Pergunta

Question 8/Multiple Choice Worth 1 points) (01.06 LC) 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 b, where C is the average of 2 test scores, a and b. c=(a+b)/(2) b=(2C)/(a) b=2c+a b=2C-a b=2C(a)
Solução

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TomasMestre · Tutor por 5 anos
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The correct answer is b=2c-a.
Explicação
## Step 1
The problem provides us with the equation c=\frac{a+b}{2}, which represents the average of two test scores, a and b, being equal to the course grade, c.
## Step 2
To isolate b, we need to perform the following steps:
1. Multiply both sides of the equation by 2 to get rid of the denominator on the right side. This gives us 2c=a+b.
2. Subtract a from both sides to isolate b. This gives us b=2c-a.
The problem provides us with the equation c=\frac{a+b}{2}, which represents the average of two test scores, a and b, being equal to the course grade, c.
## Step 2
To isolate b, we need to perform the following steps:
1. Multiply both sides of the equation by 2 to get rid of the denominator on the right side. This gives us 2c=a+b.
2. Subtract a from both sides to isolate b. This gives us b=2c-a.
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