Corey has 140 marbles. He gives 16 to his younger brother. He divides the rest equally into four bags. How many go in each bag?
1 answer:
You might be interested in
Given:
Number calories in a 6-inch pizza = 640 calories
For the pizza of 6 inch
For the pizza of 12 inch
Number calories in a 6-inch pizza = 640 calories, therefore:
Substitute:
And solve for x:
Now, Estimate the number of calories in one slice of a 12 inch pizza:
Answer: 320 calories
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
