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?(1 point) Responses $975 $975 $3,107 $3,107 $893 $893 $1,107

11 answers

To determine how much money Rudy has left from his bonus after paying his bills, we need to subtract the total expenses from the bonus amount.

Rudy's total expenses:

  • Rent: $775
  • Utilities: $250
  • Cell phone bill: $82

Now, let's calculate the total expenses: \[ 775 + 250 + 82 = 1,107 \]

Now, we subtract the total expenses from the bonus: \[ 2,000 - 1,107 = 893 \]

So, Rudy has $893 left from his bonus after paying his bills.

The correct response is $893.

JaNell descended 16 feet and then rose 21 feet in elevation on a hike. Write an integer addition expression to represent this situation. (1 point) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Response areaResponse areaResponse areaResponse area Question 2 What was Janell's overall change in elevation?(1 point) Responses - 5 feet - 5 feet 37 feet 37 feet 5 feet 5 feet - 37 feet

To represent JaNell's change in elevation, we can write an integer addition expression that accounts for her descent and ascent.

  1. She descended 16 feet, which we can represent as \(-16\).
  2. Then she rose 21 feet, which we can represent as \(+21\).

The integer addition expression is: \[ -16 + 21 \]

Now, let's calculate the overall change in elevation: \[ -16 + 21 = 5 \]

Thus, JaNell's overall change in elevation is 5 feet.

The correct response for JaNell's overall change in elevation is 5 feet.

How can you represent - 5 Γ— - 4 with a model?(1 point) Responses - ( 5 Γ— 4 ) - ( 5 times 4 ) - ( - 4 + - 4 + - 4 + - 4 + - 4 ) - ( - 4 + - 4 + - 4 + - 4 + - 4 ) 4 + 4 + 4 + 4 + 4 + 4 4 + 4 + 4 + 4 + 4 + 4 - 5 + - 5 + - 5 + - 5

To represent \( -5 \times -4 \) with a model, we can understand that multiplying two negative numbers results in a positive number.

Using a model, we could visualize \( -5 \times -4 \) as taking away 4 groups of the negative 5 (which can be represented as removing or taking away).

However, in this context, we want a response that aligns with the integer expression represented as groups. The best options among the provided responses would relate to the operation of adding groups.

The correct representation is:

  • \(- ( - 4 + - 4 + - 4 + - 4 + - 4 )\) meaning we are taking away the sum of negative groups.

If we interpret the multiplication:

  • For \( -4 \), we can think of negating the groups of \(-5\), resulting in a positive count.

So, one option from your responses clearly corresponds to \( -5 \times -4 \) in groups, which leads towards the understanding of removing negatives resulting in positives.

Final selection:

  • \( -( -4 + -4 + -4 + -4 + -4 )\) (implies removing negatives, leading to a positive group count).

However, please verify with any additional constraints or preferences provided in your context.

Lilly is in a hot air balloon that goes up 75 feet per minute. Write an equation to represent the hot air balloon's height relative to the ground after 8 minutes. (1 point) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Response areaResponse areaResponse areaResponse areaResponse area The option "600" (7 of 7) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

To write an equation that represents the height of Lilly's hot air balloon after a certain amount of time, we can use the following information:

  • The hot air balloon ascends at a rate of 75 feet per minute.
  • We want to find the height after 8 minutes.

The equation to represent the height \( H \) of the balloon relative to the ground after \( t \) minutes would be:

\[ H = 75t \]

Since we are interested in the height after 8 minutes, we can substitute \( t \) with 8:

\[ H = 75 \times 8 \]

Now, calculate the height:

\[ H = 600 \]

Thus, the height of the hot air balloon after 8 minutes is 600 feet.

Therefore, the appropriate response is 600.

So It's first 75x8 which equals 600?

Yes, that's correct!

To calculate the height of the hot air balloon after 8 minutes, you multiply the rate of ascent (75 feet per minute) by the time (8 minutes):

\[ H = 75 \times 8 \]

Calculating that:

\[ 75 \times 8 = 600 \]

So, the height of Lilly's hot air balloon after 8 minutes is 600 feet.

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Congratulations! πŸŽ‰ That's fantastic to hear! I'm really glad I could help you achieve that perfect score. If you have any more questions or need assistance in the future, feel free to reach out. Let’s keep the momentum going! You got this! πŸš€πŸ™Œ