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?(1 point)
Responses
home
home
different
different
distance
distance
compare
compare
Mark had a balance of −$11 in his checking account. The bank charged a $25 fee. What is the balance in the account?
To find the new balance in Mark's account, we need to subtract the fee amount from his initial balance.
Initial balance: -$11
Fee amount: $25
Balance after fee = Initial balance - Fee amount
Balance after fee = -$11 - $25
Balance after fee = -$36
Therefore, the balance in Mark's account after the $25 fee is -$36.
Question
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)
To find the water level at the end of summer, we need to add the initial water level below sea level with the drop in water level during the summer.
Initial water level below sea level: 1 1/2 meters
Drop in water level during summer: 2 1/3 meters
To add these two values, we first need to find a common denominator:
1 1/2 = 3/2
2 1/3 = 7/3
Now, we can add the fractions:
3/2 + 7/3
To add the fractions, we need a common denominator, which is 6 in this case.
Converting the fractions to have a denominator of 6:
(3/2) x (3/3) = 9/6
(7/3) x (2/2) = 14/6
Now, we can add the fractions with the common denominator:
9/6 + 14/6 = 23/6
So, the water level at the end of summer is 23/6 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 July rainfall from the June rainfall.
June rainfall: 2.3 inches above normal
July rainfall: 1.2 inches below normal
To calculate the difference, we can reverse the direction of the July rainfall and then add it to the June rainfall:
June rainfall: 2.3 inches above normal
July rainfall (reversed direction): -1.2 inches above normal (since below normal becomes above normal when the direction is reversed)
Adding the June and July rainfall:
2.3 + (-1.2) = 1.1
Therefore, the difference in rainfall between June and July is 1.1 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 find the distance the submarine traveled, we need to subtract the initial depth from the 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:
481.2 - 106.3 = 374.9
Therefore, the submarine traveled a distance of 374.9 feet.
The water level of a river is below normal levels. Its water level is at 112
1
1
2
meters below sea level. During the summer, the river drops another 213
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.