Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = ![\frac{1}{2} \times Length \times Base \times Height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20Length%20%5Ctimes%20Base%20%5Ctimes%20Height)
Volume of given rectangular prism = ![12 in^3](https://tex.z-dn.net/?f=12%20in%5E3)
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, ![12 = \frac{1}{2} \times 4 \times 2 \times Height](https://tex.z-dn.net/?f=12%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204%20%5Ctimes%202%20%5Ctimes%20Height)
![\frac{12 \times 2}{4 \times 2}=Height](https://tex.z-dn.net/?f=%5Cfrac%7B12%20%5Ctimes%202%7D%7B4%20%5Ctimes%202%7D%3DHeight)
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
The equation is ![A(d) = 80 - 4d](https://tex.z-dn.net/?f=A%28d%29%20%3D%2080%20-%204d)
Step-by-step explanation:
Linear function:
A linear function for the amount of money in an account after t days is given by:
![A(d) = A(0) - md](https://tex.z-dn.net/?f=A%28d%29%20%3D%20A%280%29%20-%20md)
In which A(0) is the initial value and m is the daily cost.
Your EZ Pass account begins with $80. It costs you $4/day.
This means that ![A(0) = 80, m = 4](https://tex.z-dn.net/?f=A%280%29%20%3D%2080%2C%20m%20%3D%204)
So
![A(d) = A(0) - md](https://tex.z-dn.net/?f=A%28d%29%20%3D%20A%280%29%20-%20md)
![A(d) = 80 - 4d](https://tex.z-dn.net/?f=A%28d%29%20%3D%2080%20-%204d)
Answer:
<h3>There are no solutions.</h3>
Step-by-step explanation:
<u>Questions:</u>
- Solve: 5.6= 3.1 – 12.5|1 – 0.8x|
<u>To find:</u>
<u>Solutions:</u><u>
</u>
- 5.6= 3.1 – 12.5|1 – 0.8x|
First, do switch sides.
![\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%5Csf%7B3.1-12.5%5Cleft%7C1-0.8x%5Cright%7C%3D5.6%7D)
<u>Multiply by 10 from both sides.</u>
![\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B3.1%2A10-12.5%7C1-0.8x%7C%2A10%3D5.6%2A10%7D)
<u>Solve.</u>
31-125|1-0.8x|=56
<u>Subtract by 31 from both sides.</u>
![\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B31-125%5Cleft%7C1-0.8x%5Cright%7C-31%3D56-31%7D)
<u>Solve.</u>
![\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B-125%5Cleft%7C1-0.8x%5Cright%7C%3D25%7D)
<u>Divide by -125 from both sides.</u>
<u>Solve.</u>
![\Longrightarrow: \sf{\dfrac{-125\left|1-0.8x\right|}{-125}=\dfrac{25}{-125}=\boxed{\sf{No\ solutions.}}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Csf%7B%5Cdfrac%7B-125%5Cleft%7C1-0.8x%5Cright%7C%7D%7B-125%7D%3D%5Cdfrac%7B25%7D%7B-125%7D%3D%5Cboxed%7B%5Csf%7BNo%5C%20solutions.%7D%7D%7D)
- <u>Therefore, the correct answer is "D. There are no solutions."</u>
<u></u>
I hope this helps, let me know if you have any questions.
B because D is to large and C is clearly not correct it is already shown and the answers that make most sense are A or B
The distance between is 5