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-4(3x-2)= -32     divide both sides by -4

3x - 2   =  8     add 2 to both sides

3x =  10         divide both sides by 3

x = 10/3

you do it by changing 10 to the power of a negative number to 1 over 10 to that number (without negative sign) then do ten to that power so the answer is 1 over 10 to the power of x

example : 10 to the power of negative 5 = 1 over 10 to the power of 5 which equals 1 over 100000

I was wondering what number n was though... I know how to solve equations but this one stumps me

I assume this is :

[8/11] *(10-n) = 64    if so......multiply both sides by 11

8 [10 - n ]   =  11*64    

80 - 8n   =  704      rearranage as

8n = 80 - 704

8n = -624      divide both sides by  8

n = -78

n is just a variable they use. You would just solve the equation for n.

We want to select :

1 Science book and 1 Math book     or

1 Science book  and 1 English book  or

1 Math book and 1 English book

ways  to do the first thing  +  ways to do the second thing + ways to do the third thing =

5C1 x 7C1                          +     5C1 * 4C1                         +   7C1 * 4C1         =

35                                        +     20                                     +      28                  =

83 ways        

We're looking for EQUAL amounts of alcohol in two samples of different concentration

120(.08)  =  amount of alcohol in known sample

x(.40)      =   amount of alcohol in 40% sample

120(.08) = x(.40)

120(.08)/(.40)  = x = 24 oounces

yes, but i sid if any one just wants to know what it looks like.

is 8

Δ,    δ or 𝛿

(a) 4 sinx +  3cos(x + pi/3)  = 2

4sinx + 3 [ cosxcos(pi/3) - sinxsin(pi/3)]  = 2

4sinx + [3/2]cosx - (3*sqrt(3)/2)sinx  = 2

8sinx + 3cosx - 3sqrt(3) sinx  = 4

[8 - 3sqrt(3)]sinx - 4  =   3cosx        square both sides

[91 - 48*sqrt(3)]sin^2x - [64 - 24*sqrt(3)] sinx + 16 = 9[cos^2x]

[91 - 48*sqrt(3)]sin^2x - [64 - 24*sqrt(3)] sinx + 16 = 9 - 9sin^2x

[100 - 48*sqrt(3)]sin^2x - [64 - 24*sqrt(3)] sinx + 7  = 0

Let a  =  sinx    and we have

[100 - 48*sqrt(3)]a^2  - [64 - 24*sqrt(3)] a  + 7  =  0

And using the quadratic formula, we have

a = 1/2   so    sinx = 1/2    and this happens at  pi/6  rads

or

a ≈ .83029    so  sinx ≈ .83029   and, taking the sine inverse of .83029,  this occurs at about .9796 rads

Here's a graph that confirms both results  : https://www.desmos.com/calculator/dl9hzyg9b0

It equals 9

This is probably the best post so far, and Hayley1 thanks for the ...you're Beautiful... he's looking at your Heart... im gonnna actuallly use that, LOL i'll tell you guys about the results XD

they stand for missing numbers 

 5p+2=4p-1

5p-4p=-1-2

p=-3

2x + y = -1   and   -x + y = -7

y = x - 7          from second equation, isolate y

2x + x - 7 = -1      plugin second equation into first

3x - 7 = -1          add the x together

3x = 6            add 7 to the other side to isolate x

x = 3          divide 6 by 3 to isolate x

y = 3 - 7        plugin x for the 3rd isolate y equation

y = -4           add

(3, -4) 

-lekrj :) did you understand? hope you did

y=x-2 and 2x+y=4

2x+ (x-2)=4     plug in the x-2 into y

3x - 2 = 4        add x with 2x

3x = 6              add 2 to the other side to isolate x

x= 3                 divide 6 by 3 to isolate x

y = 3 - 2           plug in 3 for x

y = 1               3 minus 2 is 1

(3, 1)

-lekrj

1/3=2/6=3/9=4/12.........................etc.

14=2 X 7

21=3 X 7

So 7 is the common factor of 14 and 21.

it is when you multiply the sides of a square or rectangle. e.g. one side of a rectangle is 4 inches and the other is 2. What is the area? 8 inches

it is when you multiply the sides of a square or rectangle. e.g. one side of a rectangle is 4 inches and the other is 2. What is the area? 8 inches

8

Solve for n: (8 (10-n))/11 = 64 Multiply both sides of (8 (10-n))/11 = 64 by 11/8: ((11×8 (10-n))/(8))/(11) = 11/8×64 11/8×64 = (11×64)/8: (11×8 (10-n))/(8×11) = (11×64)/8 (11×8 (10-n))/(8×11) = (8×11)/(8×11)×(10-n) = 10-n: 10-n = (11×64)/8 64/8 = (8×8)/8 = 8: 10-n = 11×8 11×8 = 88: 10-n = 88 Subtract 10 from both sides: (10-10)-n = 88-10 10-10 = 0: -n = 88-10 88-10 = 78: -n = 78

Multiply both sides of -n = 78 by -1: -n/(-1) = -78 (-1)/(-1) = 1: Answer: | | n = -78

Practice, there is really nothing else u can do...