Rudy received a bonus of $2,000. He then paid his rent of $775, spent $250 on utilities, and paid his cell phone bill of $82. How much money does Rudy have left from his bonus after paying his bills?
Rudy spent $775 + $250 + $82 = $<<775+250+82=1107>>1,107 on his bills.
Thus, Rudy has $2,000 - $1,107 = $<<2000-1107=893>>893 left from his bonus. Answer: \boxed{893}.
Miki is trying to help her younger brother understand why 12−(−5) is equal to 17. She draws a number line to help. Explain how a number line could help to show that 12−(−5) is equal to 17.
A number line can be a useful tool to visualize and understand arithmetic operations. In this case, Miki can show her brother how the number line works for subtraction by starting at 12 on the number line.
First, Miki can explain that subtracting a negative number is the same as adding a positive number. So, subtracting -5 is like adding 5.
Starting at 12, Miki's brother can move 5 units to the right on the number line to represent adding positive 5. This brings him to the point 17, which represents the result of the subtraction 12 - (-5).
By using the number line, Miki's brother can see that starting at 12 and moving 5 units to the right brings him to 17. Therefore, 12 - (-5) is equal to 17.
Miki is trying to help her younger brother understand why 12−(−5) is equal to 17. She draws a number line to help. Explain how a number line could help to show that 12−(−5) is equal to 17. (1 point)
Responses
Starting at −5 on a number line, you must move 12 units in the positive direction to get to 17.
Starting at negative 5 on a number line, you must move 12 units in the positive direction to get to 17.
Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
Starting at −5 on the number line, you must move 17 units in the positive direction to get to 12.
Starting at negative 5 on the number line, you must move 17 units in the positive direction to get to 12.
Starting at 12 on the number line, you must move 17 units in the negative direction to get to −5.
Starting at 12 on the number line, you must move 5 units in the negative direction to get to 7.
How can you represent −5⋅−4 with a model?(1 point)
Responses
4+4+4+4+4
4 plus 4 plus 4 plus 4 plus 4
5⋅4
5 times 4
−(−4+−4+−4+−4+−4)
negative left parenthesis negative 4 plus negative 4 plus negative 4 plus negative 4 plus negative 4 right parenthesis
−5+−5+−5+−5
−(−4+−4+−4+−4+−4)
negative left parenthesis negative 4 plus negative 4 plus negative 4 plus negative 4 plus negative 4 right parenthesis
Multiply −9⋅(−18)
To multiply -9⋅(-18), you can use the rule that states that the product of two negative numbers is positive.
Thus, -9⋅(-18) is equal to 9⋅18, which equals to 162.
Connect the model −(7+7+7+7+7+7) to the algorithm for solving the multiplication problem it models.(1 point)
Responses
The model represents −7⋅6, which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents negative 7 times 6 , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents −6⋅7, which is solved by multiplying 6 times 7 and changing the sign to get −42.
The model represents negative 6 times 7 , which is solved by multiplying 6 times 7 and changing the sign to get negative 42 .
The model represents 7⋅(−6), which is solved by multiplying 7 times 6 and changing the sign to get −42.
The model represents 7 times left parenthesis negative 6 right parenthesis , which is solved by multiplying 7 times 6 and changing the sign to get negative 42 .
The model represents 6⋅(−7), which is solved by multiplying 6 times 7 and changing the sign to get −42