Answer:
To obtain equivalent amount from both foods we can eat 10 ounces of Food I and 5 Ounces of food II
To obtain minimum cholesterol, the individual should eat only 21 ounces of food II and zero ounce of food for the daily supplement of the individual
Step-by-step explanation:
Food I contains 32×C + 10×E per ounce
Food II contains 20×C + 14×E
Here we have X × (Food I) + Y × (Food II) = 420 C + 170 E
32·X + 20·Y = 420 C
10·X + 14·Y = 170 E
Therefore
X = 10 and Y = 5
To minimize the cholesterol, we can increase amount of Food II to get
21 ounces of food II gives
420 units of vitamin E and 294 units of vitamin E with 273 units of cholesterol.
3 x^{2} + 8x +(-4) = 0
x = <u>-b + √ b² - 4ac</u>
2a
x = <u>-8 + √ 8² - 4(3)(-4)</u>
2(3)
x = <u>-8 + √64 - 48 </u>
6
x = -<u>8 + √16
</u> 6<u>
</u>x = -<u>8 + 4 </u> x = <u>-8 - 4</u>
6 6<u>
</u>x = <u>-4 </u> x = <u>-12</u>
6 6
x =<u> -2 </u> x = -2<u>
</u> 3 <u>
</u>
Answer:
Diameter of the circle is 
units
Step-by-step explanation:
It is given that the vertices of the square fall on the circle.
So, the diagonal of the square is the diameter of the circle.
Also, the diagonal and the two sides of the square form a right angled triangle.
By Pythogoras theorem,
= 
= 
units
Hence, the diameter of the circle is units
Answer:
Cost = 1440 × 1.86
Cost = $2678.4
Step-by-step explanation:
The flooring costs $1.86 per square foot, or each foot squared.
First, find the total area covered by the warehouse floor.
Do this by multiplying the width of the floor by the length to find the area.
A = 30 × 48
A = 1440 feet²
Now, one square foot costs $1.86. Therefore, finding how much 1440 square feet costs will look as follows:
Cost = 1440 × 1.86
Cost = $2678.4
