In the equation [tex]$x / 35=7$[/tex], what is the value of [tex]$x$[/tex]?
A) 7
B) 245
C) 35
D) 5
Answer (2)
Multiply both sides of the equation by 35: 35 x × 35 = 7 × 35 .
Simplify the equation: x = 7 × 35 .
Calculate the value of x : x = 245 .
The value of x is 245 .
Explanation
Understanding the Problem We are given the equation 35 x = 7 and we need to find the value of x .
Isolating x To isolate x , we need to multiply both sides of the equation by 35. This gives us: 35 x × 35 = 7 × 35
Simplifying the Equation Simplifying the left side, we get x . Now we need to calculate 7 × 35 .
x = 7 × 35
Calculating the Value of x Multiplying 7 by 35, we get: x = 245
Final Answer Therefore, the value of x is 245.
Examples
Imagine you're distributing pamphlets in a neighborhood. If you need to cover 7 streets and each street requires 35 pamphlets, this problem helps you calculate the total number of pamphlets you need. By multiplying the number of streets by the pamphlets per street, you find the total pamphlets required. This is a practical application of basic multiplication in everyday planning and resource management.
The value of x in the equation 35 x = 7 is 245 . Thus, the correct answer is B) 245.
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