Question

A batting machine uses an automatic baseball feeder. During baseball

Answer 1

The feeders in battling machine are represented in proportions and fractions.

• The equation that represents the problem is: $\mathbf{\frac 16x + 15 = \frac 23x}$
• The feeder can hold 30 baseballs, when full

The given parameters are:

$\mathbf{Initial = \frac 16x}$ ------ 1/6 full

$\mathbf{Additional = 15}$ --- baseballs added

$\mathbf{Final = \frac 23x}$ ---- 2/3 full

So, the equation that represents the problem is:

$\mathbf{Initial + Additional = Final}$

So, we have:

$\mathbf{\frac 16x + 15 = \frac 23x}$

The number of baseballs it can hold is calculated as follows:

$\mathbf{\frac 16x + 15 = \frac 23x}$

Multiply through by 6

$\mathbf{x + 90 = 4x}$

Collect like terms

$\mathbf{4x - x = 90 }$

$\mathbf{3x = 90 }$

Divide through by 3

$\mathbf{x = 30 }$

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104