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pantera1 [17]
3 years ago
6

30 slips of paper, numbered 1 to 5, are placed in a paper bag. One slip of paper is drawn at random. What is the probability of

drawing an even number?
Mathematics
1 answer:
Vadim26 [7]3 years ago
8 0
The answer is 12/30, which simplified to 2/5
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Solve the following system
scZoUnD [109]

Answer:

{x = -4 , y = 2 ,  z = 1

Step-by-step explanation:

Solve the following system:

{-2 x + y + 2 z = 12 | (equation 1)

2 x - 4 y + z = -15 | (equation 2)

y + 4 z = 6 | (equation 3)

Add equation 1 to equation 2:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x - 3 y + 3 z = -3 | (equation 2)

0 x+y + 4 z = 6 | (equation 3)

Divide equation 2 by 3:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x - y + z = -1 | (equation 2)

0 x+y + 4 z = 6 | (equation 3)

Add equation 2 to equation 3:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x - y + z = -1 | (equation 2)

0 x+0 y+5 z = 5 | (equation 3)

Divide equation 3 by 5:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x - y + z = -1 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 3 from equation 2:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x - y+0 z = -2 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + y + 2 z = 12 | (equation 1)

0 x+y+0 z = 2 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{-(2 x) + 0 y+2 z = 10 | (equation 1)

0 x+y+0 z = 2 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 2 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = 8 | (equation 1)

0 x+y+0 z = 2 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = -4 | (equation 1)

0 x+y+0 z = 2 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer:  {x = -4 , y = 2 ,  z = 1

4 0
3 years ago
A boy saves 80p a day, How much does it take him to save $40
laiz [17]

Answer:

50 Days

Step-by-step explanation:

I'm not sure what the unit "p" is, but I believe it is pennies so. $40/0.80 gives you 50 which is the amount of days it would take for you to get to $40 if you receive 80 cents a day

8 0
2 years ago
person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50.
tino4ka555 [31]

50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50.

7 0
3 years ago
14-5+20÷2^2+4 wich order
Sladkaya [172]

14-5+20÷2∧2+4

exponent first: 14-5+20÷4+4

Divide: 14-5+5+4

Solve left to right: 9+5+4

add all: 14+4 = 18

8 0
3 years ago
6x-8 = -4x+7 solve for x
Fantom [35]

Answer:

so look

Step-by-step explanation:

6x=7+8

2 Simplify  7+87+8  to  1515.

6x=156x=15

3 Divide both sides by 66.

x=\frac{15}{6}x=

​6

​

​15

​​

4 Simplify  \frac{15}{6}

​6

​

​15

​​   to  \frac{5}{2}

​2

​

​5

​​ .

x=\frac{5}{2}x=

​2

​

​5

​​

Done

Decimal Form: 2.5

5 0
3 years ago
Read 2 more answers
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