Determine the sign of the product of -10.4 multiplied by -78.2.
The product of -10.4 multiplied by -78.2 is a positive number.
multiply 82 x (-13)
82 multiplied by -13 equals -1,066.
Multiply -1 1/6 by 7. Write the answer as a mixed number
To multiply -1 1/6 by 7, we first need to convert -1 1/6 to an improper fraction.
-1 can be written as -6/6, and when we add it to 1/6, we get -7/6.
To multiply -7/6 by 7, we multiply the numerators and the denominators:
(-7 * 7) / (6 * 1) = -49/6
To write this as a mixed number, we divide the numerator (-49) by the denominator (6):
-49 ÷ 6 = -8 remainder 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 simplified fraction 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 the proportion of gray cars that are electrically powered.
Given:
The fraction of cars that are gray = 2/5
The fraction of gray cars that are electrically powered = 1/3
To find the fraction of cars that are both gray and electrically powered:
(2/5) * (1/3) = 2/15
Therefore, 2/15 of the cars on the lot are both gray and electrically powered.
Lake profondo has a depth of 84 feet. Lake Segundo is 5/6 as deep. What is the elevation at the bottom of lake segundo?
To find the depth of Lake Segundo, which is 5/6 as deep as Lake Profondo, we need to multiply the depth of Lake Profondo by 5/6.
Depth of Lake Profondo = 84 feet
Depth of Lake Segundo = (84 feet) * (5/6)
To multiply fractions, we multiply the numerators and denominators:
Depth of Lake Segundo = (84 * 5) / (6)
Simplifying the expression:
Depth of Lake Segundo = 420 / 6
Depth of Lake Segundo = 70 feet
Therefore, the elevation at the bottom of Lake Segundo is 70 feet.
What is 4.65 converted to fraction? the answer should be given in simplest form
To convert 4.65 into a fraction, we can write it as a fraction with the decimal part as the numerator and a power of 10 as the denominator.
4.65 = 4 + 0.65
Since there are two decimal places in 0.65, we can write it as 65/100.
Now, we add 4 and 65/100:
4 + 65/100 = 4 * 100/100 + 65/100 = 400/100 + 65/100 = 465/100
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
465/100 = (465 ÷ 5) / (100 ÷ 5) = 93/20
Therefore, 4.65 is equivalent to 93/20 when written as a fraction in simplest form.
use long division to convert 2 7/16 to a decimal
To convert 2 7/16 to a decimal using long division, we divide the numerator (39) by the denominator (16):
2.4375
___________
16 | 39.0000
-32
_______
7.000
- 0
_______
0
Therefore, 2 7/16 as a decimal is rounded to 2.4375.
Use long division to convert 6 7/15 to a decimal
To convert 6 7/15 to a decimal using long division, we divide the numerator (97) by the denominator (15):
6.4666666...
___________
15 | 97.0000000
- 90
_______
70
- 60
_______
100
- 90
______
10
Therefore, 6 7/15 as a decimal is rounded to 6.466666... or 6.47 (rounded to two decimal places).
A pilot is flying an airplane. due to storng winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. it takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the planes altitude. give your answer to the nearest hundredth, and remember the plane is descending.
To interpret the quotient as the rate of change in the plane's altitude, we divide the change in altitude (4,000 feet) by the time taken to make the adjustment (3.5 minutes):
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes
Calculating the division, we find:
Rate of change ≈ 1142.86 feet per minute
Therefore, the rate of change in the plane's altitude, while descending, is approximately 1142.86 feet per minute.
A pilot is flying an airplane. due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. it takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the planes altitude. give your answer to the nearest hundredth, and remember the plane is descending.
To interpret the quotient as the rate of change in the plane's altitude, we divide the change in altitude (4,000 feet) by the time taken to make the adjustment (3.5 minutes):
Rate of change = Change in altitude / Time taken
Rate of change = -4000 feet / 3.5 minutes
Since the plane is descending, the rate of change is negative.
Calculating the division, we find:
Rate of change ≈ -1142.86 feet per minute
Therefore, the rate of change in the plane's altitude, while descending, is approximately -1142.86 feet per minute.
use the properties of operations and rules multiplying and dividing signed numbers to solve:
-4 x 7/5 x -3/4 ÷ 7/15
To solve -4 x 7/5 x -3/4 ÷ 7/15, we can simplify the expression step by step using the properties of operations and rules for multiplying and dividing signed numbers.
Step 1: Multiply the numerators together and the denominators together separately:
-4 x 7 x -3 ÷ 5 x 4 x 7 ÷ 15
Step 2: Simplify each multiplication and division operation:
-84 ÷ 20 ÷ 15
Step 3: Divide -84 by 20:
-84 ÷ 20 = -4.2
Step 4: Divide -4.2 by 15:
-4.2 ÷ 15 ≈ -0.28
Therefore, -4 x 7/5 x -3/4 ÷ 7/15 is approximately equal to -0.28.
wrong
Apologies for the error in the previous response. Let's solve the expression correctly:
To solve -4 x 7/5 x -3/4 ÷ 7/15, we can simplify the expression step by step using the properties of operations and rules for multiplying and dividing signed numbers.
First, let's multiply the numerators together and the denominators together separately:
(-4 x 7 x -3) / (5 x 4) ÷ (7/15)
Simplifying further:
(84 / 20) ÷ (7/15)
To divide by a fraction, we multiply by its reciprocal:
(84 / 20) x (15/7)
Next, let's simplify the multiplication:
(6.3) x (15/7)
Now, we multiply the numbers and fractions separately:
(6.3) x (15) / (7)
Multiply the numbers:
94.5 / 7
Finally, divide 94.5 by 7:
94.5 ÷ 7 = 13.5
Therefore, -4 x 7/5 x -3/4 ÷ 7/15 is equal to 13.5.
still wrong
Apologies for the confusion. Let's solve the expression correctly:
To solve -4 x 7/5 x -3/4 ÷ 7/15, we can simplify the expression step by step using the properties of operations and rules for multiplying and dividing signed numbers.
First, let's multiply the numerators together and the denominators together:
(-4 x 7 x -3) / (5 x 4) ÷ (7/15)
Simplifying further:
(84) / (20) ÷ (7/15)
To divide by a fraction, we multiply by its reciprocal:
(84) / (20) x (15/7)
Next, let's simplify the multiplication:
(84 x 15) / (20 x 7)
Now, multiply the numbers:
1260 / 140
Simplifying further:
9
Therefore, -4 x 7/5 x -3/4 ÷ 7/15 is equal to 9.
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
To find how long it will take for the fish to reach a depth of -37.8 meters, we need to determine the number of times the fish descends 1.5 meters and then multiply it by 2 minutes (the time taken for each descent).
Let's calculate the number of times the fish needs to descend:
Depth to reach = -37.8 meters
Initial depth = -10.8 meters
Change in depth = Depth to reach - Initial depth
Change in depth = -37.8 meters - (-10.8 meters)
Change in depth = -37.8 meters + 10.8 meters
Change in depth = -27 meters
Number of times to descend = Change in depth / Descend distance
Number of times to descend = -27 meters / 1.5 meters
Number of times to descend = -18
Since the result is negative, it means the fish needs to descend 18 times to reach a depth of -37.8 meters.
Now, let's determine the time taken:
Time taken = Number of times to descend x Time taken per descent
Time taken = 18 times x 2 minutes per descent
Time taken = 36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters. This means that after descending 1.5 meters every 2 minutes, it will take the fish 36 minutes to reach a depth of -37.8 meters below sea level.