Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of h
2 answers:
Let x denote the quarts of Tuscan sauce and
y denote the quarts of marinara sauce that Tiffany produces.
Each quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil
Hence, x quarts need 6x tomatoes and 1x cups of oil
For marinara sauce, a quart requires 5 tomatoes and 1.25 cups of oil
Thus, y quarts will require 5y tomatoes and 1.25y cups of oil
She has a stock of 45 tomatoes and 10 cups of oil available.
The constraints are:
x>=0 and y>=0
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Answer:
To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation
1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation
After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, for equations of the type 0 = a·x² - b·x + c.
When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.
Step-by-step explanation:
The weight of an orangutan is 64.5 kilograms
Solution:
It is stated that the orangutan's weight is 142 pounds
Additionally,
1 kilogram is approximately 2.2 pounds
We will now convert 142 pounds into kilograms
1 kilogram = 2.2 pounds
As a result, 142 pounds translates to
When rounding to the nearest tenth, we obtain 64.5 kilograms
Therefore the mass of the orangutan is 64.5 kilograms