The equations that can be used are 10T + 5S = 190 and T + S = 30.
<h3><u>Equations</u></h3>
Given that the girls tennis team was interested in raising funds for an upcoming trip, and the team sold tumblers for $10 and sun hats for $5, and when the sales were over, the team had earned $190 and sold 30 total products, which included a mix of tumblers and hats, to determine which equations can be used to represent the situation, the following calculations must be made:
- T + S =190
- -It cannot be used because it has any relationship with the price of the products.
- 10T + 5S = 30
- -It cannot be used because it only considers the quantity variable.
- T + S = 30
- -It can be used as it shows the amount of products sold.
- 10T + 5S = 190
- -It can be used because it relates the total price to the quantity of each product.
- T + S = 15
- -It cannot be used because it only considers the price variable.
- 5T + 10S = 190
- -It cannot be used because it erroneously relates the price of each product.
Therefore, the equations that can be used are 10T + 5S = 190 and T + S = 30.
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Answer:
The solution to this equation could not be determined.
Step-by-step explanation:
Simplifying
a(c + -1b) = d
Reorder the terms:
a(-1b + c) = d
(-1b * a + c * a) = d
(-1ab + ac) = d
Solving
-1ab + ac = d
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Combine like terms: d + -1d = 0
-1ab + ac + -1d = 0
The solution to this equation could not be determined.
18 divided by 30 is 0.6. So I would say that B, or 0.6, is the correct answer.
Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.