex]\frac{2}{5}[/tex] ft

B = [tex]\frac{23}{20}[/tex] ft

C = [tex]\frac{9}{20}[/tex] ft

The total length of fabric A , B ,C = 2 ft

Step-by-step explanation:

The length of fabric A = [tex]\frac{2}{5}[/tex] ft

The length of fabric B = [tex]\frac{3}{4}[/tex] ft +  [tex]\frac{2}{5}[/tex] ft

                                 B = [tex]\frac{15 + 8}{20}[/tex] ft

                                 B = [tex]\frac{23}{20}[/tex] ft

The length of fabric C = [tex]\frac{23}{20}[/tex] ft - [tex]\frac{7}{10}[/tex] ft

                                 C = [tex]\frac{23 -14 }{20}[/tex] ft

                                C = [tex]\frac{9}{20}[/tex] ft

The total length of fabric = [tex]\frac{2}{5}[/tex] ft +  [tex]\frac{23}                {20}[/tex] ft + [tex]\frac{9}{20}[/tex] ft

The total length of fabric = [tex]\frac{8 + 23 +9}{20}[/tex] ft

                                            = [tex]\frac{40}{20}[/tex] ft

                                            = 2 ft

Hence the total length of fabric A , B ,C = 2 ft      Answer

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