Number 5.)
A.)
First, we would want to make an equation. Aiden knows that each nickel is 3.2 grams. He also knows that his collection is 185.6 grams. Therefore, his collection can be represented by the following(x being equal to how many nickels he has)
3.2x=185.6
You can find out how many nickels he has by isolating the variable. In this case, you would simply divide each side by 3.2. Giving us:
x=58
Aiden has 58 nickels in his collection.
B)
This is built off number 5. A nickel is five cents. Aiden has 58 nickels. To find the total amount of change he has, we can make the following equation:
5(58)=y
Then simply
Aiden has 290 cents. Or 2 dollars and 90 cents.
I don’t know how to solve the rest. Sorry!
Hello,
The slope of the 1st side is 2 (y=2x)
The slope of the 2 nd side is -1/2 (y=-x/2+5/2)
The two sides are perpendicular so we can find the vertex.
y=2x (1)
2y+x=5
If we substitue y by is value in (1)
2(2x)+x=5==>5x=5
==>x=1 and y=2*1=2
Vertex is (1,2)
In order to find the rectangle we must know an other vertex.
1/36
the first one has a probability of 1/6
the second one or 1/6
if you multiply them together you get 1/36
They were multiplied together since the two events depend on each other. If one does nit get a 4, then both of them will obviously not have a 4
Answer:
![\dfrac{1}{a^6}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7Ba%5E6%7D%20)
Step-by-step explanation:
![a^{-6}x^0 =](https://tex.z-dn.net/?f=%20a%5E%7B-6%7Dx%5E0%20%3D%20)
![= \dfrac{1}{a^6} \times 1](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7Ba%5E6%7D%20%5Ctimes%201%20)
![= \dfrac{1}{a^6}](https://tex.z-dn.net/?f=%20%3D%20%5Cdfrac%7B1%7D%7Ba%5E6%7D%20)