-10.4 x -78.2
23 answers
820.08
-10.4 * -78.2
The product of -10.4 and -78.2 is 813.68.
82 multiplyed by (-13)
82 multiplied by (-13) is equal to -1066.
1 1/6 as a decimal
To convert 1 1/6 to a decimal, first, we need to convert the mixed number to an improper fraction.
To do this, we multiply the whole number, which is 1, by the denominator of the fraction, which is 6.
1 * 6 = 6
Then, we add this result to the numerator, which is 1.
6 + 1 = 7
So, the improper fraction equivalent of 1 1/6 is 7/6.
Finally, to convert this improper fraction to a decimal, we divide the numerator (7) by the denominator (6).
7 ÷ 6 = 1.1666666666666667
Therefore, 1 1/6 as a decimal is approximately 1.1667.
To do this, we multiply the whole number, which is 1, by the denominator of the fraction, which is 6.
1 * 6 = 6
Then, we add this result to the numerator, which is 1.
6 + 1 = 7
So, the improper fraction equivalent of 1 1/6 is 7/6.
Finally, to convert this improper fraction to a decimal, we divide the numerator (7) by the denominator (6).
7 ÷ 6 = 1.1666666666666667
Therefore, 1 1/6 as a decimal is approximately 1.1667.
8.1669 as a mixed fraction
To convert 8.1669 to a mixed fraction, we need to split the whole number and the decimal part.
The whole number is 8, and the decimal part is 0.1669.
Next, we convert the decimal part to a fraction by placing the decimal value over its appropriate place value. In this case, the decimal is in the thousandths place (0.1669 = 1669/10000).
Now, we add the whole number and the fraction together:
8 + 1669/10000
To add these values, we need to find a common denominator. The smallest common multiple of 10000 and 1 is 10000.
First, we convert 8 into a fraction with a denominator of 10000 by multiplying both the numerator and the denominator by 10000:
8 * 10000/1 * 10000 = 80000/1
Now, we can add the fractions together:
80000/1 + 1669/10000 = (80000 * 10000 + 1669)/(1 * 10000) = (800000000 + 1669)/10000 = 800001669/10000.
Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor:
800001669 ÷ 10000 = 80000 remainder 1669
So, the mixed fraction equivalent of 8.1669 is 8 and 1669/10000.
The whole number is 8, and the decimal part is 0.1669.
Next, we convert the decimal part to a fraction by placing the decimal value over its appropriate place value. In this case, the decimal is in the thousandths place (0.1669 = 1669/10000).
Now, we add the whole number and the fraction together:
8 + 1669/10000
To add these values, we need to find a common denominator. The smallest common multiple of 10000 and 1 is 10000.
First, we convert 8 into a fraction with a denominator of 10000 by multiplying both the numerator and the denominator by 10000:
8 * 10000/1 * 10000 = 80000/1
Now, we can add the fractions together:
80000/1 + 1669/10000 = (80000 * 10000 + 1669)/(1 * 10000) = (800000000 + 1669)/10000 = 800001669/10000.
Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor:
800001669 ÷ 10000 = 80000 remainder 1669
So, the mixed fraction equivalent of 8.1669 is 8 and 1669/10000.
4.65 as a fraction
To convert 4.65 to a fraction, we note that it has two decimal places.
This means the number is in the hundredths place.
To convert it to a fraction, we write it as the numerator over 100.
So, 4.65 is equal to 465/100.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
When we divide 465 by 5, we get 93.
Similarly, when we divide 100 by 5, we get 20.
So, 4.65 as a fraction in simplified form is 93/20.
This means the number is in the hundredths place.
To convert it to a fraction, we write it as the numerator over 100.
So, 4.65 is equal to 465/100.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
When we divide 465 by 5, we get 93.
Similarly, when we divide 100 by 5, we get 20.
So, 4.65 as a fraction in simplified form is 93/20.
now in simplest form
To simplify the fraction 93/20, we need to find the greatest common divisor (GCD) of the numerator (93) and the denominator (20).
The prime factors of 93 are 3^1 * 31^1.
The prime factors of 20 are 2^2 * 5^1.
To simplify the fraction, we divide both the numerator and denominator by their GCD, which in this case is 1:
93 ÷ 1 = 93
20 ÷ 1 = 20
Therefore, the fraction 93/20 is already in its simplest form.
The prime factors of 93 are 3^1 * 31^1.
The prime factors of 20 are 2^2 * 5^1.
To simplify the fraction, we divide both the numerator and denominator by their GCD, which in this case is 1:
93 ÷ 1 = 93
20 ÷ 1 = 20
Therefore, the fraction 93/20 is already in its simplest form.
2 7/16 as a decimal
To convert the mixed number 2 7/16 to a decimal, we first need to convert the mixed number to an improper fraction.
First, we multiply the whole number, which is 2, by the denominator of the fraction, which is 16:
2 * 16 = 32
Next, we add this result to the numerator, which is 7:
32 + 7 = 39
So, the improper fraction equivalent of 2 7/16 is 39/16.
Finally, to convert this fraction to a decimal, we divide the numerator (39) by the denominator (16):
39 ÷ 16 = 2.4375
Therefore, 2 7/16 as a decimal is approximately 2.4375.
First, we multiply the whole number, which is 2, by the denominator of the fraction, which is 16:
2 * 16 = 32
Next, we add this result to the numerator, which is 7:
32 + 7 = 39
So, the improper fraction equivalent of 2 7/16 is 39/16.
Finally, to convert this fraction to a decimal, we divide the numerator (39) by the denominator (16):
39 ÷ 16 = 2.4375
Therefore, 2 7/16 as a decimal is approximately 2.4375.
convert 6 7/15 as a decimal
To convert the mixed number 6 7/15 to a decimal, we first need to convert the mixed number to an improper fraction.
To do this, we multiply the whole number, which is 6, by the denominator of the fraction, which is 15:
6 * 15 = 90
Next, we add this result to the numerator, which is 7:
90 + 7 = 97
So, the improper fraction equivalent of 6 7/15 is 97/15.
Finally, to convert this fraction to a decimal, we divide the numerator (97) by the denominator (15):
97 ÷ 15 ≈ 6.466666666666667
Therefore, 6 7/15 as a decimal is approximately 6.4667.
To do this, we multiply the whole number, which is 6, by the denominator of the fraction, which is 15:
6 * 15 = 90
Next, we add this result to the numerator, which is 7:
90 + 7 = 97
So, the improper fraction equivalent of 6 7/15 is 97/15.
Finally, to convert this fraction to a decimal, we divide the numerator (97) by the denominator (15):
97 ÷ 15 ≈ 6.466666666666667
Therefore, 6 7/15 as a decimal is approximately 6.4667.
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 plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.
To interpret the rate of change in the plane's altitude, we divide the change in altitude (4000 feet) by the time it took (3.5 minutes).
Change in altitude: 4000 feet
Time taken: 3.5 minutes
Rate of change in altitude = Change in altitude / Time taken
Rate of change in altitude = 4000 feet / 3.5 minutes
Rate of change in altitude ≈ 1142.86 feet per minute
Therefore, the rate of change in the plane's altitude, when descending due to strong winds, is approximately 1142.86 feet per minute.
Change in altitude: 4000 feet
Time taken: 3.5 minutes
Rate of change in altitude = Change in altitude / Time taken
Rate of change in altitude = 4000 feet / 3.5 minutes
Rate of change in altitude ≈ 1142.86 feet per minute
Therefore, the rate of change in the plane's altitude, when descending due to strong winds, is approximately 1142.86 feet per minute.
a fish is swiming at -10.8 meters or 10.8 meters below sea level.
A fish swimming at -10.8 meters is 10.8 meters below sea level.
a fish is swiming 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?
To determine how long it will take for the fish to reach a depth of -37.8 meters, we need to calculate how many descents of 1.5 meters the fish needs to make.
The difference in depth between the starting point (-10.8 meters) and the target depth (-37.8 meters) is:
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
To find the number of descents needed, we divide this difference by the descent amount of 1.5 meters:
-27 meters / 1.5 meters = -18
Therefore, the fish needs to make 18 descents of 1.5 meters each to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, the time it will take to make 18 descents is:
18 descents * 2 minutes/descent = 36 minutes
Hence, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
The difference in depth between the starting point (-10.8 meters) and the target depth (-37.8 meters) is:
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
To find the number of descents needed, we divide this difference by the descent amount of 1.5 meters:
-27 meters / 1.5 meters = -18
Therefore, the fish needs to make 18 descents of 1.5 meters each to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, the time it will take to make 18 descents is:
18 descents * 2 minutes/descent = 36 minutes
Hence, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.