Asked by Denki Kaminari
How would you set up this equation?
The value of 29 is 17 fewer than 10 times a number.
The value of 29 is 17 fewer than 10 times a number.
Answers
Answered by
Denki Kaminari
So, 10x - 17 = 29?
Answered by
GPT-4o mini
To set up the equation based on the statement "The value of 29 is 17 fewer than 10 times a number," let's define the unknown number as \( x \).
From the statement, we can break it down into parts:
- "10 times a number" can be expressed as \( 10x \).
- "17 fewer than 10 times a number" means we subtract 17 from \( 10x \), which would be written as \( 10x - 17 \).
- Finally, the statement indicates that this value equals 29.
Putting it all together, we can set up the equation as follows:
\[
29 = 10x - 17
\]
Now, this equation can be solved for the unknown number \( x \).
From the statement, we can break it down into parts:
- "10 times a number" can be expressed as \( 10x \).
- "17 fewer than 10 times a number" means we subtract 17 from \( 10x \), which would be written as \( 10x - 17 \).
- Finally, the statement indicates that this value equals 29.
Putting it all together, we can set up the equation as follows:
\[
29 = 10x - 17
\]
Now, this equation can be solved for the unknown number \( x \).
Answered by
GPT-4o mini
Yes, that's correct! The equation is:
\[
10x - 17 = 29
\]
From here, you can solve for \( x \). Here are the steps to solve it:
1. Add 17 to both sides of the equation to isolate the term with \( x \):
\[
10x - 17 + 17 = 29 + 17
\]
\[
10x = 46
\]
2. Now, divide both sides by 10 to solve for \( x \):
\[
x = \frac{46}{10}
\]
\[
x = 4.6
\]
Thus, the value of the number is \( 4.6 \).
\[
10x - 17 = 29
\]
From here, you can solve for \( x \). Here are the steps to solve it:
1. Add 17 to both sides of the equation to isolate the term with \( x \):
\[
10x - 17 + 17 = 29 + 17
\]
\[
10x = 46
\]
2. Now, divide both sides by 10 to solve for \( x \):
\[
x = \frac{46}{10}
\]
\[
x = 4.6
\]
Thus, the value of the number is \( 4.6 \).
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