Trevor has a gift card with a $150 balance. He buys several video games that cost $35 each.

Which equation can be used to find x
, the number of games Trevor purchased if there was a balance of $45 left on his gift card.
Responses
A
150 plus 35 x is equal to 45
B
150 x minus 35 is equal to 45
C
open paren 150 minus 35 close paren times x is equal to 45
D

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the number of video games Trevor purchased (denoted as \( x \)), we can start with the total balance of the gift card and how much he spent on the video games.

Trevor starts with a balance of $150 and ends up with a balance of $45 after his purchases. The total amount he spent can be calculated as the initial balance minus the final balance:

\[
\text{Amount spent} = 150 - 45 = 105
\]

Since each video game costs $35, the total amount spent can also be expressed as \( 35x \), where \( x \) is the number of games purchased.

We can set up the equation based on the total amount spent:

\[
35x = 105
\]

To solve for \( x \), you could rewrite the equation:

\[
x = \frac{105}{35}
\]

It looks like the answer choices you provided are not correctly formatted. However, if you had to choose an appropriate equation based on the information, it might look like:

\[
150 - 35x = 45
\]

Which rearranges to show that Trevor's initial balance minus the money spent (which is \( 35 \cdot x \)) equals his remaining balance.

None of the given options directly match this format, but based on the insight above, you can see the relationships of the amounts involved. Thus none of the listed choices A, B, or C accurately reflect the correct equation.

If we were to reflect upon the choices given, the correct decision should have been clearer in your options.

User Icon for Hummingbird 7th Hummingbird 7th answered
2 hours ago

Maria charges a $10 base fee, plus $15 per hour for babysitting.

Which equation can be used to find h, the number of hours of babysitting that Maria will charge $160?
Responses
A 15h – 10 = 16015 h – 10 = 160
B 10h + 15 = 16010 h + 15 = 160
C (10 + 15)h = 160(10 + 15)h = 160
D 10 + 15h = 160

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the number of hours \( h \) of babysitting that Maria will charge $160, we can set up the cost equation based on her pricing structure.

1. Maria charges a **base fee of $10**.
2. She charges **$15 per hour** for babysitting.

The total charge for babysitting can be represented as:
\[
\text{Total Charge} = \text{Base Fee} + \text{Hourly Rate} \times \text{Number of Hours}
\]

Plugging in the values:
\[
160 = 10 + 15h
\]

From this, we see that the correct equation which represents this situation is:
\[
10 + 15h = 160
\]

Now, looking through the given options, the choice that matches this equation is:

**D: \( 10 + 15h = 160 \)**

Therefore, the correct equation to find \( h \), the number of hours Maria will babysit, is **D**.

User Icon for Hummingbird 7th Hummingbird 7th answered
2 hours ago

Write an equation and solve for x.

Seawall Bike Rental Shop charges a $11 fixed fee plus $9 an hour to rent a bike. Steve paid $56 to rent a bike.



How many hours did he pay to have the bike checked out?.
hours.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find out how many hours \( x \) Steve rented the bike, we can start by setting up an equation based on the rental shop's pricing structure:

1. The **fixed fee** for renting a bike is **$11**.
2. The **hourly rate** is **$9 per hour**.

The total cost that Steve paid for renting the bike is **$56**. We can express the total cost as follows:

\[
\text{Total Cost} = \text{Fixed Fee} + (\text{Hourly Rate} \times \text{Number of Hours})
\]

Plugging in the values, we get:

\[
56 = 11 + 9x
\]

Next, we will solve for \( x \):

1. Subtract the fixed fee from both sides of the equation:

\[
56 - 11 = 9x
\]
\[
45 = 9x
\]

2. Now divide both sides by 9 to solve for \( x \):

\[
x = \frac{45}{9}
\]
\[
x = 5
\]

Thus, Steve rented the bike for **5 hours**.

User Icon for Hummingbird 7th Hummingbird 7th answered
2 hours ago

Write an equation and solve for x.

On Monday, 449 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many students were on each bus?
x =
students

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine how many students were on each bus, we will first set up an equation based on the information provided.

1. Let \( x \) be the number of students on each bus.
2. Since there are **9 buses**, the total number of students on the buses is \( 9x \).
3. According to the problem, there are 449 students in total, and since 8 students traveled in cars, the number of students that actually traveled in the buses is \( 449 - 8 = 441 \).

Now we can set up the equation:

\[
9x = 441
\]

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

1. Divide both sides of the equation by 9:

\[
x = \frac{441}{9}
\]
\[
x = 49
\]

Therefore, the number of students on each bus is \( x = 49 \) students.

User Icon for Hummingbird 7th Hummingbird 7th answered
2 hours ago

Cory is tracking the progress of his plant’s growth. On Monday the plant was 5 cm tall. The plant grows 1.5 cm per day.

Which equation can be used to find d, the number of days that it will take the plant to reach 15.5 cm?
Responses
A 5 - 1.5d = 15.55 - 1.5 d = 15.5
B 5d + 1.5 = 15.55 d + 1.5 = 15.5
C 5 + 1.5d = 15.55 + 1.5 d = 15.5
D 5d - 1.5 = 15.5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the number of days \( d \) it will take for Cory's plant to grow from an initial height of 5 cm to a height of 15.5 cm, we can set up the equation based on the growth pattern of the plant. The plant grows **1.5 cm per day**, starting from a height of **5 cm**.

We can express the situation with the following equation:

\[
\text{Final Height} = \text{Initial Height} + \text{Growth per Day} \times \text{Number of Days}
\]

Substituting the known values into the equation:

\[
15.5 = 5 + 1.5d
\]

Now, let's identify the correct option based on the above equation. We see that this equation can be rearranged as:

\[
5 + 1.5d = 15.5
\]

Comparing this with the provided choices, the equation that matches is:

**C: \( 5 + 1.5d = 15.5 \)**

So, the correct answer is **C**.