Submerging

Monika dove 9 meters below the ocean's surface. She then dove 13 meters deeper. Then she rose 19 and one-fourth meters. What was her position concerning the water's surface (the water surface = 0, minus values = above water level, plus = above water level)?

Correct answer:

x =  -2.75 m

Step-by-step explanation:

$$\begin{gathered} a=-9\text{ m } \\ b=-13\text{ m } \\ c=19{\displaystyle \frac{1}{4}}=19+{\displaystyle \frac{1}{4}}={\displaystyle \frac{19\cdot 4+1}{4}}={\displaystyle \frac{77}{4}}=19.25\text{ m } \\ x=a+b+c=(-9)+(-13)+19.25=-{\displaystyle \frac{11}{4}}=-{\displaystyle \frac{11}{4}}\text{ m}=-2.75\text{ m} \end{gathered}$$

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