Question

Find the sum of p and q if p=34 and q=−114. Reduce your answer to lowest terms.(1 point)
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Add (−12) and (−15)
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Add 10.82+(−15.96).
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Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?
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roblem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?
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Use the additive inverse to find −492.89−(−871.78).
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Determine the distance between −18.26 and −2.45 on a number line.
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Subtract 24−(−15).
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What is 1749 + 59 − 8 − 10?
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What is 17 4/9 + 5/9 − 8 − 10?
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Question
Which context describes a difference of rational numbers?
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Joey walked east for 1523 meters from home. Then, he walked west for 2134 meters. How far was Joey from home?
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Which situation describes opposite quantities that when combined would equal 0?
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Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses

A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?

A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 10,000 feet. How many feet above the ground is the plane?

A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?

A plane ascends to 10,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
Answered by bot1233343
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.
Answered by GPT 3.5
To find the sum of p and q, we simply add the two numbers together:

p + q = 34 + (-114)

To add these two numbers, we line up the digits and add:

34
+ (-114)
-------
-80

So, the sum of p and q is -80.

However, the question asks to reduce the answer to lowest terms. Since -80 is already in its simplest form, we do not need to reduce it any further.

Therefore, the sum of p and q, reduced to lowest terms, is -80.
Answered by GPT 3.5
To add -12 and -15, simply add the two numbers together:

-12 + (-15) = -27

Therefore, the sum of -12 and -15 is -27.
Answered by GPT 3.5
To add 10.82 and -15.96, simply add the two numbers together:

10.82 + (-15.96) = -5.14

Therefore, the sum of 10.82 and -15.96 is -5.14.
Answered by GPT 3.5
A real-world problem that could be solved with the sum 102.50 + (-39.95) is a situation where someone made a purchase and received a discount or returned an item.

For example, let's say you bought a pair of shoes for $102.50. However, you later returned the shoes and received a refund of $39.95. You can use the sum 102.50 + (-39.95) to find out the final amount of money you paid or received back.

In this case, the sum would give you the result of $62.55. So, the real-world problem that could be solved with this sum is determining the net amount of money involved in a purchase and return transaction.
Answered by GPT 3.5
To find the current temperature, we need to subtract the change in temperature from the temperature of yesterday.

Temperature now = Temperature yesterday - Change in temperature

Temperature now = 13°C - (-18.6°C)

When subtracting a negative number, it is equivalent to adding the positive value:

Temperature now = 13°C + 18.6°C

Temperature now = 31.6°C

Therefore, the current temperature is 31.6°C.
Answered by GPT 3.5
To find the result of the expression -492.89 - (-871.78) using the additive inverse, we can rewrite it as -492.89 + 871.78.

Now we can add the two numbers together:

-492.89 + 871.78 = 378.89

Therefore, the result of -492.89 - (-871.78) using the additive inverse is 378.89.
Answered by GPT 3.5
To determine the distance between -18.26 and -2.45 on a number line, we need to find the absolute difference between the two values.

Absolute difference = |(-18.26) - (-2.45)|

When subtracting a negative number, it is equivalent to adding the positive value:

Absolute difference = |(-18.26) + 2.45|

Absolute difference = |-18.26 + 2.45|

Absolute difference = |-15.81|

The absolute value of -15.81 is 15.81.

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81 units.
Answered by GPT 3.5
To subtract 24 - (-15), we can rewrite the expression as 24 + 15:

24 - (-15) = 24 + 15

Now we can add the two numbers together:

24 + 15 = 39

Therefore, the result of 24 - (-15) is 39.
Answered by GPT 3.5
To calculate 1749 + 59 - 8 - 10, we add and subtract the numbers in the given order:

1749 + 59 - 8 - 10 = 1808 - 8 - 10

Next, we perform the indicated substractions:

1808 - 8 - 10 = 1800 - 10

Finally, we calculate the last subtraction:

1800 - 10 = 1790

Therefore, 1749 + 59 - 8 - 10 equals 1790.
Answered by GPT 3.5
To calculate 17 4/9 + 5/9 - 8 - 10, we first convert the mixed number to an improper fraction:

17 4/9 = 9(17) + 4/9 = 153/9 + 4/9 = 157/9

Now we can add and subtract the numbers:

157/9 + 5/9 - 8 - 10

Combining like terms:

(157/9 + 5/9) - 8 - 10 = 162/9 - 8 - 10

Next, we perform the subtraction:

162/9 - 8 - 10 = (162 - 8*9 - 10*9)/9 = (162 - 72 - 90)/9 = (162 - 162)/9 = 0/9 = 0

Therefore, 17 4/9 + 5/9 - 8 - 10 equals 0.
Answered by GPT 3.5
A context that describes a difference of rational numbers is when we are comparing two quantities or values and determining the numerical gap or separation between them. This can involve situations such as finding the difference in temperatures, distances, or prices. The difference between two rational numbers is the result obtained when subtracting one number from the other.
Answered by GPT 3.5
To find how far Joey was from home, we need to calculate the total displacement from the starting point.

Joey walked east for 1523 meters, which we can consider as a positive displacement.

Joey then walked west for 2134 meters, which we can consider as a negative displacement.

To find the total displacement, we subtract the westward displacement from the eastward displacement:

1523 - 2134 = -611

The negative sign indicates that Joey is 611 meters west of the starting point, meaning he is 611 meters away from home.

Therefore, Joey is 611 meters away from home.
Answered by GPT 3.5
A situation that describes opposite quantities that, when combined, would equal 0 is when we have positive and negative values that cancel each other out or balance each other.

For example:

-5 + 5 = 0

In this situation, -5 and +5 are opposite quantities, and when combined, they result in a sum of 0.

Similarly:

-10 + 10 = 0

Again, in this case, -10 and +10 are opposite quantities, and when added together, they give a total of 0.

Therefore, any situation where we have opposite quantities that, when combined, result in a sum of 0 describes this scenario.
Answered by GPT 3.5
The situation that describes opposite quantities that, when combined, would equal 0 is:

"A plane ascends to 15,000 feet and then descends 15,000 feet."

In this scenario, the plane starts at ground level, ascends to 15,000 feet, and then descends back down by the same amount, resulting in a total change in altitude of 0. Therefore, the plane would be at the same level as the ground and 0 feet above the ground.
Answered by GPT 3.5
To find the change in temperature during the three hours from 9 a.m. to noon, we subtract the initial temperature from the final temperature.

Change in temperature = Final temperature - Initial temperature

Let's denote the initial temperature as T1 and the final temperature as T2.

T1 = -5.8 degrees Celsius
T2 = -1.6 degrees Celsius

Change in temperature = T2 - T1

Substituting the values:

Change in temperature = (-1.6) - (-5.8)

Simplifying:

Change in temperature = -1.6 + 5.8

Change in temperature = 4.2 degrees Celsius

Therefore, 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.