Movie Theatre A has a popcorn machine with a 100-gallon capacity, and sells 3 gallons of popcorn per hour. Movie Theatre B has a popcorn machine with a 150-gallon capacity, and sells 5 gallons of popcorn per hour. Write an equation to show when the two popcorn machines will have the same amount of popcorn left. Use x as your variable.(1 point) Responses 100−3x=150−5x 100 minus 3 x equals 150 minus 5 x 3x−100=5x−150 3 x minus 100 equals 5 x minus 150 100+3x=150+5x 100 plus 3 x equals 150 plus 5 x 150+3x=100+5x
The correct equation to show when the two popcorn machines will have the same amount of popcorn left is:
100 - 3x = 150 - 5x
Two machines at a factory are filling cans of soup. One machine has already filled 180 cans of soup, and fills cans at a rate of 15 per minute. The second machine has already filled 210 cans of soup, and fills cans at a rate of 12 per minute. Write an equation to show when the two machines will have filled the same number of cans of soup. Use x as your variable.(1 point) Responses 12x+180=15x+210 12 x plus 180 equals 15 x plus 210 12x+210=15x+180 12 x plus 210 equals 15 x plus 180 210−12x=180−15x 210 minus 12 x equals 180 minus 15 x 12x−210=15x−180
The correct equation to show when the two machines will have filled the same number of cans of soup is:
12x + 180 = 15x + 210
An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 180-cup capacity, and it sells 20 cups per day. The chocolate ice cream machine has a 140-cup capacity, and it sells 16 cups per day. Write and solve an equation to show when the two machines will have the same amount of ice cream left.(1 point) Responses 140+16x=180+20x ; x=10 140 plus 16 x equals 180 plus 20 x ; x equals 10 180−20x=140−16x ; x=20 180 minus 20 x equals 140 minus 16 x ; x equals 20 180−20x=140−16x ; x=10 180 minus 20 x equals 140 minus 16 x ; x equals 10 180+16x=140+20x ; x=−10
The correct equation to show when the two machines will have the same amount of ice cream left is:
140 + 16x = 180 + 20x
To solve this equation, we can start by subtracting 16x from both sides:
140 = 180 + 4x
Next, we can subtract 180 from both sides:
-40 = 4x
Finally, we can divide both sides by 4:
-10 = x
So, the two machines will have the same amount of ice cream left after 10 days.
An ice cream shop makes vanilla and chocolate ice cream. The vanilla ice cream machine has a 180-cup capacity, and it sells 20 cups per day. The chocolate ice cream machine has a 140-cup capacity, and it sells 16 cups per day. Write and solve an equation to show when the two machines will have the same amount of ice cream left.(1 point) Responses 140+16x=180+20x ; x=10 140 plus 16 x equals 180 plus 20 x ; x equals 10 180−20x=140−16x ; x=20 180 minus 20 x equals 140 minus 16 x ; x equals 20 180−20x=140−16x ; x=10 180 minus 20 x equals 140 minus 16 x ; x equals 10 180+16x=140+20x ; x=−10 give me one responeses
140 + 16x = 180 + 20x
To solve this equation, we can start by subtracting 16x from both sides:
140 = 180 + 20x - 16x
Next, we can combine like terms:
140 = 4x + 180
Then, we can subtract 180 from both sides:
140 - 180 = 4x
-40 = 4x
Finally, we can divide both sides by 4:
-10 = x
Therefore, the two machines will have the same amount of ice cream left after 10 days.