The temperature in Antarctica at noon is 14°F. By 9:00 PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00 PM?
To determine the temperature at 9:00 PM, we need to subtract 16.2 degrees from the temperature at noon.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
7 2/3 + -5 1/4
To add these mixed numbers, we first need to convert them into improper fractions.
7 2/3 = (3 * 7 + 2)/3 = 23/3
-5 1/4 = (4 * -5 + 1)/4 = -19/4
Now, we can add the fractions:
23/3 + -19/4
To add these fractions, we need to find a common denominator:
The common denominator is the LCM of 3 and 4, which is 12.
Now, we can rewrite the fractions with the common denominator:
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
Now, we can add the fractions:
92/12 + -57/12 = 35/12
Therefore, 7 2/3 + -5 1/4 = 35/12.
1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 0.4
To add these fractions and decimals, we can begin by finding a common denominator for the fractions.
1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 0.4
Since the denominators of the fractions are 4 and 5, we can use the least common multiple (LCM) of 4 and 5, which is 20, as the common denominator.
Now, we can rewrite the fractions with the common denominator:
(1/4) * (5/5) − (1/2) * (10/10) + (1/2) * (10/10) − (1/4) * (5/5) + (3/5) * (4/4)
This simplifies to:
5/20 − 10/20 + 10/20 − 5/20 + 12/20 + 0.4
Now, we can add the fractions:
5/20 − 10/20 + 10/20 − 5/20 + 12/20
= (5 − 10 + 10 − 5 + 12) / 20
= 12/20
Simplifying further, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
12/20 = (12 ÷ 4)/(20 ÷ 4) = 3/5
Therefore, 1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 0.4 equals 3/5.
Consider this expression:
1/4
− 0.5 + 1/2
− 0.25 + 35
+ 0.4
To simplify this expression, I'll perform the operations in the following order: addition, subtraction, multiplication, and division.
1/4 - 0.5 + 1/2 - 0.25 + 35 + 0.4
First, let's add the fractions:
1/4 + 1/2 = 2/8 + 4/8 = 6/8 = 3/4
Now, let's add the decimals:
-0.5 - 0.25 + 35 + 0.4 = -0.75 + 35 + 0.4 = 34.65
Finally, let's add the fraction (3/4) and the decimal (34.65):
3/4 + 34.65
To add a fraction and a decimal, we need to convert the fraction to a decimal:
3/4 = 0.75
Now, we can add the decimals:
0.75 + 34.65 = 35.4
Thus, the simplified expression is 35.4.
Determine the value of the expression –5.45 + 4.12 –8.66.
To find the value of the expression –5.45 + 4.12 – 8.66, we can simply add the numbers together.
-5.45 + 4.12 - 8.66
This can be done by adding the numbers without considering their signs:
= (-5.45 + 4.12) - 8.66
= -1.33 - 8.66
= -9.99
Therefore, the value of the expression –5.45 + 4.12 – 8.66 is -9.99.
To find the temperature at 9:00 PM, we need to subtract 16.2 degrees from the temperature at noon (14°F).
The formula to find the temperature at 9:00 PM would be:
Temperature at 9:00 PM = Temperature at noon - Drop in temperature
Now let's calculate the temperature at 9:00 PM:
Temperature at 9:00 PM = 14°F - 16.2°F
Using basic subtraction, we can solve:
Temperature at 9:00 PM = -2.2°F
Therefore, the temperature at 9:00 PM in Antarctica was -2.2°F.