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You might care to check your result Omi.

In the Small State Lottery, three white balls are drawn (at random) from ten balls numbered 1 through 10, and a blue SuperBall is drawn (at random) from ten balls numbered 11 through 20. When you buy a ticket, you select three numbers from 1-10 and one number from 11-20. To win a prize, the numbers on your ticket must match at least two of the white balls or must match the SuperBall.

When you buy a ticket, you select three numbers from 1-10  the numbers on your ticket must match at least two of the white balls

Here is the logic, I expect if you work through it properly you will find the answer to this bit.

Let the number of blueberry cartons =B
The number of peach cartons =1/2B
The number of lemon cartons =2B
The number of strawberry cartons =4B

B + 1/2B + 2B + 4B =1,020, solve for B
7.5B = 1,020
B =136 cartons of blueberry
136/2 =68 cartons of peach
136 * 2 =272 cartons of lemon
272 * 2 =544 cartons of strawberry
Total =136 + 68 +272 + 544 = 1,020 cartons

I have problem with this equal, can you please explain me how on it?

x^logx - 100x = 0

Let the number of pounds of cashews needed=C
The number of pounds of walnuts needed=40 - C

1.58C + 0.78[40 - C] =1.50 *40, solve for C
C = 36 pounds of cashews
40 - 36 =4 pounds of walnuts

Here's my attempt at #2:

I should note that only the first result (ie a=2, b=6, c=3, d=4) matches tan(7.5°).

Set x = chocolate mint, y = green mint

"The ratio of chocolate mints to green mints in a bag is 3:5" => (x/y) = (3/5) => 5x - 3y = 0 (1)

"After John ate half of the green mints and only one chocolate mint, the ratio of chocolate mint to green mint was 7:6"

=> (x - 1) / (y / 2) = (7 / 6) => 6x - (7/2)y = 6 (2)

solve the (1) and (2) as a set of equation

Then, x = 36, y = 60

Mint are left in the bag = (36 - 1) + (60/2) = 35 + 30 = 75 mints :)

  ok, new one. :)   (make sure you fully understand the last one first though)

y=  -2cos4x +3

(Remember to think about how the - sign will affect the curve. )

1) midline   dashed line

2) topline (my term, not formal)           very light line

3) bottom line (my term, not formal)     very light line

4) wavelength

5) A quarter of the wavelength (this will help with choosing the scale on the x-axis)

6) What would be sensible points for the x-axis? 

       Easiest to see this from your rough sketch that you are already making.

7) Will it start on the midline, above or under, why? 

                      So far you have just done this from memory of curve shape which is great. 

                       But, but you can just substitute.

                      when x=0    y=-2cos(0)+3 = ?

8) Will is start going down or going up, why?

9) y intercept

10) plot 4 (or 5) points in advance just by knowing what the properties of the graph will be.

                  (I mean maxima, minima, and points on the midline)

11) Graph it from x=0 to x= wavelength

12) what is the first maxima? (read from graph)

13) what is the first minima?

14) What points are on the midline?

Copy all these questions and answer on your own post. 

Your table looked great but it would have been more time consuming.

You can just copy my questions and answer after them if you want.

You can check your sketch and answers with Desmos.  Make the x axis units equal to 1/4 of the wavelength.

I think you forgot something in the second "suppose" statement.

I don't understand question B, it either may be my brain or it may be numerous typos in the problem

Hint: Think of TEA as one unique letter

probably not the whole answers, maybe just delete part of the answers

Yes I know how to do that but how do I find the arrangements with TEA

20 team members paint a 4800 square wall in 36 minutes.

How fast can one team member paint?

20 * 36 = 720 minutes

One team member can paint a 4800 square wall in 720 minutes.

How fast can one team member paint a square wall of 3600 square feet?

720 * (3600/4800) = 540 minutes

Now how fast would it take 9 team members?

540 / 9 = 60 minutes.
 

Which matches KIson!

Example:
 

How many ways can you arrange the letters BANANAS?

Well there is 1 B, there are 3 A's, there are 2 N's and there is one S.

There are a total of 7 letters

So its like this:

\(\frac{7!}{1!3!2!1!}\)

7!/(3!*2!) = 420

So there are 420 ways to arrange the letters BANANAS

R = Ricky's money

J = julian's money = R + 40      (given)

J =    R + 40   -60      then equals     1/2 R = 1/2 (R+ 60)

R + 40 - 60   = 1/2(R+60)

R -20 = 1/2.R +.30.

1/2 R  =50.

R = 100                then J has R + 40 = 140          100 + 140 = 240

60 minutes?!!!!

xf = x0 + vo t + 1/2 a t^2          xf = final position= the ground = 0

                                                 x0 = origianl position = 24 feet (given)

                                                v0 = original velocity = 58 ft/s  (given)

                                                 a = acceleration of gravity =  - 32.2 ft/s^2

so put in the values and solve for t

0 = 24 + 58 t + 1/2 (- 32.2) t^2               

             solve for t     (there may be a negative value for t that appears after you use the Quadratic Formula....throw it out)

A coin collection is made up of 34 coins comprised of nickels and dimes.
The total value of the collection is $1.90.
How many dimes and nickels made up these collections?

\(\begin{array}{|lrcll|} \hline (1) & 5n+10d &=& 190 \\ \hline (2) & n + d &=& 34 \quad | \quad \times 5 \\ & 5n+5d &=& 170 \\ \hline (1)-(2): & 5n+10d -(5n+5d) &=& 190-170 \\ & 5n+10d -5n-5d &=& 20 \\ & 10d -5d &=& 20 \\ & 5d &=& 20 \quad | \quad : 5 \\ & \mathbf{d} &=& \mathbf{4} \\ \hline & n+d &=& 34 \quad | \quad d = 4 \\ & n+4 &=& 34 \\ & n &=& 34 - 4 \\ & \mathbf{n} &=& \mathbf{30} \\ \end{array}\)

There are 30 nickels and 4 dimes in these collections.

a) There are 10C3 = 120 possibilities for the 3 white balls that are drawn (since we don't care about the order), and 10 possibilities for the SuperBall. Thus there are 120*10 equally-likely winning numbers, and since your ticket must match the winning numbers, you have a 1/1200 chance of winning the jackpot.

b) I don't know the answer. 

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Hi there...

Great answer.

Personally, if I posted an answer to this I would do the calculation based in "seconds"  first and then finish it off by dividing by 60 to get "minutes", but it would yield the same results.
 

Kind regards

BizzyX

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Nickles = x

   then dimes =  34-x

.05 x    + .10  ( 34-x)   = 1.90      solve for 'x' the number of nickles     then dimes = 34-x

First of all ...you do not  'pass 50 volts through a wire'    you apply 50v across a wire and pass a current through the wire.....

I = V/R    

.2  = 50/R         R of the wire is  250 ohms

    1/2 of the wire would be    125 ohms

Now apply 250 v   across the wire

I = V/R

I = 250/125   =   2 amps  (2000 miliamps)

F= father's age NOW

S = son's age NOW

F+3 = 4( S+3)   ( Three years hence a father will four times as old as his son will be.)

F-2 = 7(S-2)      (Before two years he was seven times as old as his son was.)

two equations      F+3 = 4S+12    and

                             F-2= 7S-14              solve for either F    or   S       Multiply second equation by -1

                            -F + 2 = -7S + 14       add this to first eqaution

                                  5 = -3S +26

                                   -21 = -3S                        you should be able to take it from here.......