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)

Question

Responses

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

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

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

c−58=39 and 97

Answer 1

To solve the problem, we need to determine how many cans are already on the shelf.

Let's represent the number of cans already on the shelf as \( c \). According to the problem, the shelf can hold a total of 58 cans, and Alexei can still put 39 cans on it before it is full. Thus, the equation can be set up as:

\[ c + 39 = 58 \]

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

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

2. Calculate the right-hand side: \[ c = 19 \]

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

The correct equation and answer is: \( c + 39 = 58 \) and 19.

Answer 2

Trey is running in a race. He has completed 14 of the race so far. He has already run 1.2 miles. How many more miles must Trey run to complete the race?(1 point)
Responses

0.3 miles
0.3 miles

1.6 miles
1.6 miles

3.6 miles
3.6 miles

5.2 miles

Answer 3

To determine how many more miles Trey must run to complete the race, we first need to know the total distance of the race. The total distance can be found by multiplying the number of laps completed (14) by the distance per lap.

However, the distance per lap is not provided in the question. Assuming the total distance of the race is not given directly, let's denote it as \( d \).

The total distance of the race would normally be calculated like this:

\[ d - 1.2 \text{ miles} = \text{remaining distance Trey must run} \]

Since the value of \( d \) (the total distance of the race in miles) is not specified in the question, we cannot compute the exact remaining distance.

If we assume that the total race distance is one of the answers provided, we can evaluate possible scenarios. However, without further information, we cannot arrive at a definitive conclusion.

If you provide the total distance of the race or the context of the laps (for instance, if each lap is a defined distance), I can help you compute the remaining miles accurately. Please clarify what the total distance of the race is, or if there's information missing!

Answer 4

Trey is running in a race. He has completed 1/4 of the race so far. He has already run 1.2 miles. How many more miles must Trey run to complete the race?(1 point)
Responses

0.3 miles
0.3 miles

1.6 miles
1.6 miles

3.6 miles
3.6 miles

5.2 miles

Answer 5

To find out how many more miles Trey must run to complete the race, we first need to determine the total distance of the race based on the information given.

We know that Trey has completed \( \frac{1}{4} \) of the race, and that this distance is equal to 1.2 miles. Thus, we can set up the following equation to find the total distance of the race \( d \):

\[ \frac{1}{4}d = 1.2 \]

To find \( d \), we can multiply both sides by 4:

\[ d = 1.2 \times 4 \]

\[ d = 4.8 \text{ miles} \]

Now that we have the total distance of the race (4.8 miles), we can calculate how much more Trey must run. Since he has already run 1.2 miles, we subtract that from the total distance:

\[ \text{Remaining distance} = d - \text{distance already run} \]

\[ \text{Remaining distance} = 4.8 - 1.2 \]

\[ \text{Remaining distance} = 3.6 \text{ miles} \]

Thus, Trey must run 3.6 miles to complete the race.

The correct response is: 3.6 miles.

Answer 6

Question
Carlos is playing basketball this season. He is trying to average 25 points per game. He has scored 27, 18, 24, 32, 15, and 27 points in the previous 6 games. What equation can help you find the score for the last game that will give Carlos an average of 25 points?(1 point)
Responses

143s7=25
Start Fraction 143 s over 7 End Fraction equals 25

27+18+24+32+15+27+s7=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25

27+18+24+32+15+277+s=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 over 7 End Fraction plus s equals 25

27+18+24+32+15+17+s7=25

Answer 7

To find the score Carlos needs in the last game to average 25 points over 7 games, we first need to calculate the total number of points he must have over those 7 games.

The equation for the average points over \( n \) games is given by:

\[ \text{Average} = \frac{\text{Total Points}}{n} \]

In this case, Carlos wants to average 25 points over 7 games:

\[ 25 = \frac{\text{Total Points}}{7} \]

This means the total points he needs after 7 games is:

\[ \text{Total Points} = 25 \times 7 = 175 \]

Now, we will add the points he has already scored in the first 6 games:

\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]

Let \( s \) represent the score in the last game. The equation we need to solve is:

\[ 143 + s = 175 \]

This equation can be rearranged to find \( s \):

\[ s = 175 - 143 \]

\[ s = 32 \]

So Carlos needs to score 32 points in the last game to achieve an average of 25 points per game.

Now looking at the response options provided, the most closely resembling equation that sets up the total correctly is:

\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]

This ensures that you are calculating the correct average after considering the score \( s \) for the last game.

So, the correct response is: \( \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \).

Answer 8

The adventure club is selling candy bars to go on their annual outing. The bars sell for $2 a bar. The club bought 725 bars for $400. The club needs to make at least $1,000 to go on their trip. Which inequality best represents this problem, and are the 725 bars a viable option to make enough profit?(1 point)
Responses

2b−400≥1000 , and no, it is not a viable option.
2 b minus 400 greater than or equal to 1000 , and no, it is not a viable option.

2b−400≤1000 , and yes, it is a viable option.
2 b minus 400 less than or equal to 1000 , and yes, it is a viable option.

2b−400≥1000 , and yes, it is a viable option.
2 b minus 400 greater than or equal to 1000 , and yes, it is a viable option.

2b−400≤1000 , and no, it is not a viable option.

Answer 9

To determine which inequality represents the situation and whether selling 725 bars is a viable option to make at least $1,000, we can break this down step by step.

Step 1: Calculate the Revenue and Profit

1. Selling Price per Bar: The club sells each bar for $2.

2. Total Number of Bars: The club has 725 bars.

3. Total Revenue: \[ \text{Revenue} = 2b \quad (\text{where } b \text{ is the number of bars sold}) \] If all 725 bars are sold: \[ \text{Revenue} = 2 \times 725 = 1450 \text{ dollars} \]

4. Cost of the Bars: The club bought the bars for $400.

5. Profit Calculation: \[ \text{Profit} = \text{Revenue} - \text{Cost} \] \[ \text{Profit} = 1450 - 400 = 1050 \text{ dollars} \]

Step 2: Setting Up the Inequality

The club needs to make at least $1,000 in profit, so we set up the inequality as follows:

\[ 2b - 400 \geq 1000 \]

Step 3: Solving the Inequality

To find the minimum number of bars they need to sell to meet their profit requirement, we can solve the inequality:

\[ 2b - 400 \geq 1000 \] \[ 2b \geq 1000 + 400 \] \[ 2b \geq 1400 \] \[ b \geq 700 \]

Conclusion

• To make at least $1,000 profit, the club needs to sell at least 700 bars.
• Since they have 725 bars, they can indeed sell enough bars to meet their profit goal.

Final Answer

The correct response is: \( 2b - 400 \geq 1000 \), and yes, it is a viable option.

Answer 10

a,b,c or d

Answer 11

Based on the analysis, the correct response is:

c. \( 2b - 400 \geq 1000 \), and yes, it is a viable option.

This means that the club can sell the 725 bars to achieve their goal of making at least $1,000 in profit.