I think the answer is A. 7 5/6
Answer:
a)
A to B 5 routes and B to C 4 routes
<u>Total options:</u>
b)
A to C, 20 ways as above calculation.
C to A, 20 ways as well.
<u>Total options:</u>
c)
A to C, 20 ways
<u>Return to A with different ways:</u>
- (5 - 1)(4 - 1) = 4*3 = 12
<u>Total options:</u>
B=c-5
c+b=185
so, c+(c-5)=185
2c=190
c=95
b=90
As simple as that.
Answer:
<h2>864 cm²</h2>
Step-by-step explanation:
The formula of a volume of a cube:

<em>s</em> - <em>edge</em>
We have

Substitute:
![s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/texbecause[tex]12^3=1728](https://tex.z-dn.net/?f=s%5E3%3D1728%5Cto%20s%3D%5Csqrt%5B3%5D%7B1728%7D%5C%5C%5C%5Cs%3D12%5C%20cm%5B%2Ftex%3C%2Fp%3E%3Cp%3Ebecause%3C%2Fp%3E%3Cp%3E%5Btex%5D12%5E3%3D1728)
The formula of a surface area of a cube:

(6 square faces of a cube)
Substitute:

The area of the rectangle is given as (32x+48)square inches
The question is asking us to factor this expression.The common factor of the two expression is 16.Taking 16 as the common factor we have:
(32x+48)= 16(2x+3)
The next part of the question is asking us to Write an expression for the width when length of the rectangle is 16 inches.
Area of rectangle = length x width
Let w represent the width of the rectangle.
16 (w) =16(2x+3)
Dividing both sides by 16.
w= 2x+3.