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joja [24]
3 years ago
10

Find three consecutive even integers such that six times the sum of the first and the third is twenty - four greater than eleven

times the second .
Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

1st = 22

2nd = 24

3rd = 26

Step-by-step explanation:

1st = x

2nd = x +2

3rd = x + 4

6(x + x + 4) = 24 + 11(x + 2)

6(2x + 4) = 24 + 11x + 22

12x + 24 = 46 + 11x

x + 24 = 46

x = 22

x + 2 = 24

x + 4 = 26

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Suppose you just purchased a digital music player and have put 12 tracks on it. After listening to them you decide that you like
lapo4ka [179]

Answer:

The answer is below

Step-by-step explanation:

We have the following information:

Number of songs you like = 2

Total number of songs = 12

a) P(you like both of them) = 2/12 x 1/11 = 0.015

This is unusual because the probability of the event is less than 0.05

b) P(you like neither of them) = 10/12 x 9/11  = 0.68

c) P(you like exactly one of them) = 2 x 2/12 x 10/11 = 0.30

d) If  a song can be replayed before all 12,

P(you like both of them) = 2/12 x 2/12  =0.027

This is unusual because the probability of the event is less than 0.05

P(you like neither of them) = 9/12 x 9/12  = 0.5625

P(you like exactly one of them) = 2 x 2/12 x 9/12 = 0.25

8 0
3 years ago
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stira [4]
9 4/21

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4 0
3 years ago
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A boat goes 3/4 hours with a speed of 8 mph and 1/3 hours with a speed of 12 mph. What distance did the boat cover in all this t
Reika [66]

Answer:

10 miles

Step-by-step explanation:

Given: Boat goes \frac{3}{4} hours with 8 mph       (i)

           Boat goes \frac{1}{3} hours with 12 mph       (ii)

Now, lets find out distance separately to get total distance.

Formula for finding distance is

D= Speed\times time

D= \frac{3}{4} \times 8   (i)

D= 3\times 2

∴ D1= 6 miles (i)

D= \frac{1}{3}\times 12 (ii)

∴D2= 4 miles  (ii)

To find total distance, we will add d1 and d2

Total distance = d1 + d2

∴ Total distance = 6 + 4

= 10 miles is the total distance covered by boat in all this time.

8 0
3 years ago
Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1
DedPeter [7]

Answer:

y = 2x + 3

Step-by-step explanation:

the same slope would be 2x still

the 3rd and 4th choice are the only ones that have the correct slope

and 1 unit lower than 4 is 3

3 0
3 years ago
NEED HELP ON THIS ASAP
Galina-37 [17]

Answer:66

Step-by-step explanation:

62+64+66+68=260

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