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n  represents the number of times a new number of persons have received the message and then start to pass it on starting with the original person.

When  n = 1,  only the first person has the message.

When  n = 2,  (4 minutes later) the first person and the three that he/she has told have the message.

When  n = 3,  (8 minutes later) the first four persons and the three that the the last group has told have the message.

Counting:

  n = 4   --->   12 minutes later

  n = 5   --->   16 minutes later

  n = 6   --->   20 minutes later

  n = 7   --->   24 minutes later

  n = 8   --->   28 minutes later

  n = 9   --->   32 minutes later

  n = 10   --->  36 minutes later

  n = 11   --->  40 minutes later

  n = 12   --->  44 minutes later

  n = 13  --->   48 minutes later

  n = 14  --->   52 minutes later

  n = 15  --->   56 minutes later

  n = 16  --->   60 minutes later

There are 16 "steps"  -- don't forget to count the first one!

x = distance to beach

x / 40     time at 40 m/hr

x / 30     time at 30 m/hr

x/40 + 28/60   = x/30        solve for 'x'                 ( 28 minutes is   28/60 hr)

Being of the form  X² - Y²  =  R², it is a hyperbola.

This is of the form  X² + Y²  =  R²  making it a circle.

Replacing  X  with  x/2 - 3  (or using any other constants for multiplying or dividing the x-term and adding or subtracting any constant from the x-term within the set of parentheses) does not change the form.

What can change the form is replacing the "+" sign with a "-" sign between the terms or multiplying or dividing the X² and Y² terms (outside the set of parentheses).

x² + 8x + 7 = 0    Without the = 0 it isn't an equation, it's just an expression. 

                           The expression has to equal something to be an equation. 

_.

x has to be less than 6  

Write down the quadratic equation whose roots are x=-7 and x=-1, and the coefficient of x^2 is 1.

Enter your answer in the form "x^2 + bx + c = 0".  

Since the roots are               x = –7   and   x = –1     then

the associated factors are    (x + 7)   and   (x + 1)    respectively.  

which makes the equation     x² + 8x + 7   

_.

Idk how to anwser this 

m (n + p) = mn + mp  

One possible response is "Yes, that's right, it does."   

These are all the ways of summing up 2 dice:

(2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12)>>Total = 36

In how many ways can you make up a 3? Only in 2 ways:(1, 2) and (2,1):

Count ALL the prime numbers that you can make on a roll 2 dice. Just count all the primes from the above list and you should get 15:

Therefore, the probability of rolling a "3" out of 15 primes is: 2 / 15

 Find the area of triangle ACD.

Hello Guest!

\(\overline{AD} =x\)

\(h^2=8^2-x^2=16^2-(17-x)^2\\ 8^2-x^2=16^2-(17^2-34x+x^2)\\ 8^2-x^2=16^2-17^2+34x-x^2=0\\ 8^2-16^2+17^2=34x\\ x=\dfrac{8^2-16^2+17^2}{34}\)

\(x=\overline{AD} =2.853\)

\(h=\sqrt{8^2-x^2}=\sqrt{64-2.853^2}\)

\(h=7.474\)

\(A_{ACD}=\dfrac{h\cdot x}{2}=\dfrac{7.474\cdot 2.853}{2}\)

\(A_{ACD}=10.661\)

  !

IK it seems easy but i have dyslexia and my head cant process it so plase help.

There is no question here. 

If a right-angled triangle is inscribed in a circle then the hypotenuse must be a diameter.

I can prove it with calculus but the longest perimeter will be when the other two sides are equal. Let them be x

100^2 = 2x^2

solve for x then find the perimeter. 

Looks like the peak occurs at x = 7.5.  Because of the symmetry of a quadratic the value of y(7.5 + 7.5) will be the same as y(7.5 - 7.5).  In other words y(15) = y(0).  It is easy to see what this value is on the graph.

The quickest way to answer this is to enter 25!/10! in the calculator on the home page here.

3/5) (5/3)=1 what type of operation

The inradius is 15/2.  The circumradius is 40/3.

a = 14/5.

There are 14 numbers that work.

Ali, Benny, and Charles had 255 stamps altogether. Ali gave 3/8 of his stamps to Benny and 1/5 of them to Charles. After that, all the three boys had the same number of stamps. How many more stamps did Charles have than Benny at first?

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A + B + C = 255

Ali's stamps => x

x - (3x/8 + x/5) = 85

x = 200       (Ali's stamps at first)

3x/8 = 75     (Ali gave to Benny)

Benny had 10 stamps at first.

x/5 = 40       (Ali gave to Charles)

Charles had 45 stamps at first.

Charles had 35 more stamps than Benny!