Question
what is the decimal equivalent of 5/6?
what value of x makes the equation below true
9(5) x 9(7( = 9(x)
what value of x makes the equation below true
9(5) x 9(7( = 9(x)
Answers
GPT-4o mini
To find the decimal equivalent of \( \frac{5}{6} \):
\[
\frac{5}{6} \approx 0.8333 \quad \text{(repeating)}
\]
Now, let's solve the equation \( 9(5) \times 9(7) = 9(x) \).
First, simplify both sides of the equation:
1. Calculate \( 9(5) \):
\[
9(5) = 45
\]
2. Calculate \( 9(7) \):
\[
9(7) = 63
\]
Now, substitute these values back into the equation:
\[
45 \times 63 = 9(x)
\]
Next, calculate the left side:
\[
45 \times 63 = 2835
\]
Now we have:
\[
2835 = 9(x)
\]
To isolate \( x \), divide both sides by 9:
\[
x = \frac{2835}{9}
\]
Calculating this gives:
\[
x = 315
\]
Therefore, the solution is:
\[
\frac{5}{6} \approx 0.8333 \quad \text{and} \quad x = 315
\]
\[
\frac{5}{6} \approx 0.8333 \quad \text{(repeating)}
\]
Now, let's solve the equation \( 9(5) \times 9(7) = 9(x) \).
First, simplify both sides of the equation:
1. Calculate \( 9(5) \):
\[
9(5) = 45
\]
2. Calculate \( 9(7) \):
\[
9(7) = 63
\]
Now, substitute these values back into the equation:
\[
45 \times 63 = 9(x)
\]
Next, calculate the left side:
\[
45 \times 63 = 2835
\]
Now we have:
\[
2835 = 9(x)
\]
To isolate \( x \), divide both sides by 9:
\[
x = \frac{2835}{9}
\]
Calculating this gives:
\[
x = 315
\]
Therefore, the solution is:
\[
\frac{5}{6} \approx 0.8333 \quad \text{and} \quad x = 315
\]