Gage has 3 footballs and 2 basketballs that weigh a total of 5.44 pounds. Each basketball weighs 1.37 pounds. Which equation and solution can be used to determine f, the weight of each football?

Respuesta :

Answer:

.9 pounds

Step-by-step explanation:

1.37x2=2.74 (2 basketballs)

5.44-2.74=2.7

2.7 divided by 3 (footballs)=0.9

The weight of the football can be determined, given that, the weight of the

balls combined and the weight of each basketball are given.

The equation and solution that can be used to determine the weight of

each football f is; 3·f + 2.74 = 5.44

Reasons:

Given:

Number of footballs = 3

Number of basketballs = 2

The total weight of the balls = 5.44 lb.

Weight of each basketball,  = 1.37

Required:

The equation and solution that can be used to determine f

Solution:

The weight of each football, f, can be determined as follows;

The weight of the two basketballs = 2 × 1.37 = 2.74

The weight of the three footballs = 3 × f = 3·f

Weight of the three footballs + Weight of the two basketballs = 5.44

Therefore, the equation to find f, is presented as follows;

3·f + 2.74 = 5.44

Which gives;

  • [tex]f =\dfrac{5.44 - 2.74}{3} = 0.9[/tex]

Therefore;

The option that gives the weight of the football is; 3·f + 2.74 = 5.44; f = 0.9.

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Question options;

2·f + 2.74 = 5.44; f = 1.35

2·f + 3.00 = 5.44; f = 1.22

3·f + 2.74 = 5.44; f = 0.9

3·f + 1.37 = 5.44; f = 1.35