I want to compare the distances of two different stores from home. What key word shows that you are finding the difference between rational numbers?
37 answers
The key word that shows finding the difference between rational numbers is "compare."
Mark had a balance of −$11
in his checking account. The bank charged a $25 fee. What is the balance in the account?
in his checking account. The bank charged a $25 fee. What is the balance in the account?
To find the balance in Mark's account after the bank fee, we need to subtract the fee amount from the initial balance.
Initial balance = −$11
Fee charged by the bank = $25
To find the balance, we subtract the fee from the initial balance:
Balance = Initial balance - Fee
Balance = −$11 - $25
Subtracting a positive amount is the same as adding a negative amount, so we can rewrite the equation as:
Balance = −$11 + (−$25)
Adding the negative numbers:
Balance = −$36
Therefore, the balance in Mark's account after the bank fee is −$36.
Initial balance = −$11
Fee charged by the bank = $25
To find the balance, we subtract the fee from the initial balance:
Balance = Initial balance - Fee
Balance = −$11 - $25
Subtracting a positive amount is the same as adding a negative amount, so we can rewrite the equation as:
Balance = −$11 + (−$25)
Adding the negative numbers:
Balance = −$36
Therefore, the balance in Mark's account after the bank fee is −$36.
The water level of a river is below normal levels. Its water level is at 112
meters below sea level. During the summer, the river drops another 213
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.(1 point)
meters below sea level. During the summer, the river drops another 213
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.(1 point)
To determine the water level at the end of summer, we need to add the additional drop in the river to its initial level below sea level.
Initial water level below sea level = 112 meters
Additional drop during summer = 213 meters
To find the water level at the end of summer, we add the additional drop to the initial level:
Water level at the end of summer = Initial water level + Additional drop
Water level at the end of summer = (−112 meters) + (−213 meters)
Adding negative numbers:
Water level at the end of summer = −112 meters − 213 meters
Water level at the end of summer = −325 meters
Therefore, at the end of summer, the water level of the river is 325 meters below sea level.
Initial water level below sea level = 112 meters
Additional drop during summer = 213 meters
To find the water level at the end of summer, we add the additional drop to the initial level:
Water level at the end of summer = Initial water level + Additional drop
Water level at the end of summer = (−112 meters) + (−213 meters)
Adding negative numbers:
Water level at the end of summer = −112 meters − 213 meters
Water level at the end of summer = −325 meters
Therefore, at the end of summer, the water level of the river is 325 meters below sea level.
The rainfall in a town was 2.3 inches above normal in June. In July, the rainfall was 1.2 inches below normal. What was the difference in rainfall between the months?
To find the difference in rainfall between June and July, we need to subtract the rainfall in July from the rainfall in June.
June rainfall above normal = 2.3 inches
July rainfall below normal = 1.2 inches
To find the difference in rainfall, we subtract the July rainfall from the June rainfall:
Difference in rainfall = June rainfall - July rainfall
Difference in rainfall = 2.3 inches - (-1.2 inches)
Subtracting a negative is the same as adding a positive, so we can rewrite the equation as:
Difference in rainfall = 2.3 inches + 1.2 inches
Adding the positive numbers:
Difference in rainfall = 3.5 inches
Therefore, the difference in rainfall between June and July is 3.5 inches.
June rainfall above normal = 2.3 inches
July rainfall below normal = 1.2 inches
To find the difference in rainfall, we subtract the July rainfall from the June rainfall:
Difference in rainfall = June rainfall - July rainfall
Difference in rainfall = 2.3 inches - (-1.2 inches)
Subtracting a negative is the same as adding a positive, so we can rewrite the equation as:
Difference in rainfall = 2.3 inches + 1.2 inches
Adding the positive numbers:
Difference in rainfall = 3.5 inches
Therefore, the difference in rainfall between June and July is 3.5 inches.
A submarine was at a depth of 106.3 feet below sea level. After 5 hours, the submarine was at 481.2 feet below sea level. How far did the submarine travel?
To calculate the distance the submarine traveled, we need to find the difference between its initial depth and its final depth.
Initial depth = 106.3 feet below sea level
Final depth = 481.2 feet below sea level
To find the distance traveled, we subtract the initial depth from the final depth:
Distance traveled = Final depth - Initial depth
Distance traveled = 481.2 feet - 106.3 feet
Subtracting the depths, we have:
Distance traveled = 374.9 feet
Therefore, the submarine traveled a distance of 374.9 feet.
Initial depth = 106.3 feet below sea level
Final depth = 481.2 feet below sea level
To find the distance traveled, we subtract the initial depth from the final depth:
Distance traveled = Final depth - Initial depth
Distance traveled = 481.2 feet - 106.3 feet
Subtracting the depths, we have:
Distance traveled = 374.9 feet
Therefore, the submarine traveled a distance of 374.9 feet.
Which context describes a difference of rational numbers?
The context that describes a difference of rational numbers is when we are comparing or finding the numeric difference between two rational numbers. This can include scenarios such as finding the difference between two temperatures, distances, or quantities.
hich context describes a difference of rational numbers?(1 point)
Responses
determining the coldest temperature in a month
determining the coldest temperature in a month
finding the average of daily high temperatures
finding the average of daily high temperatures
comparing the daily high temperature and low temperature
comparing the daily high temperature and low temperature
recording the temperature hourly
Responses
determining the coldest temperature in a month
determining the coldest temperature in a month
finding the average of daily high temperatures
finding the average of daily high temperatures
comparing the daily high temperature and low temperature
comparing the daily high temperature and low temperature
recording the temperature hourly
The context that describes a difference of rational numbers is "comparing the daily high temperature and low temperature".
Which scenario about books represents finding the difference?(1 point)
Responses
finding the type of books in a store
finding the type of books in a store
finding the number of books remaining after a sale on books
finding the number of books remaining after a sale on books
finding the total number of books in a store when new books arrive
finding the total number of books in a store when new books arrive
finding the location of a book in a store
Responses
finding the type of books in a store
finding the type of books in a store
finding the number of books remaining after a sale on books
finding the number of books remaining after a sale on books
finding the total number of books in a store when new books arrive
finding the total number of books in a store when new books arrive
finding the location of a book in a store
The scenario that represents finding the difference in the context of books is "finding the number of books remaining after a sale on books."
The temperature on Monday is −4°C. On Tuesday, it is 13° colder. What is the temperature on Tuesday?(1 point)
Responses
9°C
9 degrees upper C
−9°C
negative 9 degrees upper C
−17°C
negative 17 degrees upper C
17°C
Responses
9°C
9 degrees upper C
−9°C
negative 9 degrees upper C
−17°C
negative 17 degrees upper C
17°C
To find the temperature on Tuesday, we need to subtract 13 from the temperature on Monday.
Temperature on Monday = -4°C
Temperature on Tuesday = Temperature on Monday - 13
Subtracting 13 from -4:
Temperature on Tuesday = -4°C - 13
Calculating the subtraction:
Temperature on Tuesday = -17°C
Therefore, the temperature on Tuesday is -17°C.
Temperature on Monday = -4°C
Temperature on Tuesday = Temperature on Monday - 13
Subtracting 13 from -4:
Temperature on Tuesday = -4°C - 13
Calculating the subtraction:
Temperature on Tuesday = -17°C
Therefore, the temperature on Tuesday is -17°C.
Ping dove off a 10 meter platform. He reached a depth of 6 meters in the water. What was the change in height?
To find the change in height, we need to calculate the difference between the height of the platform and the depth reached in the water.
Height of the platform = 10 meters
Depth reached in the water = 6 meters
The change in height is given by:
Change in height = Height of the platform - Depth reached in the water
Change in height = 10 meters - 6 meters
Calculating the difference:
Change in height = 4 meters
Therefore, the change in height for Ping was 4 meters.
Height of the platform = 10 meters
Depth reached in the water = 6 meters
The change in height is given by:
Change in height = Height of the platform - Depth reached in the water
Change in height = 10 meters - 6 meters
Calculating the difference:
Change in height = 4 meters
Therefore, the change in height for Ping was 4 meters.
A parasail is 120 of a meter above the water. Then, after 10 minutes, the parasail is 150 of a meter above the water. What is the change in height?(1 point)
To find the change in height, we need to calculate the difference between the initial height and the final height of the parasail.
Initial height = 120/100 = 1.2 meters above the water
Final height = 150/100 = 1.5 meters above the water
The change in height is given by:
Change in height = Final height - Initial height
Change in height = 1.5 meters - 1.2 meters
Calculating the difference:
Change in height = 0.3 meters
Therefore, the change in height for the parasail is 0.3 meters.
Initial height = 120/100 = 1.2 meters above the water
Final height = 150/100 = 1.5 meters above the water
The change in height is given by:
Change in height = Final height - Initial height
Change in height = 1.5 meters - 1.2 meters
Calculating the difference:
Change in height = 0.3 meters
Therefore, the change in height for the parasail is 0.3 meters.
A parasail is 120 of a meter above the water. Then, after 10 minutes, the parasail is 150 of a meter above the water. What is the change in height?(1 point)
Responses
7100 meter
Start Fraction 7 over 100 End Fraction meter
120 meter
Start Fraction 1 over 20 End Fraction meter
3100 meter
Start Fraction 3 over 100 End Fraction meter
150 meter
Start Fraction 1 over 50 End Fraction meter
Responses
7100 meter
Start Fraction 7 over 100 End Fraction meter
120 meter
Start Fraction 1 over 20 End Fraction meter
3100 meter
Start Fraction 3 over 100 End Fraction meter
150 meter
Start Fraction 1 over 50 End Fraction meter
To find the change in height, we subtract the initial height from the final height of the parasail.
Initial height = 120/100 = 1.2 meters above the water
Final height = 150/100 = 1.5 meters above the water
Change in height = Final height - Initial height
Change in height = 1.5 meters - 1.2 meters
Calculating the difference:
Change in height = 0.3 meters
Therefore, the change in height for the parasail is 0.3 meters.
Initial height = 120/100 = 1.2 meters above the water
Final height = 150/100 = 1.5 meters above the water
Change in height = Final height - Initial height
Change in height = 1.5 meters - 1.2 meters
Calculating the difference:
Change in height = 0.3 meters
Therefore, the change in height for the parasail is 0.3 meters.
can u put 0.3 in a fraction
Yes, 0.3 can be expressed as the fraction 3/10.
hich expression shows x and its opposite are 0?(1 point)
Responses
x+(1x)=0
x plus left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals 0
x+(−1x)=0
x plus left parenthesis negative Start Fraction 1 over x End Fraction right parenthesis equals 0
x+x=0
x plus x equals 0
x+(−x)=0
Responses
x+(1x)=0
x plus left parenthesis Start Fraction 1 over x End Fraction right parenthesis equals 0
x+(−1x)=0
x plus left parenthesis negative Start Fraction 1 over x End Fraction right parenthesis equals 0
x+x=0
x plus x equals 0
x+(−x)=0
The expression that shows x and its opposite are 0 is "x + (-x) = 0".
Which expression correctly shows the sum of opposite numbers?(1 point)
Responses
(−25)+25=50
left parenthesis negative 25 right parenthesis plus 25 equals 50
(−25)+(−25)=0
left parenthesis negative 25 right parenthesis plus left parenthesis negative 25 right parenthesis equals 0
(−25)+25=0
left parenthesis negative 25 right parenthesis plus 25 equals 0
(−25)+(−25)=−50
Responses
(−25)+25=50
left parenthesis negative 25 right parenthesis plus 25 equals 50
(−25)+(−25)=0
left parenthesis negative 25 right parenthesis plus left parenthesis negative 25 right parenthesis equals 0
(−25)+25=0
left parenthesis negative 25 right parenthesis plus 25 equals 0
(−25)+(−25)=−50
The expression that correctly shows the sum of opposite numbers is "(−25) + 25 = 0".
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
Responses
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
The situation that describes opposite quantities that, when combined, would equal 0 is: "A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?"
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $20 to a bank and a fee charged of $20.
A deposit of $20 to a bank and a fee charged of $20.
A withdrawal of $20 to a bank and a fee charged of $20
Responses
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A fee of $10 charged by a bank, a deposit of $10, and a withdrawal of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30.
A deposit of $20 to a bank and a fee charged of $20.
A deposit of $20 to a bank and a fee charged of $20.
A withdrawal of $20 to a bank and a fee charged of $20
The situation that describes opposite quantities that, when combined, would equal 0 is: "A deposit of $10 to a bank, a fee charged of $20, and a deposit of $30."
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
Eileen moves seven spaces forward, then she moves two spaces back in a game.
Eileen moves seven spaces forward, then she moves two spaces back in a game.
Eileen moves seven spaces forward, then she moves seven spaces back in a game.
Eileen moves seven spaces forward, then she moves seven spaces back in a game.
Sarah deposits $20 in an account and then deposits another $20.
Sarah deposits $20 in an account and then deposits another $20.
Sarah is charged a fee of $20 and withdraws $20.
Responses
Eileen moves seven spaces forward, then she moves two spaces back in a game.
Eileen moves seven spaces forward, then she moves two spaces back in a game.
Eileen moves seven spaces forward, then she moves seven spaces back in a game.
Eileen moves seven spaces forward, then she moves seven spaces back in a game.
Sarah deposits $20 in an account and then deposits another $20.
Sarah deposits $20 in an account and then deposits another $20.
Sarah is charged a fee of $20 and withdraws $20.
The situation that describes opposite quantities that, when combined, would equal 0 is: "Sarah is charged a fee of $20 and withdraws $20."
what-
The water level of a river is below normal levels. Its water level is at 1 1/2
meters below sea level. During the summer, the river drops another 2 1/3
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.(1 point)
meters below sea level. During the summer, the river drops another 2 1/3
meters below sea level. What is the water level at the end of summer? Remember, the elevation is below sea level. Account for this in your answer.(1 point)