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Answer :
Sure! Let's go step-by-step to rewrite the sentence as an equation.
The sentence given is:
"205 is 126 increased by [tex]\( q \)[/tex]."
1. First, identify what each part of the sentence translates to in mathematical terms:
- "205 is" means [tex]\( 205 = \)[/tex].
- "126 increased by [tex]\( q \)[/tex]" means you start with 126 and add [tex]\( q \)[/tex]: [tex]\( 126 + q \)[/tex].
2. Putting it all together, "205 is 126 increased by [tex]\( q \)[/tex]" becomes:
[tex]\[
205 = 126 + q
\][/tex]
This is the equation based on the given sentence:
[tex]\[
205 = 126 + q
\][/tex]
To solve for [tex]\( q \)[/tex], you rearrange the equation:
1. Subtract 126 from both sides to isolate [tex]\( q \)[/tex]:
[tex]\[
q = 205 - 126
\][/tex]
2. Perform the subtraction:
[tex]\[
q = 79
\][/tex]
So, the equation is [tex]\( 205 = 126 + q \)[/tex], and the value of [tex]\( q \)[/tex] is 79.
The sentence given is:
"205 is 126 increased by [tex]\( q \)[/tex]."
1. First, identify what each part of the sentence translates to in mathematical terms:
- "205 is" means [tex]\( 205 = \)[/tex].
- "126 increased by [tex]\( q \)[/tex]" means you start with 126 and add [tex]\( q \)[/tex]: [tex]\( 126 + q \)[/tex].
2. Putting it all together, "205 is 126 increased by [tex]\( q \)[/tex]" becomes:
[tex]\[
205 = 126 + q
\][/tex]
This is the equation based on the given sentence:
[tex]\[
205 = 126 + q
\][/tex]
To solve for [tex]\( q \)[/tex], you rearrange the equation:
1. Subtract 126 from both sides to isolate [tex]\( q \)[/tex]:
[tex]\[
q = 205 - 126
\][/tex]
2. Perform the subtraction:
[tex]\[
q = 79
\][/tex]
So, the equation is [tex]\( 205 = 126 + q \)[/tex], and the value of [tex]\( q \)[/tex] is 79.
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