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Mathematics

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer:

A hope its right!!

Step-by-step explanation:

Have a good day!

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What is the probability of getting a spade or a red card?

Verdich [7]

Answer:

3/4

Step-by-step explanation:

1/2 the deck is red cards.

1/4 of the deck is spades.

There are no spades that are red cards, so the probability of drawing a red card or a spade at random from a well-shuffled deck is ...

1/2 + 1/4 = 3/4

5 0

3 years ago

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

2 years ago

Which equation can be used to find the volume of this solid?

valkas [14]

Answer:

the last one

Step-by-step explanation:

it's basically finding the area for a cube and then cutting it in half, so multiply it all together and then divide by 2. sorry if I'm wrong lol

8 0

2 years ago

Read 2 more answers

At Elmwood Middle School there are 4 teachers for every 68 students. There are 425 students enrolled at the school. How many tea