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Setler [38]
3 years ago
4

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird f

eeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point. 18 + 3x = 24 + 2x What does x represent?
Mathematics
1 answer:
Rudik [331]3 years ago
4 0
<span>Simplifying 18 + 3x = 24 + 2x

Solving 18 + 3x = 24 + 2x

</span><span>Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right

</span><span>Add '-2x' to each side of the equation.
18 + 3x + -2x = 24 + 2x + -2x
</span>
<span>Combine like terms: 3x + -2x = 1x
18 + 1x = 24 + 2x + -2x
</span>
<span>Combine like terms: 2x + -2x = 0
18 + 1x = 24 + 0
18 + 1x = 24
</span>
<span>Add '-18' to each side of the equation.
18 + -18 + 1x = 24 + -18
</span>
<span>Combine like terms: 18 + -18 = 0
0 + 1x = 24 + -18
1x = 24 + -18
</span>
<span>Combine like terms: 24 + -18 = 6 1x = 6
</span>
<span>Divide each side by '1'.
x = 6

Simplifying x = 6

Hope I helped ;)
</span>
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