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 =  -11/4 m

Step-by-step explanation:

$$\begin{gathered} a=-9\text{m} \\ b=-13\text{m} \\ c=19\frac{1}{4}=19+\frac{1}{4}=\frac{19\cdot 4+1}{4}=\frac{76+1}{4}=\frac{77}{4}=19.25\text{m} \\ x=a+b+c=(-9)+(-13)+\frac{77}{4}=-\frac{11}{4}\text{m}=-2\frac{3}{4}\text{m}=-2.75\text{m} \end{gathered}$$

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