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1/4 chance of landing on 2     times     2/3 chance of missing Move back

1/4 * 2/3 = 2/12 = 1/6

First term is 3       next term in arith sequence will be    3 + d    =    3+ 8 = 11

Why did YOU post this question AGAIN...when it was already answered for you .....lazy?

a) Let son's age be x.

b) Let Mr. Rob's age be 3x.

c) Hence, 

          x + 3x = 64 

           4x       = 64

             x       = 16

d) Son's age is 16 years.

e) Mr Rob's age = 3 *16

                           = 48 years

https://web2.0calc.com/questions/can-somebody-please-help

Let the common ratio be x.

No. of boys = 5x

No. of girls = 4x

4x = 60

    x = 15 

So, no.of boys = 5 * 15

                       = 75

x=4

y=6

z=12

x+y+z=22

30 km / 5hr = 6 km/hr

30 km / 6.25hr = 4.8 km/hr

in still water    ( 6+ 4.8)/2 = 5.4 km hr in still water

current =   6 - 5.4 = .6 km/hr        or     5.4 - 4.8 = .6 km/hr

w*f?

sorry, where is the Answers page? I'm a little new at this. 

Here's another way to look at it.  I'm not sure what "using exponent rules" means. Maybe this is it. 

    1                              x⁴  

———   divided by   ———  

    x                              1  

To divide by a fraction, invert the divisor and multiply.  

    1                                 1     

———   multiplied by   ———  

    x                                  x⁴     

    1              1                 1                1                 1

———  •   ———   =   ———   =   ———   =   ———  

    x               x⁴               x⁵             (–2)⁵          –32  

_.

\(6^{(3t - 1)} = 36^t\)

\(6^{(3t - 1)} = 6^{2t}\)

\(3t - 1 = 2t\)

\(t = 1\)

6^(3t - 1) = 36^t.

               = (6²)^t

so equate the exponents

3t-1 = 2t

t = 1

You got it set up correctly....now cross multiply to get    x^2 + 10x - 144 = 0 

                          x = 8

l  = 1/3 w

perimeter  =   1/3 w   + 1/3 w  + w + w = 24

                        2 2/3 w = 24

                              w = 9     then   l = 3         area = l * w =   27 cm²

Thats right. thanks!

You forgot to tell us what  3a²b + b³  equals.

12x - 4y  =  -12

First:  Subtract 12x from both sides:  (12x - 4y) - 12x  =  (-12) - 12x

          Simplify and rearrange:                               -4x  =  -12x - 12

Second:  Divide both sides by -4:                 (-4x) / -4  =  (-12x - 12) / -4

               Simplify:                                                     y  =  3x + 3  

Rectangle area = l x w  =   4 x 2 = 8 units²

    SUBTRACT area of two circles    2*    pi (1^2)      to get final answer

8(2x - 4) = -4(-4x + 8)      Expand L and R sides

16x-32   = 16x -32

0 = 0                               SO ANY value of 'x' will be true

Inscribed angle E encompasses twice as many degrees of arc

2 *62   - 64   = CD

= 60^o