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liubo4ka [24]
3 years ago
7

There are 5 exams in a semester. You have scored 77, 90, 85, and 100 on the previous four exams. What must you make on the fifth

exam to get an average of exactly 86 for the marking period?
Mathematics
1 answer:
siniylev [52]3 years ago
5 0

Answer:

<h2>The correct answer for this question is 78.</h2>

Step-by-step explanation:

  • The average or mean of any variable or mathematical phenomenon is calculated as the division of the sum of all the numbers or items within the particular variable by the total number of items or numbers within the variable.
  • In this case, the marks of the 4 exams in the semester are 77,90,85 and 100 respectively.There are total 5 exams in the semester.
  • Let's suppose that the marks for the 5th exam is x.
  • Therefore, based on the mathematical formula to compute average or mean,to get an overall average of 86 including all the 5 exams, one has to get:-

   \frac{77+90+85+100+x}{5}=86

  77+90+85+100+x=430

  x=430-77-90-85-100

  x=78

  • Hence, based on the above calculations,one has has to get 78 on the 5th exam to obtain an overall average of exactly 86.

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The greater of two numbers is 5 more than the smaller. If the
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Answer:

First number = 4

Second number = 9

Step-by-step explanation:

If the first number = x, the second number = x + 5.

The calculation can be expressed as follows:

x + 2(x + 5) = 22

First, expand the bracket 2(x + 5):

x + 2x + 10 = 22

Combine like terms:

3x + 10 = 22

Subtract 10 from both sides:

3x = 12

Divide both sides by 3:

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1 year ago
What is the slope of the line that passes through the points (2,0) and (32,-5)?
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Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

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= -1/6

y = -1/6x + b

0 = -1/6(2) + b

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IceJOKER [234]

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Step-by-step explanation:

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Answer:

10x^2-11x-6

Step-by-step explanation:

To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.

Step by step, you would:

5x * 2x = 10x^2

5x * -3 = -15x

2 * 2x = 4x

2 * -3 = -6

In an equation, it would expand to 10x^2-15x+4x-6

To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.

-15x+4x=-11x

Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.

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