<h2>Answer:</h2>
![10.\text{ Option B is correct}](https://tex.z-dn.net/?f=10.%5Ctext%7B%20Option%20B%20is%20correct%7D)
<h2>Explanation:</h2>
Given the equation expressed as:
![2x+5=8x](https://tex.z-dn.net/?f=2x%2B5%3D8x)
First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:
![\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%2B5-5%3D8x-5%20%5C%5C%202x%2B%5Ccancel%7B5%7D-%5Ccancel%7B5%7D%3D8x-5%20%5C%5C%202x%3D8x-5%20%5Cend%7Bgathered%7D)
Step 3: Subtract 8x from both sides
![\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x-8x%3D8x-8x-5%20%5C%5C%20-6x%3D%5Ccancel%7B8x%7D-%5Ccancel%7B8x%7D-5%20%5C%5C%20-6x%3D-5%20%5Cend%7Bgathered%7D)
Step 4: Divide both sides by -6
![\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-6x%7D%7B-6%7D%3D%5Cfrac%7B-5%7D%7B-6%7D%20%5C%5C%20x%3D%5Cfrac%7B5%7D%7B6%7D%20%5Cend%7Bgathered%7D)
Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:
![\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2012x%3D12%28%5Cfrac%7B5%7D%7B6%7D%29%20%5C%5C%2012x%3D%5Ccancel%7B12%7D%5E2%28%5Cfrac%7B5%7D%7B%5Ccancel%7B6%7D%5E1%7D%29%20%5C%5C%2012x%3D2%5Ctimes5%20%5C%5C%2012x%3D10%20%5Cend%7Bgathered%7D)
Therefore the value of 12x is 10
To find the decimal value, we must convert 1/2 and 3/4 into decimal.
1/2=0.5
3/4=0.75
Now we just have choose a random decimal in between the decimal.
Let's choose 0.6
Now we have to convert the decimal into a fraction. So we'll multiply the decimal by100.
0.6×100=60
Then we make the 60 into a fractions. 60/100
Then we'll simply the fraction. 60/100÷10=6/10÷2=3/5
There you go. You have your answer.
Answer:
8.25% is the interest rate on this account
Answer:
7.5 miles per hour
Step-by-step explanation:
Average Speed = Total Distance/Total Time
= 7.5 miles/hour
Answer from Gauthmath