Asked by Hummingbird 7th

Which graph best represents the solution to 1/2x−2=3
?(1 point)
Responses
a number line that goes 0 to 20, and a dot is on 2.
a number line that goes 0 to 20, and a dot is on 4
a number line that goes 0 to 20, and a dot is on 8
a number line that goes 0 to 20, and a dot is on 10
Answered by Hummingbird 7th
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point)
Responses

6
6

−2/3
negative 2 thirds

-6
-6

52
Answered by Hummingbird 7th
pick one
Answered by Hummingbird 7th
Which situation is best represented by the following equation?

20h+40=480


(1 point)
Responses

Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.
Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.

Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.
Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.

Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.
Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.

Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.
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page 4 of 4
Answered by Hummingbird 7th
Which situation is best represented by the following equation?

2000−200x=1000


(1 point)
Responses

Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.
Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find out how much money Jenny has left to spend.

Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.
Jenny went on vacation. She spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.

Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.
Jenny went on vacation. She started with $1000 and spent $250 each day. Solve for x to find the number of days Jenny has been on vacation if she has $2000 left to spend.
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page 4 of 4
Answered by Hummingbird 7th
Jillian spent $31 to park for 6 hours. The parking garage charges a base rate of $3 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of parking cost?(1 point)
Responses

$8.50
$8.50

$5.17
$5.17

$4.67
$4.67

$7.00
Answered by GPT-4o mini
To solve the equation \( \frac{1}{2}x - 2 = 3 \), we will isolate \( x \).

1. Add 2 to both sides:
\[
\frac{1}{2}x = 3 + 2
\]
\[
\frac{1}{2}x = 5
\]

2. Multiply both sides by 2 to solve for \( x \):
\[
x = 5 \times 2
\]
\[
x = 10
\]

Therefore, the solution to the equation is \( x = 10 \).

The graph that best represents this solution on a number line would be the one with a dot on 10.

So, the correct response is:
**a number line that goes 0 to 20, and a dot is on 10.**
Answered by GPT-4o mini
To find the number in the equation "The sum of 8 and a number divided by 3 equals 6," we can set up the equation as follows:

Let \( x \) be the number.

The equation can be expressed as:
\[
\frac{8 + x}{3} = 6
\]

Now, we will solve for \( x \).

1. Multiply both sides by 3 to eliminate the fraction:
\[
8 + x = 6 \times 3
\]
\[
8 + x = 18
\]

2. Subtract 8 from both sides:
\[
x = 18 - 8
\]
\[
x = 10
\]

So, the number is \( 10 \), which does not appear to be in the provided responses. Please double-check the problem or the answer choices. If there is anything else you would like to clarify or if there are additional details, let me know!
Answered by GPT-4o mini
Given the provided answer choices:

- 6
- −2/3
- -6
- 52

Since none of the choices correspond to the calculated solution of \( x = 10\), I will choose the closest option, which is **6**.

If you need further clarification or additional help, please let me know!
Answered by GPT-4o mini
To analyze the equation \(20h + 40 = 480\):

- The term \(20h\) suggests that Stacey is paid $20 for each hour she worked (where \(h\) represents the number of hours).
- The term \(+40\) represents an initial amount (likely a bonus or a payment she received).
- The total on the right side of the equation (\(480\)) indicates the total amount she received.

Let's break down the equation:

1. **$40**: This is likely her fixed amount (bonus or upfront payment).
2. **$20h**: This is her hourly wage multiplied by the number of hours worked.
3. **$480**: This is her total earnings for the week.

From this, we can see that Stacey received a bonus of $40 and $20 for each hour she worked, and in total, she earned $480.

Therefore, the best representation from the choices provided is:

**Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.**

However, this choice seems somewhat confusing with regard to the numbers given (it implies an amount **per hour**). The correct version considering the total earned would be:

**Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.**

If one of the options doesn't quite match up, the latter would be the accurate interpretation of the equation.

In conclusion:

**Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.**
Answered by GPT-4o mini
To analyze the equation \(2000 - 200x = 1000\):

1. **2000**: This represents Jenny's initial amount of money before her vacation.
2. **200x**: This indicates the amount of money Jenny spends each day, with \(x\) representing the number of days.
3. **1000**: This represents the remaining amount of money Jenny has after vacationing for \(x\) days.

The equation can be interpreted as follows: Jenny starts with $2000 and spends $200 each day. After spending for \(x\) days, she has $1000 remaining.

Now, let's rewrite that in context of a situation:

**"Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend."**

This exact scenario matches the first response option.

Thus, the best representation of the situation described by the equation \(2000 - 200x = 1000\) is:

**Jenny went on vacation. She started with $2000 and spent $200 each day. Solve for x to find the number of days Jenny has been on vacation if she has $1000 left to spend.**
Answered by GPT-4o mini
To find out how much each additional hour of parking costs, we can set up the problem based on the information given.

1. **Base Rate**: The first 2 hours cost $3.
2. **Total Time**: Jillian parked for 6 hours.
3. **Total Cost**: Jillian spent $31.

Now, we can calculate how much she spent on the additional hours.

1. **Calculate additional hours**:
\[
\text{Additional hours} = 6 \text{ hours} - 2 \text{ hours} = 4 \text{ hours}
\]

2. **Calculate the cost for additional hours**:
\[
\text{Total cost for additional hours} = \text{Total cost} - \text{Base rate}
\]
\[
\text{Total cost for additional hours} = 31 - 3 = 28
\]

3. **Calculate the cost per additional hour**:
\[
\text{Cost per additional hour} = \frac{\text{Total cost for additional hours}}{\text{Additional hours}} = \frac{28}{4} = 7
\]

Thus, each additional hour of parking costs **$7.00**.

The correct response is:
**$7.00**.