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–?
Add (−12) and (−15)
The rational number that can be used to represent the number of points needed for Abraham to get an A– is 0.5.
Place the following numbers in order as they would appear on a number line, left to right: −2.0, 0.25, −1.02, 1.98.
The numbers, in order from left to right on a number line, are:
-2.0, -1.02, 0.25, 1.98
Find the sum of p and q if p=3/4 and q=−1 1/4. Reduce your answer to lowest terms.
To add -12 and -15, simply add the two numbers together:
-12 + (-15) = -12 - 15 = -27
So, the sum of -12 and -15 is -27.
Add 10.82+(−15.96)
To add 10.82 and -15.96, simply add the two numbers together:
10.82 + (-15.96) = -5.14
So, the sum of 10.82 and -15.96 is -5.14.
Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)
Responses
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
The correct response would be:
Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?
To find the temperature now, we need to subtract 18.6 from 13.
13 - 18.6 = -5.6
So, the temperature now is -5.6°C.
Use the additive inverse to find −492.89−(−871.78)
To use the additive inverse to find -492.89 - (-871.78), we can change the subtraction problem into an addition problem by changing the sign of the second number.
So, -492.89 - (-871.78) becomes -492.89 + 871.78.
Now, we can add these numbers together:
-492.89 + 871.78 = 378.89
Thus, -492.89 - (-871.78) is equal to 378.89.
Determine the distance between −18.26 and −2.45 on a number line.
To determine the distance between -18.26 and -2.45 on a number line, we need to find the absolute value of the difference between the two numbers.
|-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.
Subtract 24−(−15)
To subtract 24 - (-15), we can change the subtraction into addition by changing the sign of the second number:
24 - (-15) = 24 + 15
Now, we can add the two numbers together:
24 + 15 = 39
Therefore, 24 - (-15) is equal to 39.
What is 1749 + 59 − 8 − 10?
To find 1749 + 59 - 8 - 10, we can combine the numbers using the order of operations (PEMDAS):
1749 + 59 - 8 - 10 = 1808 - 8 - 10 = 1800 - 10 = 1790
Therefore, 1749 + 59 - 8 - 10 equals 1790.
What is 17 4/9 + 5/9 − 8 − 10?
To solve 17 4/9 + 5/9 - 8 - 10, we need to first simplify the fraction part of the expression:
17 4/9 + 5/9 = (17 * 9 + 4)/9 + 5/9 = (153 + 4)/9 + 5/9 = 157/9 + 5/9 = 162/9
Now, let's combine all the terms:
162/9 - 8 - 10 = 162/9 - (8 * 9)/9 - (10 * 9)/9 = (162 - 72 - 90)/9 = 0/9 = 0
Therefore, 17 4/9 + 5/9 - 8 - 10 equals 0.
Which context describes a difference of rational numbers?(1 point)
Responses
The team’s score did not change during the game.
The team’s score did not change during the game.
The team’s score increased when scoring.
The team’s score increased when scoring.
A football player gains yards on a play.
A football player gains yards on a play.
A football player loses yards on a play.
A football player loses yards on a play.
The correct response would be:
A football player loses yards on a play.
Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?
To find how far Joey was from home, we need to calculate the difference between the distance he walked east and the distance he walked west.
Joey walked east for 15 2/3 meters and then walked west for 21 3/4 meters. To find the difference between these distances, we subtract:
15 2/3 - 21 3/4
First, let's convert the mixed numbers to improper fractions:
15 2/3 = (3 * 15 + 2) / 3 = 47/3
21 3/4 = (4 * 21 + 3) / 4 = 87/4
Now, let's subtract the fractions:
47/3 - 87/4
To subtract these fractions, we need to find a common denominator, which in this case is 12:
47/3 = (47 * 4) / (3 * 4) = 188/12
87/4 = (87 * 3) / (4 * 3) = 261/12
Now, we can subtract the fractions:
188/12 - 261/12 = -73/12
This means that Joey is 73/12 meters west of his home.
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
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 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 10,000 feet and then ascends 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?
A plane ascends to 15,000 feet and then ascends 15,000 feet. How many feet above the ground is the plane?
The correct response would be:
A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
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
To find the change in temperature, we need to subtract the temperature at 9 a.m. from the temperature at noon.
Let T represent the change in temperature during the three hours. The equation to represent this is:
−1.6 - (-5.8) = T
Simplifying the equation:
−1.6 + 5.8 = T
4.2 = T
This means that the change in temperature during the three hours is 4.2 degrees Celsius.
In other words, the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon.
Solve the mathematical problem involving absolute value.
2−|1/3⋅−9|−5
Solve the mathematical problem involving absolute value.
2−|1/3⋅−9|−5
To find the sum of p and q, we need to add 3/4 and -1 1/4.
First, let's convert -1 1/4 to an improper fraction. Subtract 1 from -1 1/4 to get -2/4, then add the numerator of the fraction, 1, to get -2/4 + 1/4 = -1/4.
Now, we can add the fractions:
3/4 + (-1/4) = 3/4 - 1/4 = (3 - 1) / 4 = 2/4 = 1/2
The sum of p and q is 1/2.