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

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

1.6 miles
1.6 miles

5.2 miles
5.2 miles

3.6 miles
3.6 miles

0.3 miles
0.3 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

(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

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
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 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 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 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
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

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

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

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

Answer 1

Let's go through each question one by one:

Question 1

Alexei can still put 39 cans on the shelf before it is full, and the shelf can hold a total of 58 cans. Therefore, the equation that represents the situation is: \[ c + 39 = 58 \] To find out how many cans (\( c \)) are already on the shelf, we solve for \( c \): \[ c = 58 - 39 = 19 \] So the correct response is: c + 39 = 58 and 19

Question 2

Trey has already run 1.2 miles and needs to complete the entire race distance. Since he has completed \( \frac{1}{4} \) of the race so far, we need to find out how many total miles the race is. Since \( \frac{1}{4} \) of the race is 1.2 miles, the race distance is: \[ \text{Total distance} = 1.2 \text{ miles} \times 4 = 4.8 \text{ miles} \] To find how many more miles he needs to run to complete the race: \[ \text{Miles left} = 4.8 - 1.2 = 3.6 \text{ miles} \] So the correct response is: 3.6 miles

Question 3

Carlos wants to average 25 points over 7 games. He has scored the following points: 27, 18, 24, 32, 15, and 27. Therefore, the equation to find the score he needs in the last game (\( s \)) to achieve this average is: \[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \] Calculating the sum: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \] Thus, the correct equation is: \[ \frac{143 + s}{7} = 25 \] So the correct response is: (27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25

Question 4

The club sells candy bars for $2 each, bought for $400, and wants to make at least $1000, meaning their earnings must cover costs plus desired profit. Therefore we want to represent the profit in the inequality: \[ 2b - 400 \geq 1000 \] Solving this: \[ 2b \geq 1400 \] \[ b \geq 700 \] Since they bought 725 bars, and 725 is greater than 700, it is a viable option to make at least $1000 profit. So the correct response is: 2b − 400 ≥ 1000, and yes, it is a viable option

Question 5

The horse trainer has a total of 42 mints and needs 5 mints per horse per training session. Therefore, the equation to show the number of horses (\( h \)) she can train is: \[ 5h = 42 \] Solving for \( h \): \[ h = \frac{42}{5} = 8.4 \] Since you cannot train a fraction of a horse, this is not a viable option. So the correct response is: 5h = 42 so h = 8.4 horses, which is not viable

To summarize:

1. c + 39 = 58 and 19
2. 3.6 miles
3. (27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25
4. 2b − 400 ≥ 1000, and yes, it is a viable option
5. 5h = 42 so h = 8.4 horses, which is not viable