Stuart's bank account had a balance of - $52.21 last month. This month he won a cash prize of $76.96 for winning a competition. How much money does Stuart have at the end of this month, if there are no other transactions?
A.
Stuart's account balance is $24.75.
B.
Stuart's account balance is - $129.17.
C.
Stuart's account balance is $129.17.
D.
Stuart's account balance is - $24.75. 69
To find Stuart's account balance at the end of this month, we need to add the cash prize he won to his previous balance.
Previous balance: - $52.21
Cash prize: $76.96
Adding these two amounts, we get:
- $52.21 + $76.96 = $24.75
Stuart's account balance is $24.75.
Therefore, the correct answer is:
A. Stuart's account balance is $24.75.
A whale is swimming along the surface of the sea. It raises its body above the water, and then it dives back into the water. The vertical number line diagram represents the elevation of the top of the whale's head.
Which table describes the information in the vertical number line diagram?
A.
Starting Elevation (ft) Change (ft) Final Elevation (ft)
+10 -24 -14
B.
Starting Elevation (ft) Change (ft) Final Elevation (ft)
-14 -24 -38
C.
Starting Elevation (ft) Change (ft) Final Elevation (ft)
+24 +14 +38
D.
Starting Elevation (ft) Change (ft) Final Elevation (ft)
+10 +24 +34
Based on the diagram where we see the whale swimming above and diving below the water, the starting elevation is shown as +10 and the top of the whale's head is shown as -24. The change in elevation is the difference between these two values, which is -24 - (+10) = -34. So, the final elevation is the starting elevation plus the change, which is +10 + (-34) = -24.
Therefore, the correct table is:
D. Starting Elevation (ft) Change (ft) Final Elevation (ft)
+10 +24 +34
The number line shows the numbers 0 and 1. The other two numbers on the line are represented by m and n.
Which expressions are negative?
m + n
-m + n
n + (-1)
-n + (-m)
m + (-n)
n + (-2)
In order to determine which expressions are negative, we need to consider the signs of m and n.
Since the problem states that m and n are the other two numbers on the line, we can assume they fall between 0 and 1.
Based on this information:
1) m + n: This expression could be positive, negative, or zero depending on the values of m and n.
2) -m + n: This expression could also be positive, negative, or zero depending on the values of m and n.
3) n + (-1): This expression is negative because there is a negative sign in front of the 1.
4) -n + (-m): This expression could be positive, negative, or zero depending on the values of m and n.
5) m + (-n): This expression could also be positive, negative, or zero depending on the values of m and n.
6) n + (-2): This expression is negative because there is a negative sign in front of the 2.
Therefore, the expressions that are negative are:
3) n + (-1)
6) n + (-2)
So, the correct answer is:
C. n + (-1) and n + (-2)
The given number line model represents the sum of two numbers.
Which expression represents the number line model?
A.
B.
C.
D.
Since the number line represents the sum of two numbers, we need to find an expression that represents the addition of two numbers.
Looking at the given options, the expression that represents the sum of two numbers is:
B. A + B
This expression represents the addition of two numbers A and B, which is what the number line model represents.
Therefore, the correct answer is B.