Question 1 A)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) Responses c−58=39 and 97 c minus 58 equals 39 and 97 c+39=58 and −19 c plus 39 equals 58 and negative 19 c+39=58 and 19 c plus 39 equals 58 and 19 c−58=39 and 97 c minus 58 equals 39 and 97 Question 2 A)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 1.6 miles 1.6 miles 5.2 miles 5.2 miles 0.3 miles 0.3 miles Question 3 A)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+17+s7=25 Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 17 plus 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 Question 4 A)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 less 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. 2 b minus 400 greater than or equal to 1000 , and no, it is not a viable option. Question 5 A)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 h−5=42 and h=47, which is not viable. h minus 5 equals 42 and h equals 47 , which is not viable. 5h=42, so h=8.4 horses, which is not viable. 5 h equals 42 , so h equals 8.4 horses, which is not viable. 5h=42, so h=8.4 horses, which is viable. 5 h equals 42 , so h equals 8.4 horses, which is viable.

Question

GPT-4o mini · Answer

Here are the answers to the questions provided along with the reasoning behind them:

Question 1: A) Alexei needs to determine how many cans are already on the shelf. The shelf can hold 58 cans and can still take 39 more cans, implying that the current number of cans on the shelf $ c $ can be modeled by the equation:

\[ c + 39 = 58 \]

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

Correct response: c + 39 = 58 and 19

Question 2: A) Trey has run already 1.2 miles and needs to find out how many more miles he must run. Assuming the race is 5.2 miles long, we can set up the equation:

Total miles required - miles already run = additional miles to run So, $ 5.2 - 1.2 = 4 $

Since that option isn't given, if assuming the total race distance is not provided, we can't precisely determine a clear answer without it.

Assuming the race is 5.2 miles: Correct response: 4 miles

However, provided responses do not include 4. If considering a race of another length, it might lead to the conclusion that 3.6 miles could be a likely option depending on the total length if this was an option within reasonable distancing.

Question 3: A) To find the score for the last game that gives Carlos an average of 25 points over 7 games, we set up the equation for the average:

Total points scored so far + last game score = 25 * 7 (total games)

Sum of the scores: $ 27 + 18 + 24 + 32 + 15 + 27 + s = 25 * 7 $

This simplifies to:

Correct response: 27 + 18 + 24 + 32 + 15 + 27 + s / 7 = 25

Question 4: A) The adventure club's situation can be modeled by the following inequality:

Revenue (2b) - Cost ($400) must meet or exceed $1000: \[ 2b - 400 \geq 1000 \]

To find if selling 725 bars (where $ b = 725 $) is viable: \[ 2(725) - 400 = 1450 - 400 = 1050 \]

Since $1050 is greater than $1000, this option is indeed viable.

Correct response: 2b - 400 ≥ 1000, and yes, it is a viable option.

Question 5: A) To calculate the number of horses trained, given she uses 5 treats per horse session:

Let $ h $ be the number of horses. The equation will be: \[ 5h = 42 \]

To find $ h $: \[ h = 42 / 5 \] \[ h = 8.4 \]

Since you cannot train a fraction of a horse, this option is not viable in practical terms.

Correct response: 5h = 42, so h = 8.4 horses, which is not viable.

The answers depend on the context established by the question and the mathematical relationships devised.