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 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 c−58=39 and 97
The correct equation is c + 39 = 58, which means the number of cans already on the shelf, represented by c, plus 39 equals 58.
To solve the equation, we subtract 39 from both sides of the equation:
c + 39 - 39 = 58 - 39
c = 19
Therefore, there are 19 cans already on the shelf.
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 4.8 miles 4.8 miles 1.6 miles 1.6 miles 0.3 miles 0.3 miles 5.2 miles
To find out how much more of the race Trey has left, we need to subtract the distance he has already run from the total distance of the race.
Since Trey has completed 1/4 of the race, we know that the distance he has already run (1.2 miles) is equal to 1/4 of the total distance.
1/4 * Total distance = 1.2 miles
To find the total distance, we need to solve the equation for the total distance.
Total distance = (1.2 miles) / (1/4)
Total distance = (1.2 miles) * (4/1)
Total distance = 4.8 miles
Therefore, Trey has 4.8 miles left to complete the race.
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 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 greater than or equal to 1000 , and no, it is not a viable option. 2b−400≤1000 , and yes, it is a viable option.
The correct inequality is 2b - 400 ≥ 1000, and yes, it is a viable option.
To represent the situation mathematically, let b represent the number of candy bars sold.
The total revenue from selling b candy bars is given by 2b (since each bar is sold for $2).
The club bought 725 bars for $400, so the cost of buying those bars is $400.
To go on their trip, the club needs to make at least $1,000 in revenue.
Therefore, the inequality is 2b - 400 ≥ 1000. This inequality represents that the revenue (2b) minus the cost ($400) is greater than or equal to $1000.
To determine if the option of selling 725 bars is viable, we need to substitute b = 725 into the inequality:
2(725) - 400 ≥ 1000
1450 - 400 ≥ 1000
1050 ≥ 1000
Since 1050 is indeed greater than or equal to 1000, the option of selling 725 bars is viable.
A large bin can store up to 44 towels. A small bin can hold three-fourths the volume of a large bin. You have already put 17 in the small bin. How many more towels can you store?(1 point) You can store up to more towels.
To find out how many more towels can be stored in the small bin, we need to calculate the remaining capacity of the small bin.
The small bin can hold three-fourths the volume of a large bin, which means it can hold (3/4) * 44 towels.
To determine the remaining capacity, we subtract the number of towels already placed in the small bin (17 towels) from the total capacity of the small bin:
(3/4) * 44 - 17
We can simplify this expression:
33 - 17 = 16
Therefore, you can store up to 16 more towels in the small bin.
You are playing a new video game. It says that you have completed 1/5 of the game. You have played for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at this rate.(1 point) It will take minutes to complete the game.
To find out how long it will take to complete the game, we first need to determine the proportion of the game completed in 23 minutes. Since it is stated that 1/5 of the game has been completed, we can set up the following equation:
(1/5) * Total time = 23 minutes
To solve for the total time, we can isolate the variable:
Total time = (23 minutes) / (1/5)
Total time = 23 minutes * (5/1)
Total time = 115 minutes
Therefore, it will take 115 minutes to complete the game.