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harina [27]
3 years ago
10

Quect Shipping Company charges a flat fee of $8 plus an additional $0.14 per pound to ship a package. Rew Shipping Company charg

es a flat fee of $13 plus an additional $0.08 per pound. Hannah realizes she would pay the same amount at both companies to ship her package. How much does her package weigh?
Write an equation to represent this situation. Use 'x' as the variable.

Find the weight of the package. Round to the nearest pound.
Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

0.08

Step-by-step explanation:

why because u multyoly them together and then substarcj=t the answer and u get your answer

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In planning her​ retirement, Liza deposits some money at 3.5​% ​interest, with twice as much deposited at 4.5​%. Find the amount
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a = amount deposited at 3.5%

b = amount deposited at 4.5%

we know that "b" is twice as much as "a", thus b = 2a.

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)

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0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}

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