Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Sure, let's break down the phrase step-by-step to construct the appropriate mathematical expression.
1. Identify the sum part:
The phrase asks for the sum of 17 and 21. Mathematically, this is written as:
[tex]\[ 17 + 21 \][/tex]
2. Double the sum:
To double means to multiply by 2. Therefore, we need to take the sum we found in the first step and multiply it by 2.
Combining both steps, the expression becomes:
[tex]\[ 2 \times (17 + 21) \][/tex]
This can also be written as:
[tex]\[ 2(17 + 21) \][/tex]
Now let's consider the given options one by one:
1. [tex]\(\frac{1}{2}(17+21)\)[/tex]: This represents half of the sum of 17 and 21, not double the sum.
2. [tex]\(2+17+21\)[/tex]: This adds 2, 17, and 21 directly, rather than doubling the sum of 17 and 21.
3. [tex]\(\frac{17+21}{2}\)[/tex]: This represents half of the sum of 17 and 21, again not double the sum.
4. [tex]\(2(17+21)\)[/tex]: This correctly represents double the sum of 17 and 21.
Thus, the correct mathematical representation of the phrase "double the sum of 17 and 21" is:
[tex]\[ 2(17 + 21) \][/tex]
When we compute [tex]\(17 + 21\)[/tex], we get 38. Doubling this result, we get:
[tex]\[ 2 \times 38 = 76 \][/tex]
Therefore, the numerical results are:
[tex]\[ (38, 76) \][/tex]
This confirms that the correct choice among the given options is:
[tex]\[ 2(17 + 21) \][/tex]
1. Identify the sum part:
The phrase asks for the sum of 17 and 21. Mathematically, this is written as:
[tex]\[ 17 + 21 \][/tex]
2. Double the sum:
To double means to multiply by 2. Therefore, we need to take the sum we found in the first step and multiply it by 2.
Combining both steps, the expression becomes:
[tex]\[ 2 \times (17 + 21) \][/tex]
This can also be written as:
[tex]\[ 2(17 + 21) \][/tex]
Now let's consider the given options one by one:
1. [tex]\(\frac{1}{2}(17+21)\)[/tex]: This represents half of the sum of 17 and 21, not double the sum.
2. [tex]\(2+17+21\)[/tex]: This adds 2, 17, and 21 directly, rather than doubling the sum of 17 and 21.
3. [tex]\(\frac{17+21}{2}\)[/tex]: This represents half of the sum of 17 and 21, again not double the sum.
4. [tex]\(2(17+21)\)[/tex]: This correctly represents double the sum of 17 and 21.
Thus, the correct mathematical representation of the phrase "double the sum of 17 and 21" is:
[tex]\[ 2(17 + 21) \][/tex]
When we compute [tex]\(17 + 21\)[/tex], we get 38. Doubling this result, we get:
[tex]\[ 2 \times 38 = 76 \][/tex]
Therefore, the numerical results are:
[tex]\[ (38, 76) \][/tex]
This confirms that the correct choice among the given options is:
[tex]\[ 2(17 + 21) \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.