The size 4 soccer ball sean's team uses should weigh no more than 0.37 kilogram and no less than 0.31 kilogram a soccer bag has two balls in it what is the most they could weigh together the least?

Respuesta :

Answer:

The weight of two balls together can be at most 0.74 kilogram and the lest weight will be 0.62 kilogram

Step-by-step explanation:

Suppose, the weight of one soccer ball is  [tex]x[/tex] kilogram.

As the ball weighs no more than 0.37 kilogram, that means:  [tex]x\leq 0.37 ...............................(1) [/tex]

And also the ball is no less than 0.31 kilogram, that means:  [tex]x\geq 0.31 ................................(2)[/tex]

So, if we combine inequalities (1) and (2), then we will get........

[tex]0.31\leq x\leq 0.37 [/tex]

Now, the soccer bag has two balls in it. So, the weight of two balls will be: [tex]2x[/tex] kilogram.

Multiplying the above inequality by 2, we will get........

[tex](0.31*2)\leq 2x\leq (0.37*2)\\ \\ 0.62\leq 2x\leq 0.74[/tex]

Thus, the weight of two balls together can be at most 0.74 kilogram and the lest weight will be 0.62 kilogram.