The temperature in Antarctica at noon is 14°F. By 9:00PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00PM?
The temperature at 9:00 PM would be 14°F - 16.2°F = -2.2°F.
Consider this expression:
1/4 − 0.5 + 1/2 − 0.25 + 3/5+ 0.4
Question 1
You are asked to find the sum by using fractions. Which expression could you use?
To find the sum by using fractions, you can use the expression:
1/4 + 1/2 + 3/5.
then find the sum
To find the sum of 1/4 + 1/2 + 3/5, we need to find a common denominator for the fractions. The least common denominator (LCD) for 4, 2, and 5 is 20.
Now, we can rewrite the fractions with the common denominator:
(1/4) * (5/5) + (1/2) * (10/10) + (3/5) * (4/4)
= 5/20 + 10/20 + 12/20
Combining the numerators, we get:
= (5 + 10 + 12) / 20
= 27/20
Therefore, the sum of 1/4 + 1/2 + 3/5 is 27/20.
simplify
To simplify the fraction 27/20, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 9. Then, we can divide both the numerator and denominator by 9.
27 ÷ 9 = 3
20 ÷ 9 = 2 remainder 2
Therefore, 27/20 simplifies to
3 + 2/20
Since 2/20 can be simplified further by dividing both numerator and denominator by 2, we get:
3 + 1/10.
So, 27/20 simplifies to 3 + 1/10.
the options are
0
1
1 1/2
1/2
To simplify the fraction 27/20, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 1. Then, we can divide both the numerator and denominator by 1.
27 ÷ 1 = 27
20 ÷ 1 = 20
Therefore, 27/20 cannot be simplified any further.
Thus, the simplified fraction is 27/20.
None of the given options (0, 1, 1 1/2, 1/2) match the simplified fraction.
To find the temperature at 9:00PM, we need to subtract 16.2 degrees from the temperature at noon.
First, let's convert the temperature from Fahrenheit to Celsius, as Celsius is the commonly used unit of measurement for temperature in scientific calculations.
To convert from Fahrenheit to Celsius, we can use the formula:
C = (F - 32) × 5/9
So, let's convert the noon temperature from Fahrenheit to Celsius:
C_noon = (14 - 32) × 5/9
= -18.89°C
Now, let's subtract 16.2 degrees from the noon temperature to find the temperature at 9:00PM:
C_9PM = C_noon - 16.2
= -18.89 - 16.2
= -35.09°C
Therefore, the temperature at 9:00PM in Antarctica was approximately -35.09°C.