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frutty [35]
3 years ago
15

I need help with this V-4=v+2+7v-42 ??

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:

\boxed{\bold{v \ = \ \frac{36}{7}}}

Step-by-step explanation:

Subtract v from both sides

\bold{v-4-v=v+2+7v-42-v}

Simplify

\bold{-4=2+7v-42}

Switch sides

\bold{2+7v-42=-4}

Group like terms

\bold{7v+2-42=-4}

Subtract the numbers: 2 - 42 = -40

\bold{7v-40=-4}

Add 40 to both sides

\bold{7v-40+40=-4+40}

Simplify

\bold{7v=36}

Divide both sides by 7

\bold{\frac{7v}{7}=\frac{36}{7}}

Simplify

➤ \bold{v=\frac{36}{7}}

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Complete Question

In your biology class, your final  grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)

Answer:

The weighted average is  W = 87.65

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  25% of total grade

  The worth of each major  test is   22.5% of total grade

   The worth of final exam is  30% of total grade

The  score on lab is  92

The score on first major test 81

The score on second major test 93

 The score on final  exam is  85

Generally the weighted score is mathematically represented as

     W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

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