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Shkiper50 [21]
3 years ago
13

1 What is the value of x in the equation 8x - 5(x - 1) = 20?

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

1. Expand

    8x - 5x + 5 = 20

2. Simplify

    3x + 5 = 20

3. Subtract 5 from both sides

    3x = 20 - 5

4. Simplify

    3x = 15

5. Divide both sides by 3

    x = 15/3

6. Simplify

    x = 5

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Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

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So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

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On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

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3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

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