Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other is already filled with 10 gallons, and it is continuing to fill at a rate of 4 gallons per minute. Write an equation to show when the two vats will have an equal amount of liquid. Use x as your variable.
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9 answers
6x = 10 + 4x
A yoga studio has two participation plans. For the first plan, the cost is $8 per visit. For the second plan, the cost is $40 per month, and $2 per visit. Write an equation to show the number of visits per month that it would take for the two plans to be equal. Use x as your variable.
8x = 40 + 2x
A diner makes vanilla milkshakes and chocolate milkshakes. The vanilla milkshake machine has a 300-cup capacity, and sells 15 cups per day. The chocolate milkshake machine has a 280-cup capacity, and sells 20 cups per day. Write an equation to show when the two machines will have the same amount of milkshake left. Use x as your variable.
300 - 15x = 280 - 20x
Two pumps are filling large vats of liquid. One vat is empty, and the pump is filling it at a rate of 6 gallons per minute. The other vat already contains 28 gallons and is continuing to fill at a rate of 4 gallons per minute. When will the two vats have the same amount of liquid?(1 point) They will have the same amount of liquid after minutes.
Let's use x as the number of minutes it takes for the two vats to have the same amount of liquid.
The first vat, which is empty, is being filled at a rate of 6 gallons per minute. Therefore, after x minutes, it will have a total of 6x gallons of liquid.
The second vat already contains 28 gallons and is being filled at a rate of 4 gallons per minute. Therefore, after x minutes, it will have a total of 28 + 4x gallons of liquid.
To find when the two vats have the same amount of liquid, we need to set up the equation:
6x = 28 + 4x
Simplifying the equation, we get:
2x = 28
Dividing both sides of the equation by 2, we find:
x = 14
Therefore, the two vats will have the same amount of liquid after 14 minutes.
The first vat, which is empty, is being filled at a rate of 6 gallons per minute. Therefore, after x minutes, it will have a total of 6x gallons of liquid.
The second vat already contains 28 gallons and is being filled at a rate of 4 gallons per minute. Therefore, after x minutes, it will have a total of 28 + 4x gallons of liquid.
To find when the two vats have the same amount of liquid, we need to set up the equation:
6x = 28 + 4x
Simplifying the equation, we get:
2x = 28
Dividing both sides of the equation by 2, we find:
x = 14
Therefore, the two vats will have the same amount of liquid after 14 minutes.
A yoga studio has two participation plans. The first plan costs $10 per visit. The second plan costs $30 per month, and $4 per visit. How many visits would make the cost of both plans the same?(1 point) The plans would cost the same at visits.
Let's use x as the number of visits that would make the cost of both plans the same.
For the first plan, the cost per visit is $10. Therefore, the total cost for x visits would be 10x.
For the second plan, there is a monthly cost of $30 plus $4 per visit. So, if we make x visits, the total cost would be 30 + 4x.
To find when the costs of both plans are the same, we need to set up the equation:
10x = 30 + 4x
Simplifying the equation, we get:
6x = 30
Dividing both sides of the equation by 6, we find:
x = 5
Therefore, the plans would cost the same after 5 visits.
For the first plan, the cost per visit is $10. Therefore, the total cost for x visits would be 10x.
For the second plan, there is a monthly cost of $30 plus $4 per visit. So, if we make x visits, the total cost would be 30 + 4x.
To find when the costs of both plans are the same, we need to set up the equation:
10x = 30 + 4x
Simplifying the equation, we get:
6x = 30
Dividing both sides of the equation by 6, we find:
x = 5
Therefore, the plans would cost the same after 5 visits.
1 answer