Evaluate this expression.
75.5 − 32.55
11 answers
42.95
Evaluate this expression.
42.86 − 23.42
42.86 − 23.42
The evaluation of the expression 42.86 − 23.42 is 19.44
Evaluate the numerical expression.
1/2 - (- 3/4)
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
1/2 - (- 3/4)
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
To evaluate the expression 1/2 - (- 3/4), we can simplify it as follows:
1/2 - (- 3/4)
= 1/2 + 3/4
To add these fractions, we need to find a common denominator. In this case, the lowest common denominator is 4.
= (1*2)/(2*2) + (3*1)/(4*1)
= 2/4 + 3/4
= 5/4
Therefore, the value of the expression 1/2 - (- 3/4) is 5/4.
The correct answer is D) 5/4.
1/2 - (- 3/4)
= 1/2 + 3/4
To add these fractions, we need to find a common denominator. In this case, the lowest common denominator is 4.
= (1*2)/(2*2) + (3*1)/(4*1)
= 2/4 + 3/4
= 5/4
Therefore, the value of the expression 1/2 - (- 3/4) is 5/4.
The correct answer is D) 5/4.
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?
To find the temperature at 9:00 PM, we need to subtract 16.2 degrees from the initial temperature of 14°F.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
Simplify.
7 2/3+−5 1/4
7 2/3+−5 1/4
To simplify the expression 7 2/3 + (-5 1/4), we can convert the mixed numbers into improper fractions and then perform the addition.
First, we convert 7 2/3 to an improper fraction:
7 * 3 + 2 = 21 + 2 = 23
So, 7 2/3 as an improper fraction is 23/3.
Next, we convert -5 1/4 to an improper fraction:
-5 * 4 + 1 = -20 + 1 = -19
So, -5 1/4 as an improper fraction is -19/4.
Now, we can add the fractions:
23/3 + (-19/4)
To add fractions, we need to find a common denominator. In this case, the lowest common denominator is 12.
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
So, the expression becomes:
92/12 + (-57/12)
Now, we can combine the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, the simplified expression is 35/12.
First, we convert 7 2/3 to an improper fraction:
7 * 3 + 2 = 21 + 2 = 23
So, 7 2/3 as an improper fraction is 23/3.
Next, we convert -5 1/4 to an improper fraction:
-5 * 4 + 1 = -20 + 1 = -19
So, -5 1/4 as an improper fraction is -19/4.
Now, we can add the fractions:
23/3 + (-19/4)
To add fractions, we need to find a common denominator. In this case, the lowest common denominator is 12.
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
So, the expression becomes:
92/12 + (-57/12)
Now, we can combine the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, the simplified expression is 35/12.
Simplify.
7 2/3+−5 1/4
A -2
B 2 5/12
C 2 11/12
D 12 11/12
7 2/3+−5 1/4
A -2
B 2 5/12
C 2 11/12
D 12 11/12
To simplify the expression 7 2/3 + (-5 1/4), we can convert the mixed numbers into improper fractions and then perform the addition.
First, we convert 7 2/3 to an improper fraction:
7 * 3 + 2 = 21 + 2 = 23
So, 7 2/3 as an improper fraction is 23/3.
Next, we convert -5 1/4 to an improper fraction:
-5 * 4 + 1 = -20 + 1 = -19
So, -5 1/4 as an improper fraction is -19/4.
Now, we can add the fractions:
23/3 + (-19/4)
To add fractions, we need to find a common denominator. In this case, the lowest common denominator is 12.
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
So, the expression becomes:
92/12 + (-57/12)
Now, we can combine the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, the simplified expression is 2 11/12.
The correct answer is C) 2 11/12.
First, we convert 7 2/3 to an improper fraction:
7 * 3 + 2 = 21 + 2 = 23
So, 7 2/3 as an improper fraction is 23/3.
Next, we convert -5 1/4 to an improper fraction:
-5 * 4 + 1 = -20 + 1 = -19
So, -5 1/4 as an improper fraction is -19/4.
Now, we can add the fractions:
23/3 + (-19/4)
To add fractions, we need to find a common denominator. In this case, the lowest common denominator is 12.
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
So, the expression becomes:
92/12 + (-57/12)
Now, we can combine the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, the simplified expression is 2 11/12.
The correct answer is C) 2 11/12.