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Svetach [21]
3 years ago
8

5. Yourfatherwantsyoutohelphimbuildashedinthebackyard.Hesays he will pay you $10 for the first week and add an additional $10.50

each week thereafter. The project will take five weeks. How much money will you earn, in total, if you work for the five weeks?
a) $52 b) $62 c) $205 d) $155
Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

B. $62

Step-by-step explanation:

y = mx + b

y = $10.50x + $10

The project will take five weeks so

y = $10.50(5) + $10

y = $52.50 + $10

y = $62.50

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The height of building is 35 feet

<em><u>Solution:</u></em>

Given that,

Sam is 6 feet tall and his shadow is 3.6 feet tall

The shadow of building is 21 feet long

<em><u>To find: height of building</u></em>

We can solve this by setting up a ratio comparing the height of the building to the height of the Sam and shadow of the building to the shadow of the Sam

Let us consider,

h_b = height of building

h_m = height of Sam

s_b = shadow of building

s_m = shadow of Sam

Therefore,

\frac{\text {height of building}}{\text {shadow of building}}=\frac{\text {height of Sam}}{\text {shadow of Sam}}

\frac{h_{b}}{S_{b}}=\frac{h_{m}}{S_{m}}

Substitute the values,

\begin{aligned}&\frac{h_{b}}{21}=\frac{6}{3.6}\\\\&h_{b}=\frac{6}{3.6} \times 21\\\\&h_{b}=35\end{aligned}

Thus height of building is 35 feet

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