3 years ago

Nuts cost 0.75 for 3 pounds find the unit rate in dollars per pound

1 answer:

5 0

Alright, so here, we can simply divide 0.75/3=0.25 due to that we need to find that we need to find the unit rate of each pound, and we have 3, so we need to divide by 3

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Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

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We will solve for the missing side by using the similar triangle theorem. This is shown below:~

$\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}$

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