Respuesta :
[tex]\frac{3}{4}[/tex] gallons of water fill the bin.
What is an expression?
- An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
- To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
Given: Nancy left a bin outside in her garden to collect rainwater.
She notices that 1 over 2 gallons of water fills 2 over 3 of the bin.
To Find: Write and solve an expression to find the amount of water that will fill the entire bin.
Let's say the amount of Water to fill the bin = W gallon
- Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{2W}{3}[/tex]
- Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{1}{2}[/tex] gallon
Equate both:
[tex]\frac{2W}{3} =\frac{1}{2}[/tex] is the expression to find the amount of water that will fill the entire bin.
[tex]\frac{2W}{3} =\frac{1}{2} \\2W=\frac{3}{2} \\W=\frac{3}{4}[/tex]
Therefore, [tex]\frac{3}{4}[/tex] gallons of water fill the bin.
Know more about expressions here:
https://brainly.com/question/723406
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