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disa [49]
3 years ago
15

Find the value of x9.10.12,x, 20.25 ; The median is 14.​

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer: 16  

Step-by-step explanation:

9,10,12,x ,20, 25  so we know the median is 14 which is the middle number.

Since the numbers are 6 it means there will be 2 middle numbers and if you divide them it will be 14.

we know one of the middle numbers is 12 and we trying to find x .

So we could use the equation x  + 12 = 2(14)

                                                  x + 12 = 28

                                                     -12   -12  

                                                x= 16  so X is 16.       check:  16+12=28/2 is 14.

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The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
alexgriva [62]
Let the width be x.

Length is 8 feet more than width. Length = x + 8

Area = x(x + 8)

width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)

Area  = (x + 4)(x +3)

Area remains the same

x(x + 8) = (x+4)(x +3)

x² + 8x =   x(x +3) + 4(x +3)

 x² + 8x =   x² +3x + 4x +12

x² + 8x =   x² +7x +12        Eliminate x² from both sides

8x = 7x + 12

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x = 12

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12, 12 +8 =   12, 20

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5 0
3 years ago
Read 2 more answers
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference
Rzqust [24]

The first term of the arithmetic progression exists at 10 and the common difference is 2.

<h3>How to estimate the common difference of an arithmetic progression?</h3>

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

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d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 * 5 = 50

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a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

To learn more about common differences refer to:

brainly.com/question/1486233

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2 years ago
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Goshia [24]

Answer:

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Step-by-step explanation:


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Snezhnost [94]
I believe C. The temperature is -23 degrees.

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