N(-2,-2) after a 90 degree counterclockwise rotation
1 answer:
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Answer:
1.1x
x + 0.1x
Step-by-step explanation:
The manager of a store marks up all items by 10%.
So, if the original price of any item is x, then increase for markup is 10% of x i.e. .
Hence, the expression that represents the new price with the markup is (x + 0.1x) = 1.1x.
Therefore, options C and D i.e. 1.1x and (x + 0.1x) both are the required expression for the new price. (Answer)
Answer:
Let x ounce of chicken and y ounce of tofu were taken,
∵ One ounce of chicken provides 35 Calories and 8.5 g of protein,
So, in x ounces of chicken
Calories = 35x, Protein = 8.5x grams,
Now, One ounce of tofu provides 20 Calories and 2.5 g of protein.
So, in y ounces of tofu,
Calories = 20y and protein = 2.5y grams,
Thus, the total calories = 35x + 20y,
Total protein = 8.5x + 2.5y
According to the question,
35x + 20y ≥ 300 -----(1),
8.5x + 2.5y ≥ 48 ----(2),
Now, the cost of a pound for chicken = $ 5,
So, the cost of 16 ounces of chicken = $ 5 ( ∵ 1 pound = 16 ounces ),
⇒ the cost of 1 ounces of chicken = dollars,
Similarly, the cost of a pound of tofu = $ 2.5,
So, the cost of 1 ounces of tofu = dollars,
Thus, the total cost of x ounces of chicken and y ounces of tofu
Now, by graphing the above constraints ( by equation (1) and (2) )
We get a feasible region that shows the possible values of x and y,
The boundary points of the feasible region are,
(2.545, 10.545), (0, 19.2), (8.571, 0)
Hence, the minimum cost is $ 2.443,
For which 2.545 ounces of chicken and 10.545 ounces of tofu should be eaten.
