4) We have to calculate how many times taller is the actual monument compared to the model.
The actual height is 87 1/2 ft.
The model height is 1 1/4 ft.
We can calculate how many times taller is the actual monument compared to the model by dividing the actual height by the model height:
[tex]k=\frac{87+\frac{1}{2}}{1+\frac{1}{4}}=\frac{\frac{175}{2}}{\frac{5}{4}}=\frac{175}{2}*\frac{4}{5}=\frac{175}{5}*\frac{4}{2}=35*2=70[/tex]
Answer: the monument is 70 times taller than the model.
The operation we use to solve this problem is a quotient between the two heights.
5) We have a monument that is a rectangular prism.
We know that the height is 5' 2'' and the width is 4' 3''.
We also know that the width (W) is 5 inches less than half the length.
We have to find the length (L).
We then have to write:
[tex]W=\frac{L}{2}-5\text{ in}[/tex]
To solve this, we have to add 5 inches to the width first and then multiply the result by 2:
[tex]\begin{gathered} (4^{\prime}+3^{\prime\prime})=\frac{L}{2}-5^{\prime\prime} \\ 4^{\prime}+3^{\prime\prime}-5^{\prime\prime}=\frac{L}{2} \\ (4*12^{\prime\prime})+3^{\prime\prime}-5^{\prime\prime}=\frac{L}{2} \\ 48^{\prime\prime}-2^{\prime\prime}=\frac{L}{2} \\ 46^{\prime\prime}=\frac{L}{2} \\ L=2*46^{\prime\prime} \\ L=92^{\prime\prime} \\ L=84^{\prime\prime}+6^{\prime\prime} \\ L=7^{\prime}+6^{\prime\prime} \end{gathered}[/tex]
Answer: the length is 7' 6''.
The first operation is adding (we add 5'' to the width) and the second operation is multiplication (we multiply the result by 2).
