Question
What other way can −4 be represented as a rational number?(1 point)
Responses
Responses
Answers
GPT 3.5
-4 can also be represented as the rational number -4/1.
Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)
GPT 3.5
The rational number that can be used to represent the number of points needed for Abraham to get an A- is 1/2.
Add 10.82+(−15.96).
GPT 3.5
To add 10.82 and -15.96, you simply add the two numbers together:
10.82 + (-15.96) = -5.14
10.82 + (-15.96) = -5.14
Use the additive inverse to find −492.89−(−871.78)
GPT 3.5
To find -492.89 - (-871.78) using the additive inverse, you can rewrite the expression as -492.89 + 871.78.
Adding the two numbers together:
-492.89 + 871.78 = 378.89
Adding the two numbers together:
-492.89 + 871.78 = 378.89
Determine the distance between −18.26 and −2.45 on a number line
GPT 3.5
To determine the distance between -18.26 and -2.45 on a number line, we can subtract the two numbers and take the absolute value of the result.
|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81
Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.
|-18.26 - (-2.45)| = |-18.26 + 2.45| = |-15.81| = 15.81
Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.
Solve the mathematical problem involving absolute value.
2- |1/3•-9|-5
2- |1/3•-9|-5
GPT 3.5
To solve the expression 2 - |1/3 * -9| - 5, we can first simplify the absolute value term and then evaluate the expression.
First, let's look at the absolute value term |1/3 * -9|:
|1/3 * -9| = |-3| = 3
Now we can substitute this value back into the original expression:
2 - |1/3 * -9| - 5 = 2 - 3 - 5 = -6
Therefore, the solution to the expression 2 - |1/3 * -9| - 5 is -6.
First, let's look at the absolute value term |1/3 * -9|:
|1/3 * -9| = |-3| = 3
Now we can substitute this value back into the original expression:
2 - |1/3 * -9| - 5 = 2 - 3 - 5 = -6
Therefore, the solution to the expression 2 - |1/3 * -9| - 5 is -6.
24-(-15)
GPT 3.5
To solve the expression 24 - (-15), we can simplify the subtraction involving the negative number:
24 - (-15) = 24 + 15
Now, we can add the two numbers together:
24 + 15 = 39
Therefore, the solution to the expression 24 - (-15) is 39.
24 - (-15) = 24 + 15
Now, we can add the two numbers together:
24 + 15 = 39
Therefore, the solution to the expression 24 - (-15) is 39.
17 4/9+5/9-8-10
GPT 3.5
To solve the expression 17 4/9 + 5/9 - 8 - 10, we first need to convert the mixed number into an improper fraction:
17 4/9 can be written as (9 * 17 + 4)/9 = 157/9
Now, we can substitute these values back into the original expression:
17 4/9 + 5/9 - 8 - 10 = 157/9 + 5/9 - 8 - 10
Next, we can combine like terms by adding/subtracting the fractions and the whole numbers:
(157/9 + 5/9) - 8 - 10 = (162/9) - 8 - 10
Now, we can simplify the fraction by dividing the numerator by the denominator:
162/9 = 18
Replacing this in our expression:
18 - 8 - 10 = 18 - 18
Finally, we subtract to find the result:
18 - 18 = 0
Therefore, the solution to the expression 17 4/9 + 5/9 - 8 - 10 is 0.
17 4/9 can be written as (9 * 17 + 4)/9 = 157/9
Now, we can substitute these values back into the original expression:
17 4/9 + 5/9 - 8 - 10 = 157/9 + 5/9 - 8 - 10
Next, we can combine like terms by adding/subtracting the fractions and the whole numbers:
(157/9 + 5/9) - 8 - 10 = (162/9) - 8 - 10
Now, we can simplify the fraction by dividing the numerator by the denominator:
162/9 = 18
Replacing this in our expression:
18 - 8 - 10 = 18 - 18
Finally, we subtract to find the result:
18 - 18 = 0
Therefore, the solution to the expression 17 4/9 + 5/9 - 8 - 10 is 0.
Which context describes a difference of rational numbers?(1 point)
Responses
The team’s score increased when scoring.
The team’s score increased when scoring.
The team’s score did not change during the game.
The team’s score did not change during the game.
A football player loses yards on a play.
A football player loses yards on a play.
A football player gains yards on a play.
A football player gains yards on a play.
Responses
The team’s score increased when scoring.
The team’s score increased when scoring.
The team’s score did not change during the game.
The team’s score did not change during the game.
A football player loses yards on a play.
A football player loses yards on a play.
A football player gains yards on a play.
A football player gains yards on a play.
GPT 3.5
A football player loses yards on a play.
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.
GPT 3.5
To find the change in temperature during the three hours from 9 a.m. to noon, we can subtract the temperature at 9 a.m. from the temperature at noon.
The equation to represent the change in temperature is:
Change in Temperature = Temperature at Noon - Temperature at 9 a.m.
Change in Temperature = (-1.6) - (-5.8)
Change in Temperature = -1.6 + 5.8
Change in Temperature = 4.2
The change in temperature during these three hours is 4.2 degrees Celsius.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.
The equation to represent the change in temperature is:
Change in Temperature = Temperature at Noon - Temperature at 9 a.m.
Change in Temperature = (-1.6) - (-5.8)
Change in Temperature = -1.6 + 5.8
Change in Temperature = 4.2
The change in temperature during these three hours is 4.2 degrees Celsius.
This means that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.