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DanielleElmas [232]
3 years ago
7

There is a bag filled with 4 blue and 5 red marbles.

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

  • 5/9

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>

  • red, then blue or blue, then red

<u>Find the probability of each case:</u>

  • P(r, b) = 5/9*4/8 = 5/18
  • P(b, r) = 4/9*5/8 = 5/18

<u>Probability of exactly one red:</u>

  • P = 5/18*2 = 5/9
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The sum of two consecutive integers is 65. what are the two integers? show steps please.
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Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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