A large bin can store up to 44 towels. A small bin can hold three-fourths the volume of a large bin. You have already put 17 in the small bin. How many more towels can you store?(1 point)

Question

You can store up to ( blank ) more towels

Answer 1

First, let's determine the capacity of the small bin, which can hold three-fourths the volume of the large bin.

1. The large bin can hold 44 towels.
2. The capacity of the small bin is: \[ \text{Capacity of small bin} = \frac{3}{4} \times 44 = 33 \text{ towels} \]

Next, you have already put 17 towels in the small bin. Now, we can find out how many more towels can be stored in the small bin by subtracting the number of towels already stored from the capacity of the small bin:

3. Calculate the remaining capacity in the small bin: \[ \text{Remaining capacity} = 33 \text{ towels} - 17 \text{ towels} = 16 \text{ towels} \]

Thus, you can store up to 16 more towels in the small bin.

The answer is: You can store up to 16 more towels.

Answer 2

2 of 5 Items

Question
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.
It will take ( Blank )
minutes to complete the game.

Answer 3

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

You have completed \( \frac{1}{5} \) of the game in 23 minutes, which means that the total time (\( T \)) to complete the entire game can be represented in the following equation:

\[ \frac{1}{5} T = 23 \text{ minutes} \]

To find the total time \( T \), we multiply both sides of the equation by 5:

\[ T = 23 \times 5 \]

Calculating the right side:

\[ T = 115 \text{ minutes} \]

Therefore, it will take 115 minutes to complete the game.

The answer is: It will take 115 minutes to complete the game.

Answer 4

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 $( Blank )

Answer 5

To find the cost of one ticket to the concert, we first need to account for the total cost of insurance and then determine how much was spent on the tickets alone.

1. Calculate the total number of people: Oksana and her three friends make a total of 4 people.

2. Calculate the total cost of insurance: \[ \text{Total insurance} = 4 \text{ people} \times 15 \text{ dollars/person} = 60 \text{ dollars} \]

3. Subtract the total insurance cost from the total amount paid for tickets: \[ \text{Total cost of tickets} = \text{Total amount paid} - \text{Total insurance} \] \[ \text{Total cost of tickets} = 540 \text{ dollars} - 60 \text{ dollars} = 480 \text{ dollars} \]

4. Calculate the cost of one ticket: Since the total cost of tickets is $480 and there are 4 tickets, the cost of one ticket is: \[ \text{Cost of one ticket} = \frac{480 \text{ dollars}}{4} = 120 \text{ dollars} \]

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

The answer is: The cost for one ticket to the concert was $120.

Answer 6

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 ( Blank )hours to make $130

Answer 7

To determine how many hours Christiana needs to work to make $130 after considering the $18 tip, we can set up the following equation.

1. Calculate her effective earnings: Since she receives an $18 tip, we need to subtract that from her target of $130 to find out how much she still needs to earn through her hourly wage. \[ \text{Amount needed from wages} = 130 - 18 = 112 \text{ dollars} \]

2. Calculate the number of hours she needs to work: She makes $14 per hour, so we can write the equation: \[ 14 \times h = 112 \] where \( h \) is the number of hours she needs to work.

3. Solve for \( h \): \[ h = \frac{112}{14} = 8 \]

Thus, she should work 8 hours to make the remaining amount needed.

The answer is: She should work 8 hours to make $130.

Answer 8

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)
Option #(Blank)represents how long the dehumidifier can run before it becomes full.

Answer 9

To find the correct inequality that shows how much time the dehumidifier can run before it becomes full, we can break it down step by step.

1. Identify the rate of water removal: The dehumidifier removes 1.6 pints of water per hour.

2. Identify the maximum capacity: The dehumidifier can hold up to 40 pints of water.

3. Set up the inequality: Let \( h \) represent the number of hours the dehumidifier runs. The total amount of water removed after \( h \) hours would be \( 1.6h \). Since the dehumidifier cannot exceed its capacity of 40 pints, we can express this situation with the inequality: \[ 1.6h \leq 40 \]

This inequality indicates that the total amount of water removed (1.6 times the hours) must be less than or equal to the maximum capacity of 40 pints.

Therefore, the correct option is:

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

So, the answer is: Option #2 represents how long the dehumidifier can run before it becomes full.

Answer 10

Alexei is stocking a shelf at the store. The shelf can hold 58 cans, so he can still put 39 cans on the shelf before it is full. Create an equation to make sense of the problem and solve it to find out how many cans are already on the shelf. Which equation and answer are correct?(1 point)
Responses

c+39=58 and 19
c plus 39 equals 58 and 19

c−58=39 and 97
c minus 58 equals 39 and 97

c−58=39 and 97
c minus 58 equals 39 and 97

c+39=58 and −19
c plus 39 equals 58 and negative 19

Answer 11

To determine how many cans are already on the shelf, let's define \( c \) as the number of cans currently on the shelf.

According to the information given:

• The shelf can hold a total of 58 cans.
• Alexei can still put 39 cans on the shelf before it becomes full.

Thus, we can set up the equation as follows:

\[ c + 39 = 58 \]

This equation states that the number of cans on the shelf (\( c \)) plus the number of cans that can still be added (39) equals the total capacity of the shelf (58).

Now, let's solve the equation for \( c \):

1. Subtract 39 from both sides: \[ c = 58 - 39 \]

2. Calculate: \[ c = 19 \]

So, the number of cans already on the shelf is 19.

Given the options, the correct response is:

c + 39 = 58 and 19.

Thus, the answer is: c + 39 = 58 and 19.