Answer:
The quart bottle of cola for $1.50 is the better buy.
Step-by-step explanation:
In order to compare the amount of cola per cost, you need to first use the same measurements. Since one bottle is a quart and one bottle is a liter, we need to convert one to the other. There are approximately 1.06 quarts per liter. So, for the quart bottle, we can also say it has 1.06 liters of cola. To find the price per volume, we take the cost divided by the volume: 1.50 ÷ 1.06 = $1.42. The liter bottle costs $1.57. So, the quart bottle would be cheaper overall by approximately $0.15.
Answer:
rectangle, square, circle
Step-by-step explanation:
Rectangle: length: 10 feet, Width: 50/10=5 feet
Square: length: 50/4=12.5 feet
Circle: 2pi(r)=50, radius=25/pi
Answer:
in the picture above.
Step-by-step explanation:
I hope that it's a correct answer.
Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
