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If  1/4   = 33 apples       then 3/4 = 99

99 apples x 25 cents each = 24 .75 dollars    (edited)       S0rry...i misread the question

That's not in the answer choice

tower heights    40    34    28     22    16    10       Add them together !

or      6/2 ( 10 + 40)  = 150 ft

We start with $2,000. He then uses \(\frac14 + \frac18 = \frac38\) of his salary. This means he has \(1 - \frac38 = \frac58\) of his salary left.

\($2000 \cdot \frac58 = $1,250\)

Thus, he has $1,250 left.

Oh it's 10

The Q asks      How many rocks had Juan given to Will?   

So the answer 5?

j = 5w        

s = 'some'

j - s  =  15     and      w + s = 15      sub in 5w = j

5w - s = 15

Add red equations

6w = 30

w = 5   originally     he wound up with 15  so juan gave him 10 = 'some'

ANOTHER method.....they both end up with 15 =  30 total

  j + w = 30

  5w + w = 30

  w = 5              then        he wound up with 15  so juan gave him 10 = 'some'

how to post image?

Need a diagram or something to go on......this Q has been posted 3 times without a diagram.....

divide by 9    r = 5

                             14     23     31    41      50     59      68      77      86

divide by 7    r =     0      2         3     6       1       3        5        0         2

divide by 5    r =             3                                                                 1                    

5 t = 3s     

5 t + 3s  = 2850    sub in the red equation

3s + 3s = 2850

6 s = 2850

s = 475          

       5t = 3 (475)

         t = 285                  s - t = 475 - 285 = 190 dollars more for a shirt

He got 30 dollars in change ....so he spent 20 dollars

4 p = 3n     given      or   8p = 6n 

8 p + 4 n = $ 20      sub in the red equation

6n + 4n = 20

n = 2

then     4p = 3n     4p = 6     p = 1 1/2 dollars

I am very confused too, but I'll try my best. 

question 1

cos(x) = sqrt(1-sine(x)^2)

cos(x) = sqrt(1 - (-6k/(k^2+9))^2)

cos(x) = sqrt(1-(36k^2)/(k^4+18k^2+81))

cos(x) = sqrt((k^4-18k^2+81)/(k^4+18^2+81))

cos(x) = (k^2-9)/(k^2+9)

question 2

tan(x)+1/cos(x) = tan(x)+1/cos(x)

tan(x)+1/cos(x) = sine(x)/cos(x) + 1/(cos(x))

tan(x)+1/cos(x) = (sine(x)+1)/cos(x)

tan(x)+1/cos(x) = (-6k/(k^2+9)+1)/((k^2-9)/(k^2+9))

tan(x)+1/cos(x) = ((k^2-6k+9)/(k^2+9))/((k^2-9)/(k^2+9))

tan(x)+1/cos(x) = ((k^2-6k+9)*(k^2+9))/((k^2+9)*(k^2-9))

tan(x)+1/cos(x) = (k^2-6k+9)/(k^2-9)

tan(x)+1/cos(x) = (k-3)(k-3)/(k+3)(k-3)

tan(x)+1/cos(x) = (k-3)/(k+3)

I am about 99% that I am wrong, but I hope this helped. :))

=^._.^=

I'd love to help. 

So the median is the middle number, or if there are 2, the average of the 2 middle number. 

72 72 72 72 74 74 74 74 79 79 79

So there are 11 numbers, so the number number will be 6th one. (11/2+0.5). 

72 72 72 72 74 74 74 74 79 79 79

1    2   3   4    5  6    7   8  9  10 11

The 6th number is 74, I hope this helped. :))

=^._.^=

Joe is 36 years younger than Pete. How old will Joe be when he is 1/3 as old as Pete?

Hi Guest!

   J |   16  17   18   20   21   

   P |  52   53   54   56  57   

P/J | 3.3   3.1   3   2.8  2.7

\(P=3J\\ P=J+36\\ 3J=J+36\\ 2J=36\\ \color{blue}J=18\)

Joe will be 18 years old, when he is 1/3 as old as Pete.

  !

I am still searching for some proper solution.

The sides will be in the ratio of 1:5

The angles will all stay the same.

The figures will be similar.  (They are the same shape but the new one is just 5 times bigger than the original one)

Replace x by y and f(x) by x in the function definition, then rearrange to  find y:

\(x = \frac{2y-1}{y+5}\)   so  \(x(y+5)=2y-1\)  

Collect the y's   \(y(x-2)+5x = -1\)  or \(y = \frac{-5x-1}{x-2}\)

which means \(f^{-1}(x)=\frac{-5x-1}{x-2}\)

So a /c= -5/1

As follows:

I assume you would want me to answer in terms of a, b, and c.

The key realization is  FG/GH=1 - this means FG = GH.

This also implies that if a line were to be drawn between the two points, point G would be the midpoint - meaning that the coordinates of point G are the averages of the endpoints of the line(point F and H).

The average of a and 7a is 4a.

The average of b and c is (b+c)/2

Therefore the coordinates of point G are (4a,(b+c)/2).

If triangle ABC has sides of 3, 4, and 5, then after dilation by a scale factor of 5, sides of triangle A'B'C' will be 5 times larger but the angles will stay the same.

xy + 7y  = x-3     after  multiplying both sides by  (x+7)

x - xy - 7y -3 = 0

(x+7)(-y+1) = 3 +7      multiply both sides by -1

(x+7)(y-1) =  - 10

    take it from here !   

 slope of given line  m = 3    perpindicular is  - 1/m =  -1/3

point slope form

y-4 = -1/3 ( x - 14)            this is the equation....you can re-arrange it to another form if you like ....