Find x such that `-5/8` and `x/(-48)` are equivalent.

Options

A. `x=30`
B. `x=25`
C. `x=35`
D. `x=40`

Answer

To solve the problem of finding \( x \) such that \( -\frac{5}{8} \) and \( \frac{x}{-48} \) are equivalent, we can follow these steps:

### Step 1: Understand the concept of equivalent fractions
Two fractions are equivalent if they represent the same value. This means that we can set them equal to each other.

### Step 2: Set up the equation
We can write the equation based on the equivalence of the two fractions:
\[ -\frac{5}{8} = \frac{x}{-48} \]

### Step 3: Cross-multiply to eliminate the fractions
To solve for \( x \), we can cross-multiply:
\[ -5 \times (-48) = 8 \times x \]

### Step 4: Calculate the left side
Calculating the left side gives:
\[ 5 \times 48 = 240 \]
So, we have:
\[ 240 = 8x \]

### Step 5: Solve for \( x \)
Now, divide both sides by 8 to isolate \( x \):
\[ x = \frac{240}{8} \]

### Step 6: Perform the division
Calculating the division gives:
\[ x = 30 \]

### Final Answer
Thus, the value of \( x \) is:
\[ \boxed{30} \]

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