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 result:

x =  -2.75 m

Solution:

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

Try another example

Showing 0 comments:

Related math problems and questions:

• A dolphin
  A dolphin was swimming 17 meters below the surface of the ocean. It located a squid and dove down 4 more meters to eat it. What is the location of the dolphin now relative to the surface?
• Below sea level
  A submarine was situated 800 ft. Below sea level. If it ascends 250 ft. , What is its new position? (Hint: Below sea level implies negative integer).
• Oceans
  The Earth's surface is approximately 510,000,000 km² and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5 and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean?
• Karina
  Karina has 5 4/7 meters of cloth. She needs 3 1/6 meters of it in making a curtain for her window. How many meters of cloth were left to her after making the curtain?
• Regrouping
  Subtract mixed number with regrouping: 11 17/20- 6 19/20
• On Sunday
  On Sunday the temperature reached a high of 38° above 0. That night it dropped to 23° below 0. What is the difference between the high and low temperatures for Sunday?
• Two ribbons
  The total length of the two ribbons is 13 meters. If one ribbon is 7 and 5/8 meters long, what is the length of the other ribbon?
• Discount
  Product has been discounted twice by 19%. What is the total discount given?
• Leaking swimming pool
  Between 10 P. M. and 7:10 A. M. , the water level in a swimming pool decreased by 5/12 inches . Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
• Laboratory
  Mang Elio went to his laboratory at 7:00am And recorded that the temperature was 11.07°C. At lunchtime, the temperature rose by 27.9°C but dropped by 8.05°C at 5:00 PM. What was the temperature at 5:00 PM?
• Motion2
  Cyclist started out of town at 19 km/h. After 0.7 hours car started behind him in the same direction and caught up with him for 23 minutes. How fast and how long went car from the city to caught cyclists?
• The temperature
  The temperature at 1:00 was 10 F. Between 1:00 and 2:00, the temperature dropped 15F. Between 2:00 and 3:00, the temperature rose 3F. What is the temperature at 3:00?
• A trout
  A trout was swimming 9 feet below the surface of a lake. It dove down 8 more feet to search for food. What is the position of the trout now relative to the surface? To solve the problem, Denise subtracted 9–8 and came up with an answer of 17 feet. Is Deni
• Weather
  Weather. At 5:00 a. M. , the temperature was 28°C and at noontime it rose by 9°C. By 4:00 p. M. , it dropped 3°C and by nighttime it was 4°C less. What is the room temperature this time?
• Savings
  Eva borrowed 1/3 of her savings to her brother, 1/2 of savings spent in the store and 7 euros left. How much did she save?
• Triangle
  For how many integer values of x can 6, 19 and x be the lengths of the sides of triangle?
• Rose spends
  Rose spends 2 1/3 hours studying Math, 1 3/4 hours studying English, and 2 1/4 hours studying Science. Find her average time studying the three subjects.