Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means.
explain in easy way step by step bot
Step 1: Start at the initial depth of -10.8 meters.
Step 2: Subtract 1.5 meters every 2 minutes.
Step 3: Continue subtracting 1.5 meters every 2 minutes until we reach -37.8 meters.
Let's find out the number of times the fish needs to descend 1.5 meters to reach -37.8 meters.
-10.8 - 1.5 = -12.3
-12.3 - 1.5 = -13.8
-13.8 - 1.5 = -15.3
-15.3 - 1.5 = -16.8
-16.8 - 1.5 = -18.3
-18.3 - 1.5 = -19.8
-19.8 - 1.5 = -21.3
-21.3 - 1.5 = -22.8
-22.8 - 1.5 = -24.3
-24.3 - 1.5 = -25.8
-25.8 - 1.5 = -27.3
-27.3 - 1.5 = -28.8
-28.8 - 1.5 = -30.3
-30.3 - 1.5 = -31.8
-31.8 - 1.5 = -33.3
-33.3 - 1.5 = -34.8
-34.8 - 1.5 = -36.3
-36.3 - 1.5 = -37.8
It took 17 steps to reach -37.8 meters.
Since each step took 2 minutes, the fish will take 17 x 2 = 34 minutes to reach a depth of -37.8 meters.
Therefore, it will take the fish 34 minutes to reach a depth of -37.8 meters.
Explanation: The fish starts at -10.8 meters and descends 1.5 meters every 2 minutes. After 17 steps, reaching a total time of 34 minutes, it reaches a depth of -37.8 meters.
DETERMINE THE SIGN OF -10.4 X -78.2
The sign of the product -10.4 x -78.2 is positive. Multiply two negative numbers always results in a positive number.
82 X (-13)
The sign of the product 82 x (-13) is negative. When a positive number is multiplied by a negative number, the result is always negative. Therefore, the product is -1066.
multiply -1 1/6 by 7. Write the answer as a mixed number.
To multiply -1 1/6 by 7, first convert -1 1/6 to an improper fraction.
-1 can be written as -6/6, and when added to 1/6, we get -7/6.
Now, multiply -7/6 by 7:
-7/6 * 7 = -49/6
To write it as a mixed number, divide the numerator (-49) by the denominator (6):
-49 ÷ 6 = -8 remainder 1
The quotient is -8 with a remainder of 1.
Therefore, the answer is -8 1/6.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplest form.
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and electrically powered gray cars.
The fraction of gray cars is 2/5.
The fraction of electrically powered gray cars is 1/3.
To find the fraction of cars that are both gray and electrically powered, we multiply 2/5 by 1/3:
(2/5) * (1/3) = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
To solve this word problem, we need to find out how many times the fish descends by 1.5 meters to reach a depth of -37.8 meters. Here are the steps to find the answer:
1. Start with the initial depth of -10.8 meters.
2. Subtract the final depth (-37.8 meters) from the initial depth to find the total distance the fish needs to descend: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
3. Divide the total distance the fish needs to travel by the distance it descends every 2 minutes: -27 meters ÷ 1.5 meters = -18.
4. The answer is -18, which means that the fish has to descend 18 times by 1.5 meters to reach a depth of -37.8 meters.
5. To find the time it will take, multiply the number of descents (18) by the time it takes for each descent (2 minutes): 18 x 2 = 36 minutes.
6. Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
In summary, the fish will take 36 minutes to descend another 1.5 meters 18 times and reach a depth of -37.8 meters.