How do you solve #64=6.28 imes \frac{x}{32}#?

Question

How do you solve #64=6.28	imes \frac{x}{32}#?

Eva Adamson · Accepted Answer

See a solution process below:

Multiply each side of the equation by #color(red)(32)/color(blue)(6.28)# to solve for #x# while keeping the equation balanced: #color(red)(32)/color(blue)(6.28) xx 64 = color(red)(32)/color(blue)(6.28) xx 6.28 xx x/32# #2048/color(blue)(6.28) = cancel(color(red)(32))/cancel(color(blue)(6.28)) xx color(blue)(cancel(color(black)(6.28))) xx x/color(red)(cancel(color(black)(32)))# #326.11 = x# #x = 326.11# rounded to the nearest hundredth

Savannah Anderson · Answer

undefined To solve the equation $ 64 = 6.28 \times \frac{x}{32} $, you can follow these steps:

1. First, isolate $ \frac{x}{32} $ by dividing both sides of the equation by 6.28:

$$ \frac{64}{6.28} = \frac{6.28 \times \frac{x}{32}}{6.28} $$

2. Simplify the right side of the equation:

$$ \frac{64}{6.28} = \frac{x}{32} $$

3. Multiply both sides of the equation by 32 to solve for $ x $:

$$ x = \frac{64}{6.28} \times 32 $$

4. Calculate the value of $ x $:

$$ x = \frac{64 \times 32}{6.28} $$

$$ x \approx \frac{2048}{6.28} $$

$$ x \approx 326.75 $$

So, the solution to the equation $ 64 = 6.28 \times \frac{x}{32} $ is approximately $ x \approx 326.75 $.

How do you solve #64=6.28\times \frac{x}{32}#?