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d1i1m1o1n [39]
3 years ago
8

A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

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if a square + b square + c square minus ab minus bc minus ca equals to zero, prove that A equals to B equal to C
lawyer [7]
A^2 + b^2 + c^2  - ab - bc - ca = 0
a.a + b.b + c.c = a.b + b.c + c.a

equating  term by term:- 
a = b
b = c 
c = a

Therefore a = b = c 
8 0
3 years ago
Answer choices: <br><br> 16/3<br> 40/9<br> 4/9<br> 4/3
son4ous [18]

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of x, we can rewrite the equation replacing the variables.

\frac{2}{3}^{2} + 3*\frac{2}{3} - 2

Now solve. While solving, remember the order of operations.

\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444 or \frac{4}{9}

3 0
3 years ago
What is the answer to |x-8| , with x=-7? please show work!
LekaFEV [45]

Answer:

15

Step-by-step explanation:

|-7-8| = |-15| = 15##

7 0
3 years ago
Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0
3 years ago
The perimeter of a rectangle is 222 millimeters.If the length is 60 millimeters,what is the width of the rectangle?
andrezito [222]
Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.

111 mm- 60 mm= 51 mm

The width of the rectangle is 51 mm~
4 0
3 years ago
Read 2 more answers
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