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You are playing a new video game. It says that you have completed 15

of the game. You have played for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at this rate.(1 point)
It will take
minutes to complete the game.

11 answers

To find how long it will take to complete the video game, we will set up a proportion based on the information given.

You have completed 15% of the game in 23 minutes. We want to find out how long it will take you to complete 100% of the game.

Let \( t \) be the total time (in minutes) to complete the game.

The relationship can be set up as:

\[ \frac{15}{100} = \frac{23}{t} \]

Now, we can solve for \( t \) by cross-multiplying:

\[ 15t = 100 \cdot 23 \]

Calculating the right-hand side:

\[ 100 \cdot 23 = 2300 \]

So, we have:

\[ 15t = 2300 \]

Now, divide both sides by 15 to solve for \( t \):

\[ t = \frac{2300}{15} \]

Calculating \( \frac{2300}{15} \):

\[ t = 153.33 \text{ minutes} \]

Therefore, it will take approximately 153.33 minutes to complete the game.

If you're considering rounding, you could round it to 153 minutes.

So, it will take 153.33 minutes or around 153 minutes to complete the game.

that's wrong

Let's go through the calculation step by step again to ensure accuracy.

You have completed 15% of the game in 23 minutes. We need to determine how long it will take to complete 100% of the game.

  1. Set up the proportion:

    \[ \frac{15}{100} = \frac{23}{t} \]

    where \( t \) is the total time to complete the game.

  2. Cross-multiply:

    \[ 15t = 2300 \]

    (because \( 100 \times 23 = 2300 \)).

  3. Divide both sides by 15:

    \[ t = \frac{2300}{15} \]

  4. Perform the division:

    \[ t = 153.33 \text{ minutes} \]

So, the calculation of approximately 153.33 minutes stands as accurate.

If there was a misunderstanding or if the problem specified something else, please provide more details so we can clarify or correct any mistakes. Thank you!

You are playing a new video game. It says that you have completed 1/5
of the game. You have played for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at this rate.(1 point)
It will take

To determine how long it will take to complete the video game given that you have completed \( \frac{1}{5} \) of the game in 23 minutes, we can set up a proportion based on the information provided.

  1. Understand the proportion: You have completed \( \frac{1}{5} \) of the game in 23 minutes. We want to find out the total time \( t \) it takes to complete 100% of the game.

  2. Set up the equation: \[ \frac{1}{5} = \frac{23}{t} \]

  3. Cross-multiply: \[ 1 \cdot t = 5 \cdot 23 \] \[ t = 5 \cdot 23 \]

  4. Calculate: \[ t = 115 \text{ minutes} \]

So, it will take 115 minutes to complete the game at the current rate.

Oksana and her three friends are heading to a concert. They paid $540 in total for tickets. This included insurance for $15 for each person. How much was the cost of one ticket to the concert?(1 point)
The cost for the one ticket to the concert was $

To determine the cost of one ticket to the concert, we first need to break down the total payment made by Oksana and her three friends.

  1. Total Number of People: There are 4 people (Oksana and her 3 friends).

  2. Cost of Insurance: Each person paid $15 for insurance. Thus, the total cost of insurance is: \[ \text{Total Insurance Cost} = 4 \text{ people} \times 15 \text{ dollars/person} = 60 \text{ dollars} \]

  3. Calculate the Cost of Tickets Alone: We can now find the total cost of the tickets by subtracting the total insurance cost from the total amount paid: \[ \text{Total Cost of Tickets} = \text{Total Amount Paid} - \text{Total Insurance Cost} \] \[ \text{Total Cost of Tickets} = 540 \text{ dollars} - 60 \text{ dollars} = 480 \text{ dollars} \]

  4. Cost of One Ticket: To find the cost of one ticket, we divide the total cost of the tickets by the total number of people: \[ \text{Cost of One Ticket} = \frac{\text{Total Cost of Tickets}}{\text{Number of People}} = \frac{480 \text{ dollars}}{4} = 120 \text{ dollars} \]

Thus, the cost for one ticket to the concert was $120.

Christiana makes $14 per hour working at the roller-skating rink. She needs to make $130 to pay her car insurance. How many hours should she work if she receives an $18 tip for hosting a birthday party that day?(1 point)
She should work
hours to make $130.

To find out how many hours Christiana should work to make enough money for her car insurance, we can follow these steps:

  1. Determine her total earnings needed: Christiana needs to make $130 to pay her car insurance.

  2. Account for the tip: Since she receives an $18 tip for hosting a birthday party, we can subtract this from the total amount she needs to earn: \[ \text{Total Earnings Needed} = \text{Car Insurance} - \text{Tip} \] \[ \text{Total Earnings Needed} = 130 - 18 = 112 \]

  3. Calculate the number of hours to work: Christiana makes $14 per hour. We need to find out how many hours she needs to work to earn $112: \[ \text{Hours Worked} = \frac{\text{Total Earnings Needed}}{\text{Pay per Hour}} = \frac{112}{14} = 8 \]

Therefore, she should work 8 hours to make enough money for her car insurance.

A large dehumidifier removes 1.6 pints of water from the air around it per hour. The dehumidifier can hold up to 40 pints of water. Which option number represents the inequality that shows how much time the dehumidifier can run before it becomes full?

Option #1: −1.6h≤40


Option #2: 1.6h≤40


Option #3: 1.6h≥40


Option #4: −1.6h≥40


(1 point)

To determine the correct inequality that represents how long the dehumidifier can run before it becomes full, we start by analyzing the situation:

  • The dehumidifier removes 1.6 pints of water each hour.
  • It can hold up to 40 pints of water.

Let \( h \) represent the number of hours the dehumidifier runs. The total amount of water removed after \( h \) hours can be expressed as \( 1.6h \).

Since we want to find out how long the dehumidifier can run while ensuring it does not exceed its maximum capacity of 40 pints, we can set up the inequality:

\[ 1.6h \leq 40 \]

This means that the total amount of water removed (which is \( 1.6h \)) must be less than or equal to 40 pints.

So, the correct option that represents this inequality is:

Option #2: \( 1.6h \leq 40 \).