Which of the following is a responsibility of U.S. citizens?
(1 point)
O running for public office
• worshiping freely
O serving on a jury
• supporting human rights around the world
53 answers
All of the options listed are responsibilities of U.S. citizens.
You are asked to find the sum by using fractions. Which expression could you use?
Responses
A 1/4
− 1/2
+ 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 2/5
B 1/4
− 1/4
+ 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
C 1/4
− 1/2
+ 1/2
− 1/4
+ 4/5
+ 2/5
1/4 − 1/2 + 1/2 − 1/4 + 4/5 + 2/5
D 1/4
− 1/2
− 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/2 − 1/2 − 1/4 + 3/5 + 2/5
Responses
A 1/4
− 1/2
+ 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/2 + 1/2 − 1/4 + 3/5 + 2/5
B 1/4
− 1/4
+ 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
C 1/4
− 1/2
+ 1/2
− 1/4
+ 4/5
+ 2/5
1/4 − 1/2 + 1/2 − 1/4 + 4/5 + 2/5
D 1/4
− 1/2
− 1/2
− 1/4
+ 3/5
+ 2/5
1/4 − 1/2 − 1/2 − 1/4 + 3/5 + 2/5
The correct expression to find the sum using fractions is:
B 1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
B 1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
1/4 − 1/4 + 1/2 − 1/4 + 3/5 + 2/5
1/4
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
To find the sum of the given expression, we can add the fractions and decimals separately:
1/4 + 1/2 + 3/5 is the sum of the fractions, which can be simplified to (5/20) + (10/20) + (12/20) = 27/20.
-0.5 + 0.4 is the sum of the decimals, which equals -0.1.
Therefore, the sum of the expression is 27/20 - 0.1.
1/4 + 1/2 + 3/5 is the sum of the fractions, which can be simplified to (5/20) + (10/20) + (12/20) = 27/20.
-0.5 + 0.4 is the sum of the decimals, which equals -0.1.
Therefore, the sum of the expression is 27/20 - 0.1.
Find the sum.
Responses
A 00
B 11
C 112
1 1 2
D 12
Responses
A 00
B 11
C 112
1 1 2
D 12
Based on the given responses, it is not clear what sum is being referred to. Please provide additional information or context for me to assist you further.
Find the sum.
Responses
A 00
B 1
C 1 1/2
D 1/2
Responses
A 00
B 1
C 1 1/2
D 1/2
Based on the given responses, the correct answer for finding the sum is not provided. Please provide the correct options or provide additional information or context for me to assist you further.
1/4
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
Find the sum.
Responses
A 00
B 1
C 1 1/2
D 1/2
− 0.5 + 1/2
− 0.25 + 3/5
+ 0.4
Find the sum.
Responses
A 00
B 1
C 1 1/2
D 1/2
To find the sum of the expression:
1/4 + (-0.5) + 1/2 + (-0.25) + 3/5 + 0.4
We can first add the fractions:
1/4 + 1/2 = (1/4 + 2/4) = 3/4
Next, we can add the decimals:
-0.5 + (-0.25) = -0.75
Combining all the terms, the sum is:
3/4 - 0.75 + 3/5 + 0.4 = 0.75 - 0.75 + 0.6 = 0.6.
Therefore, the correct answer is:
D) 1/2.
1/4 + (-0.5) + 1/2 + (-0.25) + 3/5 + 0.4
We can first add the fractions:
1/4 + 1/2 = (1/4 + 2/4) = 3/4
Next, we can add the decimals:
-0.5 + (-0.25) = -0.75
Combining all the terms, the sum is:
3/4 - 0.75 + 3/5 + 0.4 = 0.75 - 0.75 + 0.6 = 0.6.
Therefore, the correct answer is:
D) 1/2.
32 + (−72.1)
Responses
Responses
32 + (-72.1) equals -40.1.
7.829 − 3.21
7.829 - 3.21 equals 4.619.
7 2/3+−5 1/4
To add 7 2/3 and -5 1/4, we need to convert the mixed numbers to improper fractions.
7 2/3 is equivalent to (3*7 + 2)/3 = 23/3.
-5 1/4 is equivalent to (4*-5 + 1)/4 = -21/4.
Now we can add the fractions:
23/3 + (-21/4) = (92/12) + (-63/12) = 29/12.
Therefore, the sum of 7 2/3 and -5 1/4 is 29/12.
7 2/3 is equivalent to (3*7 + 2)/3 = 23/3.
-5 1/4 is equivalent to (4*-5 + 1)/4 = -21/4.
Now we can add the fractions:
23/3 + (-21/4) = (92/12) + (-63/12) = 29/12.
Therefore, the sum of 7 2/3 and -5 1/4 is 29/12.
42.86 − 23.42
42.86 - 23.42 equals 19.44.
4 1/2−2−5 2/3
To subtract 4 1/2 from 5 2/3, we need to convert the mixed numbers to improper fractions.
4 1/2 is equivalent to (2*4 + 1)/2 = 9/2.
5 2/3 is equivalent to (3*5 + 2)/3 = 17/3.
Now we can subtract the fractions:
9/2 - 17/3 = (27/6) - (34/6) = -7/6.
Therefore, the difference of 4 1/2 and 5 2/3 is -7/6.
4 1/2 is equivalent to (2*4 + 1)/2 = 9/2.
5 2/3 is equivalent to (3*5 + 2)/3 = 17/3.
Now we can subtract the fractions:
9/2 - 17/3 = (27/6) - (34/6) = -7/6.
Therefore, the difference of 4 1/2 and 5 2/3 is -7/6.
try again
To subtract 4 1/2 from 5 2/3, we need to find a common denominator for 2 and 3, which is 6.
4 1/2 is equivalent to (4 * 2 + 1) / 2 = 9/2.
5 2/3 is equivalent to (3 * 5 + 2) / 3 = 17/3.
Now, we can rewrite the expression with a common denominator:
9/2 - 17/3 = (9/2) * (3/3) - (17/3) * (2/2) = 27/6 - 34/6.
Therefore, the difference of 4 1/2 and 5 2/3 is (27 - 34) / 6 = -7/6.
4 1/2 is equivalent to (4 * 2 + 1) / 2 = 9/2.
5 2/3 is equivalent to (3 * 5 + 2) / 3 = 17/3.
Now, we can rewrite the expression with a common denominator:
9/2 - 17/3 = (9/2) * (3/3) - (17/3) * (2/2) = 27/6 - 34/6.
Therefore, the difference of 4 1/2 and 5 2/3 is (27 - 34) / 6 = -7/6.
4 1/2 − 2 − 5 2/3
To subtract 4 1/2 from 5 2/3, we need to find a common denominator for the fractions involved.
The common denominator for 2 and 3 is 6.
Converting the mixed numbers to improper fractions:
4 1/2 = (8 + 1) / 2 = 9/2
5 2/3 = (15 + 2) / 3 = 17/3
Now, we rewrite the expression with the common denominators:
9/2 - 2 - 17/3
To subtract these fractions, we need to find a common denominator for 2 and 3, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17 * 2/2) / 3
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6
Simplifying the numerator:
(-13) / 6
Therefore, the difference of 4 1/2 - 2 - 5 2/3 is -13/6.
The common denominator for 2 and 3 is 6.
Converting the mixed numbers to improper fractions:
4 1/2 = (8 + 1) / 2 = 9/2
5 2/3 = (15 + 2) / 3 = 17/3
Now, we rewrite the expression with the common denominators:
9/2 - 2 - 17/3
To subtract these fractions, we need to find a common denominator for 2 and 3, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17 * 2/2) / 3
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6
Simplifying the numerator:
(-13) / 6
Therefore, the difference of 4 1/2 - 2 - 5 2/3 is -13/6.
Evaluate 4 1/2−2−5 2/3
To evaluate 4 1/2 - 2 - 5 2/3, we simplify the expression step-by-step:
First, convert the mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now we can rewrite the expression:
9/2 - 2 - 17/3
To subtract these fractions, we need to find a common denominator for 2 and 3, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17 * 2/2) / 3
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6
Simplifying the numerator:
(-13) / 6
Therefore, the evaluated value of 4 1/2 - 2 - 5 2/3 is -13/6.
First, convert the mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now we can rewrite the expression:
9/2 - 2 - 17/3
To subtract these fractions, we need to find a common denominator for 2 and 3, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17 * 2/2) / 3
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6
Simplifying the numerator:
(-13) / 6
Therefore, the evaluated value of 4 1/2 - 2 - 5 2/3 is -13/6.
wrong
I apologize for the confusion. Let's correct the previous answer.
To subtract mixed numbers, we need to convert them to improper fractions with a common denominator.
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now we can rewrite the expression:
9/2 - 2 - 17/3
To subtract these fractions, we need a common denominator, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17/3) * (2/2)
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6 = -13/6
Therefore, the evaluated value of 4 1/2 - 2 - 5 2/3 is -13/6.
To subtract mixed numbers, we need to convert them to improper fractions with a common denominator.
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Now we can rewrite the expression:
9/2 - 2 - 17/3
To subtract these fractions, we need a common denominator, which is 6.
Multiplying the fractions to have the same denominator:
(9/2) * (3/3) - (2 * 3/3) - (17/3) * (2/2)
This simplifies to:
27/6 - 6/6 - 34/6
Combining the fractions:
(27 - 6 - 34) / 6 = -13/6
Therefore, the evaluated value of 4 1/2 - 2 - 5 2/3 is -13/6.
75.5 − 32.55
75.5 - 32.55 equals 42.95.
1/2
− (−3/4
)
− (−3/4
)
1/2 - (-3/4)
When subtracting a negative fraction, it is equivalent to adding the positive value of that fraction.
1/2 + 3/4
To add these fractions, we need to find a common denominator, which in this case is 4.
The fractions have the same denominator, so we can add the numerators:
(1 + 3)/4 = 4/4 = 1.
Therefore, the result of 1/2 - (-3/4) is 1.
When subtracting a negative fraction, it is equivalent to adding the positive value of that fraction.
1/2 + 3/4
To add these fractions, we need to find a common denominator, which in this case is 4.
The fractions have the same denominator, so we can add the numerators:
(1 + 3)/4 = 4/4 = 1.
Therefore, the result of 1/2 - (-3/4) is 1.
1/2 - (-3/4)
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
To solve 1/2 - (-3/4), we can rewrite it as:
1/2 + 3/4
To add these fractions, we need to find a common denominator, which is 4.
1/2 is equivalent to 2/4.
Now we can add the fractions:
2/4 + 3/4 = 5/4.
Therefore, the correct answer is:
D) 5/4.
1/2 + 3/4
To add these fractions, we need to find a common denominator, which is 4.
1/2 is equivalent to 2/4.
Now we can add the fractions:
2/4 + 3/4 = 5/4.
Therefore, 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?
Responses
A –2.2°F–2.2°F
B 2.2°F2.2°F
C –30.2°F–30.2°F
D 30.2°F
Responses
A –2.2°F–2.2°F
B 2.2°F2.2°F
C –30.2°F–30.2°F
D 30.2°F
To find the temperature at 9:00 PM, we need to subtract the temperature drop of 16.2 degrees from the noon temperature of 14°F.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was:
A) -2.2°F
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was:
A) -2.2°F
5.36 × -3.1
5.36 multiplied by -3.1 is equal to -16.616.
−1/6
÷ 2/9
÷ 2/9
To divide -1/6 by 2/9, we multiply by the reciprocal of the second fraction.
Reciprocal of 2/9 is 9/2.
So, we have: (-1/6) * (9/2)
Multiply the numerators to get the new numerator and the denominators to get the new denominator:
(-1 * 9) / (6 * 2) = -9/12
The fraction -9/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-9/12 = (-9/3) / (12/3) = -3/4
Therefore, the result of -1/6 ÷ 2/9 is:
-3/4.
Reciprocal of 2/9 is 9/2.
So, we have: (-1/6) * (9/2)
Multiply the numerators to get the new numerator and the denominators to get the new denominator:
(-1 * 9) / (6 * 2) = -9/12
The fraction -9/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-9/12 = (-9/3) / (12/3) = -3/4
Therefore, the result of -1/6 ÷ 2/9 is:
-3/4.
−0.539 ÷ (−0.11) =
To divide -0.539 by -0.11, we can use the division operator:
-0.539 ÷ (-0.11) = 4.9
Therefore, -0.539 ÷ (-0.11) is equal to 4.9.
-0.539 ÷ (-0.11) = 4.9
Therefore, -0.539 ÷ (-0.11) is equal to 4.9.
−2 1/7÷−1/2
To divide -2 1/7 by -1/2, we first need to convert the mixed number to an improper fraction.
-2 1/7 = (-2 * 7 + 1)/7 = (-14 + 1)/7 = -13/7
Now, we can rewrite the expression:
-13/7 ÷ -1/2
To divide fractions, we multiply by the reciprocal of the second fraction.
-13/7 * -2/1 = (13/7) * (2/1)
Multiplying the numerators and denominators:
(13 * 2)/(7 * 1) = 26/7
Therefore, -2 1/7 ÷ -1/2 is equal to 26/7.
-2 1/7 = (-2 * 7 + 1)/7 = (-14 + 1)/7 = -13/7
Now, we can rewrite the expression:
-13/7 ÷ -1/2
To divide fractions, we multiply by the reciprocal of the second fraction.
-13/7 * -2/1 = (13/7) * (2/1)
Multiplying the numerators and denominators:
(13 * 2)/(7 * 1) = 26/7
Therefore, -2 1/7 ÷ -1/2 is equal to 26/7.
−2 1/7÷ −1/2
To divide -2 1/7 by -1/2, we need to convert the mixed number to an improper fraction.
-2 1/7 = (-2 * 7 + 1)/7 = (-14 + 1)/7 = -13/7
Now, we can rewrite the expression as a division problem:
-13/7 ÷ -1/2
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-13/7) * (-2/1) = (13/7) * (2/1)
Multiplying the numerators and denominators:
(13 * 2) / (7 * 1) = 26/7
Therefore, -2 1/7 ÷ -1/2 = 26/7.
-2 1/7 = (-2 * 7 + 1)/7 = (-14 + 1)/7 = -13/7
Now, we can rewrite the expression as a division problem:
-13/7 ÷ -1/2
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-13/7) * (-2/1) = (13/7) * (2/1)
Multiplying the numerators and denominators:
(13 * 2) / (7 * 1) = 26/7
Therefore, -2 1/7 ÷ -1/2 = 26/7.
Responses
A −1/17
− 1/17
B 1/7
1/7
C 4/17
4/17
D 3/34
A −1/17
− 1/17
B 1/7
1/7
C 4/17
4/17
D 3/34
The division of -2 1/7 by -1/2 is equal to 26/7.
None of the provided responses match 26/7. Please double-check the given options.
None of the provided responses match 26/7. Please double-check the given options.
-2/17 ÷ -1/2
A −1/17
− 1/17
B 1/7
1/7
C 4/17
4/17
D 3/34
A −1/17
− 1/17
B 1/7
1/7
C 4/17
4/17
D 3/34
To divide -2/17 by -1/2, we multiply the first fraction by the reciprocal of the second fraction.
(-2/17) ÷ (-1/2)
(-2/17) * (2/-1)
Multiplying the numerators and denominators:
(-2 * 2) / (17 * -1)
(-4) / (-17)
When dividing negative numbers, the result is positive:
4/17
Therefore, -2/17 ÷ -1/2 is equal to 4/17. The correct answer is:
C) 4/17.
(-2/17) ÷ (-1/2)
(-2/17) * (2/-1)
Multiplying the numerators and denominators:
(-2 * 2) / (17 * -1)
(-4) / (-17)
When dividing negative numbers, the result is positive:
4/17
Therefore, -2/17 ÷ -1/2 is equal to 4/17. The correct answer is:
C) 4/17.
(2.5)(−1.3) =
To calculate the product of 2.5 and -1.3, multiply the two numbers together:
2.5 * -1.3 = -3.25
Therefore, (2.5)(-1.3) equals -3.25.
2.5 * -1.3 = -3.25
Therefore, (2.5)(-1.3) equals -3.25.