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Varvara68 [4.7K]
3 years ago
12

How many ways are there to arrange 7 distinct red and 5 distinct blue balls in a row such that no two blue balls are next?

Mathematics
2 answers:
dybincka [34]3 years ago
7 0
18 different ways you could place them<span />
sergeinik [125]3 years ago
3 0

Answer:

There probably could be 18 ways.

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A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Kitty [74]

Answer: ab =6

have:

\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

⇔ b - 1 - a(b - 1) + 2 = 0

⇔ (b - 1)(1 - a) = -2

because a and b are postive integers => (b - 1) and (1 - a) also are integers

=> (b - 1) ∈ {-1; 1; 2; -2;}

(1 -a) ∈  {-1; 1; 2; -2;}

because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

a              -1            3             2              0

b              0            2             3              -1

a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

4 0
3 years ago
Find the arc length of a central angle of 300° in a circle whose radius is 2inches
Svetradugi [14.3K]
360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer
8 0
3 years ago
Write the linear equation in slope-intercept from the information given.
alexandr1967 [171]

Answer:

B)  y = -3x+2

Step-by-step explanation:

plug (2,-4) and -3 into y = mx + b to find 'b'

-4 = -3(2) + b

b = -4+6 = 2

4 0
3 years ago
What's a unknown point thats y-coordinate is zero.
klemol [59]

Answer:

an unknown point? like 0,7 or 0,5 or 0,1 or 0,0 or 0,anything?

Step-by-step explanation:

4 0
3 years ago
4x+2y=-24<br> -4x+y = 12
allsm [11]

Answer:

Step-by-step explanation:

                                4x+2y = -24    -------------(i)

                              <u>  -4x+y =  12    -</u>------------(ii)

add (i) &(ii)                      3y = -12

                                         y = -12/3

                                         y = -4

Put y = (-4) in (i)

4x + 2*(-4) = -24

4x - 8 = -24

4x = -24 + 8

4x = -16

x = -16/4

x = -4

6 0
3 years ago
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