Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Josephine is taking a college course, and her professor bases the course grade on the average of 2 tests taken in the semester. She wants to know what she needs to earn on the last test to maintain her grade.

Rearrange the following equation for [tex]\( b \)[/tex], where [tex]\( C \)[/tex] is the average of 2 test scores, [tex]\( a \)[/tex] and [tex]\( b \)[/tex].

[tex]\[ C = \frac{a + b}{2} \][/tex]

A. [tex]\( b = \frac{2C}{a} \)[/tex]
B. [tex]\( b = 2C + a \)[/tex]
C. [tex]\( b = 2C - a \)[/tex]
D. [tex]\( b = 2C(a) \)[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( b \)[/tex] in the equation [tex]\( C = \frac{a + b}{2} \)[/tex], we need to rearrange the equation step-by-step.

1. Start with the given equation:
[tex]\[ C = \frac{a + b}{2} \][/tex]

2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[ 2C = a + b \][/tex]

3. Next, isolate [tex]\( b \)[/tex] by subtracting [tex]\( a \)[/tex] from both sides:
[tex]\[ 2C - a = b \][/tex]

So, the rearranged equation solving for [tex]\( b \)[/tex] is:
[tex]\[ b = 2C - a \][/tex]

This matches one of the provided options:
[tex]\[ b = 2C - a \][/tex]

Thus, the correct answer is:
[tex]\[ b = 2C - a \][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.