MATHEMATICS MIDDLE SCHOOL

5(x + 3)= 4(x -3)
What is x?

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

We will have to open the bracket first followed by collecting the like terms

Open the bracket first

5(x+3)=4(x-3)

5x+15=4x-12

Collect like terms

5x-4x=-12-15

x=-27

So the final answer is-27
Answer 2
Answer:

Answer:

-27

Step-by-step explanation:

5(x+3) = 4(x-3)

5x + 15 = 4x - 12

5x - 4x = -12 - 15

X = -27

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Here is the histogram of a data distribution. All class widths are 1. What is the median of the distribution? A. 10
B. 7
C. 8
D. 6

Answers

Median of the data distribution given in the histogram using the cumulative frequency is 8.

The class width = 1

The values of the data are,

4, 1, 1, 1, 1, 3, 4, 4, 6.

Cumulative frequencies = 4, 5, 6, 7, 8, 11, 15, 19, 25

n = 25 and n/2 = 12.5

Median lies on the 12.5th observation.

12.5th observation lies in the class where cumulative frequency is 15.

Median class is 7.5 - 8.5.

l, lower limit of median class = 7.5

n = 25

f = frequency of median class = 4

cf, cumulative frequency of class preceding the median class = 11

h, class size = 1

Median = l + [(n/2 - cf) / f] h

            = 7.5 + [(25/2 - 11) / 4] 1

            = 7.875 ≈ 8

Learn more about Median here :

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First of all, we have to know what median is.

Median- the middle number.

So we have to organize the numbers in roofer from least to greatest, so we have to count how many 2,3,4,5,6s there are and so fourth.

I’ll have them listed for you.

2 2 2 2 3 4 5 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10.

Next step is to find the middle number (s). If it has an even amount of numbers, we have to take the two middle numbers and divided by two.
If there are an odd amount of numbers, we just pick the middle number.
[i.e: 2 3 4; the middle number here is 3]
[i.e: 2 3 4 5; the middle number is 3+4=7 divided by 2 which equals 3.5]

Okay so let’s count how many numbers there are.
There are 25 numbers in total, so therefore there are 2 middle number (s).

So let’s divided 25/2 to get the two middle numbers, which is 12.5, therefore numbers 12-13 are middle numbers.

So let’s count what number is 12 and 13. When you count the numbers in order, you can tell that 8 and 8 are numbers of 8.

The final step is to just calculate by adding both numbers and dividing by two because we are trying to find the middle number(average number).

8 + 8 = 16
16/2= 8

The median for this question is 8.

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What is 16 1/4 as a regular fraction

Answers

Answer:

16 times 4 equals 64 then plus 1 equals 65 ANSWER: 65

Final answer:

The mixed number 16 1/4 can be converted into a regular fraction by multiplying the whole number by the denominator and adding the numerator. This gives us 65/4.

Explanation:

The mixed number 16 1/4 can be converted into a regular fraction (also known as an improper fraction) by following these steps:

  1. Multiply the whole number part (16) by the denominator of the fraction part (4). This will give you 64.
  2. Add the result to the numerator of the fraction part (1). This will give you 65.
  3. Write your answer over the denominator. So, 16 1/4 as an improper fraction is 65/4.

So, when expressed as a regular fraction, 16 1/4 becomes 65/4.

Learn more about Conversion of Fractions here:

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a rectangle has an area of 30 square meters and a perimeter of 34 meters. what are the dimensions of the rectangle?

Answers