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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To solve for the situation best represented by the equation \(20h + 40 = 480\), we can break it down:

- The term \(20h\) suggests that Stacey earns $20 for each hour worked, where \(h\) is the number of hours.
- The constant \(40\) indicates that she received a $40 bonus.
- The total amount she received is $480.

From this, we can interpret the equation as follows:

- The total earnings ($480) is the sum of her earnings from working hours ($20h$) and her bonus ($40).

Now, let's analyze the options:

1. **Stacey was paid $40 last week. She was paid a $20 bonus and $480 for each hour she worked.**
- Incorrect: The $480 is a total, not an hourly wage.

2. **Stacey was paid $480 last week. She was paid a $40 bonus and $20 for each hour she worked.**
- Correct: This matches our equation where the bonus is $40 and the hourly wage is $20.

3. **Stacey was paid $480 last week. She was paid a $20 bonus and $40 for each hour she worked.**
- Incorrect: The bonus described here is not aligned with the equation.

4. **Stacey was paid $40 last week. She was paid a $480 bonus and $20 for each hour she worked.**
- Incorrect: This too misrepresents the assignment of values in the equation.

Thus, the best situation represented by the equation \(20h + 40 = 480\) is:

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

User Icon for nope nope answered
9 days ago

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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To understand what situation is best represented by the equation \(2000 - 200x = 1000\), let's break it down:

- The starting amount is $2000.
- Jenny spends $200 each day, represented by the term \(200x\), where \(x\) is the number of days she has spent.
- The equation states that after spending for a certain number of days, she has $1000 left.

From this understanding, we can interpret that the left side of the equation represents the total money remaining after Jenny has spent money each day, which equals $1000.

Now, let's analyze the options given:

1. **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.**
- Correct: This accurately describes the equation and situation.

2. **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.**
- Incorrect: This does not specify a remaining amount ($1000) appropriately.

3. **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.**
- Partially correct, but it lacks the detail about her initial amount of $2000.

4. **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.**
- Incorrect: This contradicts the initial amount and the daily spending rate.

Thus, the best situation represented 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.**

User Icon for nope nope answered
9 days ago

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To determine how much each additional hour of parking costs, we can break down Jillian's total parking fee.

1. **Base Rate for the First 2 Hours**:
- The parking garage charges a base rate of $3 for the first 2 hours.

2. **Total Time Parked**:
- Jillian parked for a total of 6 hours.

3. **Additional Hours**:
- The number of additional hours is \(6 - 2 = 4\) hours.

4. **Total Cost**:
- The total amount Jillian spent is $31.

5. **Cost for Additional Hours**:
- First, we need to find out how much she paid for the additional hours:
\[
\text{Cost for additional hours} = \text{Total Cost} - \text{Base Rate} = 31 - 3 = 28.
\]

6. **Cost per Additional Hour**:
- Now, we divide the cost for the additional hours by the number of additional hours:
\[
\text{Cost per additional hour} = \frac{28}{4} = 7.
\]

Thus, the cost for each additional hour of parking is **$7.00**.

The correct response is:

**$7.00**.

User Icon for nope nope answered
9 days ago

Daisy has 6 more than three times as many seashells as Lucy. Daisy has 36 seashells. How many does Lucy have?(1 point)

Responses

14
14

90
90

10
10

126

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To find out how many seashells Lucy has, let's set up the equation based on the information given:

1. **Let \( L \) be the number of seashells Lucy has.**
2. **Daisy has 6 more than three times the number of seashells Lucy has.**

This can be expressed as:
\[
D = 3L + 6
\]
where \( D \) is the number of seashells Daisy has. We know from the problem that Daisy has 36 seashells:
\[
36 = 3L + 6
\]

Now, we can solve for \( L \):

1. Subtract 6 from both sides:
\[
36 - 6 = 3L
\]
\[
30 = 3L
\]

2. Now, divide both sides by 3:
\[
L = \frac{30}{3} = 10
\]

So, Lucy has **10 seashells**.

The correct response is:

**10**.

User Icon for nope nope answered
9 days ago

Solve for c.

2/5c+5=95


(1 point)
Responses

225
225

36
36

250
250

40

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To solve the equation \( \frac{2}{5}c + 5 = 95 \) for \( c \), follow these steps:

1. **Subtract 5 from both sides**:
\[
\frac{2}{5}c + 5 - 5 = 95 - 5
\]
This simplifies to:
\[
\frac{2}{5}c = 90
\]

2. **Multiply both sides by \( \frac{5}{2} \) to isolate \( c \)**:
\[
c = 90 \cdot \frac{5}{2}
\]

3. **Calculate the right side**:
\[
c = 90 \cdot \frac{5}{2} = \frac{450}{2} = 225
\]

Thus, the solution for \( c \) is **225**.

The correct response is:

**225**.

User Icon for nope nope answered
9 days ago

What value for n makes this equation true?

13−2n=−109


(1 point)
Responses

-61
-61

-48
-48

48
48

61
61

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 days ago

To solve the equation \( 13 - 2n = -109 \) for \( n \), follow these steps:

1. **Subtract 13 from both sides**:
\[
13 - 2n - 13 = -109 - 13
\]
This simplifies to:
\[
-2n = -122
\]

2. **Divide both sides by -2**:
\[
n = \frac{-122}{-2} = 61
\]

Thus, the value for \( n \) that makes the equation true is **61**.

The correct response is:

**61**.