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+39=58 and 19 c plus 39 equals 58 and 19 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−58=39 and 97
The correct equation is c + 39 = 58.
To solve for c, subtract 39 from both sides of the equation:
c = 58 - 39
c = 19
Therefore, there are already 19 cans on the shelf.
Trey is running in a race. He has completed 14 of the race so far. He has already run 1.2 miles. How much more of the race does Trey have?(1 point) Responses 0.3 miles 0.3 miles 4.8 miles 4.8 miles 5.2 miles 5.2 miles 1.6 miles
To find out how much more of the race Trey has, we need to subtract the distance he has already run (1.2 miles) from the total distance of the race (14 miles).
So, the correct answer is 14 - 1.2 = 12.8 miles.
Therefore, Trey still has 12.8 miles left to complete.
Trey is running in a race. He has completed 1/4 of the race so far. He has already run 1.2 miles. How much more of the race does Trey have?(1 point) Responses 0.3 miles 0.3 miles 4.8 miles 4.8 miles 5.2 miles 5.2 miles 1.6 miles
To find out how much more of the race Trey has, we need to determine the total distance of the race.
Since Trey has completed 1/4 of the race, we can set up the equation: 1/4 * Total Distance = 1.2 miles.
Let's solve for the total distance:
1/4 * Total Distance = 1.2 miles
To isolate the Total Distance, we can multiply both sides of the equation by 4:
4 * (1/4) * Total Distance = 4 * 1.2 miles
This simplifies to:
Total Distance = 4.8 miles
Now, to find out how much more of the race Trey has left, we subtract the distance he has already run (1.2 miles) from the total distance of the race (4.8 miles):
4.8 miles - 1.2 miles = 3.6 miles
Therefore, Trey still has 3.6 miles left to complete.
The correct answer is "3.6 miles".
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
The correct equation to find the score for the last game that will give Carlos an average of 25 points is:
(27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25
Here, "s" represents the score for the last game.
Alternatively, the equation can be written as:
(143 + s)/7 = 25
This equation represents the sum of Carlos' scores in the previous 6 games (143 + s) divided by the number of games (7), which must equal 25, his target average.
Please note that in the last response, "277" seems to be a typing error, as it should not be a part of the equation.
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 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. 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 no, it is not a viable option.
To determine the inequality that represents the problem, we need to analyze the situation.
The club bought 725 candy bars for $400. If they sell each candy bar for $2, the total revenue will be equal to the number of bars multiplied by the selling price per bar. Therefore, the total revenue can be represented by 2b, where "b" represents the number of candy bars sold.
The club needs to make at least $1,000, so we can write the inequality as: 2b ≥ 1000.
However, we also need to consider the initial cost of purchasing the candy bars, which was $400. To determine if the 725 bars are a viable option to make enough profit, we need to check if the revenue (2b) minus the cost ($400) is greater than or equal to $1,000.
So, the correct inequality is: 2b - 400 ≥ 1000.
Based on this inequality, we need to solve for "b" to see if the 725 bars are a viable option.
2b - 400 ≥ 1000
2b ≥ 1400
b ≥ 700
Since the condition is b ≥ 700, meaning the number of candy bars sold is greater than or equal to 700, and the club has 725 bars, it means that selling all the bars is indeed a viable option to make enough profit.
Therefore, the correct answer is:
2b - 400 ≥ 1000, and yes, it is a viable option.