1. 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. What equation and answer are correct?(1 point)

Question

1. 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.  What equation and answer are correct?(1 point)
Responses

c+39=58 and −19
c+39=58 and −19

c−58=39 and 97
c−58=39 and 97

c+39=58 and 19
c+39=58 and 19

c−58=39 and 97
c−58=39 and 97
Question 2
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

3.6 miles
3.6 miles

0.3 miles
0.3 miles

1.6 miles
1.6 miles

5.2 miles
5.2 miles
Question 3
3. 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
143 s over 7 is equal to 25

(27+18+24+32+15+27+s)7=25
the fraction with numerator open paren 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s close paren and denominator 7 is equal to 25

(27+18+24+32+15+17+s)7=25
the fraction with numerator open paren 27 plus 18 plus 24 plus 32 plus 15 plus 17 plus s close paren and denominator 7 is equal to 25

(27+18+24+32+15+27)7+s=25
the fraction with numerator open paren 27 plus 18 plus 24 plus 32 plus 15 plus 27 close paren and denominator 7 plus s is equal to 25
Question 4
4. 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 $1000 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 yes, it is a viable option
2 b minus 400 is less than or equal to 1000, and yes, it is a viable option

2b−400≤1000
, and no, it is not a viable option
2 b minus 400 is less than or equal to 1000, and no, it is not a viable option

2b−400≥1000
, and no, it is not a viable option
2 b minus 400 is 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 is greater than or equal to 1000, and yes, it is a viable option
Question 5
5. A horse trainer has a bag of pink sugar mints for horse treats. She needs five treats per training session.  The bag holds 42 mints.  Which equation shows the number of horses that she can train and is a solution a viable option? (1 point)
Responses

h5=42 and h=210
, which is not viable
h5=42 and h=210
, which is not viable

5h=42 so h=8.4
 horses, which is viable
5h=42 so h=8.4
 horses, which is viable

h−5=42 and h=47
, which is not viable
h−5=42 and h=47
, which is not viable

5h=42 so h=8.4
 horses, which is not viable
5h=42 so h=8.4
 horses, which is not viable
Skip to navigation

GPT-4o mini · Answer

Let's go through each question one by one.

Question 1

Problem: Alexei can put 39 more cans on the shelf before it is full. The shelf can hold 58 cans.

Equation: To find the number of cans already on the shelf, we set up the equation: \[ c + 39 = 58 \] where $ c $ represents the number of cans already on the shelf.

Solving for $ c $: \[ c = 58 - 39 = 19 \]

Answer Option: c + 39 = 58 and 19

Question 2

Problem: Trey has completed $ \frac{14}{1} $ (which probably means 14 parts of a race, but without further info, we treat this as done) and he has run 1.2 miles. We need to determine how many more miles he needs to run.

Assuming the entire race is 5 miles (as an assumption based on typical race distances, as it's unclear), we calculate: Remaining Distance: Total Distance - Distance Completed = 5 miles - 1.2 miles = 3.8 miles.

However, without any details about the total distance, I'm unable to provide a definitive answer. Please let me know the total distance for further clarification.

Assuming the answer options given are correct and sufficient:

The closest possible distance would be mentioned indirectly: Answer Option: 3.6 miles (Assuming he needed around 4.8 miles or similar based on anecdotal ideas).

Question 3

Problem: Carlos wants to average 25 points per game over 7 games. He has already scored the following points in 6 games: 27, 18, 24, 32, 15, and 27.

Equation for Average: \[ \frac{(27 + 18 + 24 + 32 + 15 + 27 + s)}{7} = 25 \] Where $ s $ is the score of the last game.

Answer Option: (27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25

Question 4

Problem: The candy bars sell for $2 each, bought 725 bars for $400, and need to make at least $1000.

Inequality: The total revenue from selling $ b $ bars minus the cost must be at least $1000: \[ 2b - 400 \geq 1000 \]

Now we check if selling 725 bars generates sufficient profit: \[ 2(725) - 400 = 1450 - 400 = 1050 \geq 1000 \] Yes, it is a viable option since they make enough profit.

Answer Option: 2b - 400 ≥ 1000, and yes, it is a viable option

Question 5

Problem: The trainer needs 5 treats per session and has 42 mints available.

Equation: To find the number of horses $ h $: \[ 5h = 42 \] Now solving for $ h $: \[ h = \frac{42}{5} = 8.4 \] Since you cannot train a fraction of a horse, this number of horses trained is not viable.

Answer Option: 5h = 42 so h = 8.4 horses, which is not viable

Overall, here are the final responses for each question based on the above analysis:

c + 39 = 58 and 19
3.6 miles (Conditionally based on the total race distance)
(27+18+24+32+15+27+s)/7 = 25
2b - 400 ≥ 1000, and yes, it is a viable option
5h = 42 so h = 8.4 horses, which is not viable