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iris [78.8K]
3 years ago
6

What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Mathematics
2 answers:
rjkz [21]3 years ago
6 0
\frac{1}{2} (n - 4) - 3 = 3 - (2n + 3)  \\\\  \frac{1}{2}n - 2 - 3 = 3 -2n - 3 \\\\    \frac{1}{2}n - 5 = -2n  \\  \\  \frac{1}{2}n+2n=5 \\  \\ 2 \frac{1}{2}  n=5 \\  \\ n=5: 2\frac{1}{2} = 5 \cdot  \frac{2}{5}  \\\\  \boxed{n= 2}
Nikolay [14]3 years ago
6 0
1/2(n - 4) - 3 = 3 - (2n + 3)
Distribute the 1/2 and the negative sign.
1/2n - 2 - 3 = 3 + (-2n) - 3
Subtract the -2 and 3
1/2n - 5 = 3 + (-2n) - 3
Add the 3's
1/2n - 5 = -2n
Add 2n to both sides
5/2n − 5 = 0
Add 5 to both sides
5/2n = 5
Multiply both sides by 2/5

n = 2
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Evalute the experssion -280+12x=
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The answer is 23 1/3. First, you need to add 280 to both sides of the equations in order cancel out 280 and get 12x by itself. But remember whatever you do to one side of an equation, you must to do the other. So now you have 12x=280. Now divide both sides of the equation by 12 in order to get x completely isolated. 280 divided by twelve is 23 1/3.

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In a quiz-based program, there are three teams A, B and C. There is a total of five rounds in a game; 20 marks are given for eac
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From the given scenarios, the positions of winning of each team is; Team C came first, Team A came second and Team B came third

<h3>How to find probability of winning?</h3>

From the question, we can derive the following;

Marks gained by team A = 3 × 20 = 60 marks

Marks deducted = 2 × 10 = 20 marks

Hence;

Total marks for Team A = 60 - 20 = 40 marks

Marks gained by team B = 2 × 20 = 40 marks

Marks deducted = 2 × 10 = 20 marks

Hence, total marks of team B = 40 - 20 = 20 marks

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Marks deducted = 1 × 10 = 10 marks

Hence,  total marks of team C = 60 - 10 = 50 marks

Thus, we can conclude that;

Team C came first, Team A came second and Team B came third

Read more about Probability of winning at; brainly.com/question/24756209

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7 0
2 years ago
PLEASE HELPPP!!!! Will give brainiest!!!!
Lady_Fox [76]

Answer:

  • 0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

  • 1.34 °C
  • - 5 / 7 °C
  • - 0.75 °C
  • 4/9 ° C

<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

  • Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

  • Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

<u>3) Write the steps to solve the expression:</u>

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

  • - 5/7  ≈ 0.71428
  • 4 /9 ≈ 0.44444

<u>b. Add the four data:</u>

  • 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

  • 0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

  • 0.080004 °C ≈ 0.08 °C

7 0
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