Question

Write the word sentence as an equation. Then solve the equation.A number multiplied by 2/5 is3/20Equation:Solution: x=

Answer 1

Answer: x=0.375

Explanation:

The sentence we have is:

"A number multiplied by 2/5 is 3/20"

We can call that number x, and we get the following equation:

`(2)/(5)x=(3)/(20)`

that is the first part.

Now we need to solve that equation for x.

Step 1: Multiply the left side and right side by 20 (to cancel the 20 in the right side)

`20((2)/(5)x)=3`

Step 2: Solve the operations on the left

`\begin{gathered} (40x)/(5)=3 \\ 8x=3 \end{gathered}`

Step 3: Divide both sides of the equation by 8

`\begin{gathered} x=(3)/(8) \\ x=0.375 \end{gathered}`

Answer: x=0.375