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Alexxandr [17]
2 years ago
13

A length of string that is 240 cm long is cut into three pieces the second piece is 25% longer than the first piece the third pi

ece is 25% shorter than the first piece . how long is each piece
Mathematics
2 answers:
Tresset [83]2 years ago
6 0
Hey there,
Let's say that the first piece is x cm
1st = x
2nd = x + 25%
3rd = x - 25%
100% = 240 cm
1% = 240 / 100
      = 2.4cm
x + x + 25 + x - 25 = 100
3x + 25 - 25 = 100
3x = 100 - 25 + 25
3x = 100
3x = 240 cm
x = 240 / 3
   = 80 cm
1st piece = 80 cm
2nd piece = 80 + (25% x 80)
                = 80 + 20
                = 100cm
3rd piece = 80 cm - (25% x 80)
                = 80 cm - 20
                = 60cm

Hope this helps :))

<em>~Top♥</em>
Jlenok [28]2 years ago
4 0
First piece is 80
Second piece is 100
And Third piece is 60
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A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what i
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Answer:

24/99

Step-by-step explanation:

From the question given above, the following data were obtained:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

Probability that they are of different color =?

Next, we shall determine the total number of balls in the bag. This can be obtained as follow:

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 4 + 5 + 2 = 11 balls

Next, we shall determine the possible outcome of draw. This can be obtained as follow.

The possible outcome could be:

WBLB or WBBL or BBLW or BWBL or BLBW or BLWB

Next we shall determine the probability of each of outcomes.

Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.

White (W) balls = 4

Black (B) balls = 5

Blue (Bl) balls = 2

TOTAL = 11

P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990

P(WBLB) = 4/99

P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990

P(WBBL) = 4/99

P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990

P(BBLW) = 4/99

P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990

P(BWBL) = 4/99

P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990

P(BLBW) = 4/99

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P(WBBL) = 4/99

P(BBLW) = 4/99

P(BWBL) = 4/99

P(BLBW) = 4/99

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Probability that they are of different color =?

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= (4 + 4 + 4 + 4 + 4 + 4)/99

= 24/99

Thus, the probability that they are of different color is 24/99

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