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Morgarella [4.7K]
2 years ago
15

From the sum of 4a + b + c and 9a - c subtract the sum of 18a - b - c and 14a - 2b - c

Mathematics
2 answers:
sergiy2304 [10]2 years ago
5 0

1:-

\\ \rm\Rrightarrow 4a+b+c+9a-c

\\ \rm\Rrightarrow 4a+9a+b+c-c

\\ \rm\Rrightarrow 13a+b

2:-

\\ \rm\Rrightarrow 18a-b-c-(14a-2b-c)

\\ \rm\Rrightarrow 18a-b-c-14a+2b+c

\\ \rm\Rrightarrow 18a-14a-b+2b-c+c

\\ \rm\Rrightarrow 4a+b

cricket20 [7]2 years ago
3 0

Answer:

-19c + 4b + 2c

Step-by-step explanation:

(4a + b + c + 9a - c) - (18a - b - c + 14a - 2b - c)

= (13a + b) - (32a - 3b - 2c)

= 13a + b - 32a + 3b + 2c

= -19c + 4b + 2c

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A group of people were asked which of three ice cream flavors they prefer. The results are shown in the table.
olchik [2.2K]

Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>

In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:

p = 6/50 = 0.12 = 12%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
1 year ago
Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3
dezoksy [38]

Answer:

Step-by-step explanation:

4/x + 4/(x²-9) = 3/(x - 3) 

4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 )  / * x ( x - 3 ) ( x + 3 )

Restrictions : x ≠ 0,  x ≠ - 3 ,  x ≠ 3;

4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )

4 ( x² - 9 ) + 4 x = 3 x² + 9 x

4 x² - 36 + 4 x - 3 x² - 9 x = 0

x² - 5 x - 36 = 0

x² - 9 x + 4 x - 36 = 0

x ( x - 9 ) + 4 ( x - 9 ) = 0

( x - 9 ) ( x + 4 ) = 0

x - 9 = 0,  or : x + 4 = 0

Answer:

x = 9,  x = - 4

4 0
3 years ago
How many students were asked? How do you know?<br><br><br> Find the median for these data.
kkurt [141]

Answer:

a=10 students because there are 10 answers.

b=5

Step-by-step explanation:

a=10 students because there are 10 answers.

b, you need to list the numbers all out and rearrange them from smallest to largest.

0, 0, 1, 2, 3, 7, 9, 10, 13, 15

The median means the middle which is 3 and 7

Because we have two numbers, we need to find the middle number of 3 and 7 which is <u><em>5</em></u>

4 0
3 years ago
X-5y-z=-20<br><br>-2x-y-6z=25<br><br>-x-4y-z=-15<br>Solve by elimination
Tju [1.3M]

Answer:

x = 0

y = 5

z = -5.

Step-by-step explanation:

X-5y-z=-20

-2x-y-6z=25

-x-4y-z=-15

Add equation 1 and 3:

-9y - 2z = -35 .......... A

Multiply the first equation by 2:

2x - 10y - 2z = -40

Now add this to equation 2:

-11y -8z = -15.............B

Now multiply equation A by -4:

36y + 8x = 140.........C

Add equations B and C:

25y = 125

y = 5.

Substitute for y in equation A:

-9*5 - 2z = -35

2z = -45 + 35 = - 10

z = -5.

Now find x by substituting for y and z in the first equation:

x - 5(5) - (-5) = -20

x - 20 = -20

x = 0.

6 0
3 years ago
3) 14, 9, 20, 5, 17, 13 mean: <br>median: <br>mode: <br>range:​
Korolek [52]

Answer:

mean: 13

range: 15

there is no mode

median: 13.5

Step-by-step explanation:

mean= 14+9+20+5+17+13 = 78

78÷6= 13

range = highest number minus the smallest number

20-5 = 15

the mode is the number that occurs the most

median= 13+14= 27

27÷2 = 13.5

7 0
2 years ago
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