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3 years ago

Find the mean of the set of numbers: 15, 13, 12, 12, 20

Mathematics

2 answers:

Butoxors [25]3 years ago

6 0

The mean of the data set is 14.4

Wewaii [24]3 years ago

6 0

Add all the numbers together and divide them by the number of numbers you added to get the mean (in other words the average)

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8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

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Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

3 years ago

On monday, deborah ran 3 2/5 miles and on tuesday she ran 4 1/5 miles how many miles did she run on these 2 days togehter

Iteru [2.4K]

Convert the two fractions into simpler fractions: 3 2/5 --> 17/5 and 4 1/5 --> 21/5. Notice the the denominators are identical, so we simply add the numerators: (17 + 21)/5 = 38/5 = 7 3/5.

There is an easier way to do this, this is just the most clear way of seeing everything.

8 0

3 years ago

Please help! Nejcnrccn

mr Goodwill [35]

Answer:

Step-by-step explanation:

5 0

3 years ago

Darrin is hanging 200 feet of Christmas garland on the fencing around his house. The fence has the shape of a rectangle and full

lianna [129]

Answer:

the width is 17.5 feet and the length is 82.5 feet.

Step-by-step explanation:

The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.

We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).

Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.

Let's write this in algebraic form

$width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5$

Therefore, the width is 17.5 feet.

Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:

$5x-5=5(17.5)-5=87.5-5=82.5$ feet

Therefore, the width is 17.5 feet and the length is 82.5 feet.

7 0

3 years ago

Solve pleaseeeeeeeee

Reil [10]

Answer:

-3(2 - 4x) ≤ 18

⇔ -6 + 12x ≤ 18

⇔ 12x ≤ 18 + 6

⇔ 12x ≤ 24

⇔ x ≤ 24/12

⇔ x ≤ 2

3 0

3 years ago