Thank you for visiting The sum of 4 6 and one third of a number is at most 39 1 What are all the possible values of the number. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the inequality [tex]\( \frac{1}{3}n + 4.6 \leq 39.1 \)[/tex], follow these steps:
1. Isolate the term with [tex]\( n \)[/tex]:
Start by getting rid of the constant term (4.6) on the left side. To do this, subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying both sides gives:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], you need to get rid of the fraction [tex]\(\frac{1}{3}\)[/tex]. Multiply both sides by 3:
[tex]\[
3 \times \frac{1}{3}n \leq 3 \times 34.5
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\( n \)[/tex] are such that [tex]\( n \leq 103.5 \)[/tex].
So the correct choice is [tex]\( n \leq 103.5 \)[/tex].
1. Isolate the term with [tex]\( n \)[/tex]:
Start by getting rid of the constant term (4.6) on the left side. To do this, subtract 4.6 from both sides of the inequality:
[tex]\[
\frac{1}{3}n + 4.6 - 4.6 \leq 39.1 - 4.6
\][/tex]
Simplifying both sides gives:
[tex]\[
\frac{1}{3}n \leq 34.5
\][/tex]
2. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], you need to get rid of the fraction [tex]\(\frac{1}{3}\)[/tex]. Multiply both sides by 3:
[tex]\[
3 \times \frac{1}{3}n \leq 3 \times 34.5
\][/tex]
This simplifies to:
[tex]\[
n \leq 103.5
\][/tex]
Therefore, the possible values of the number [tex]\( n \)[/tex] are such that [tex]\( n \leq 103.5 \)[/tex].
So the correct choice is [tex]\( n \leq 103.5 \)[/tex].
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