NinjaDevo

455*56 = 25,480

The answer is 25,480 then.

1000+12+12+3+60+1+78+100+1+100+129+103+86+50+109+109+109+109 = ?

(1000+12+12+3)+(60+1+78+100+1)+(100+129+103+86)+(50+109+109+109+109) = ?

(1027)+(240)+(418)+(486) = ?

(1267)+(904)

=2171 

If I'm reading this right, we need 3/4 space allowed on each end that can't be used for stamping, and each stamping requires an area of 1 over 3/8 inches. How many will fit in a 72 inch strip?

I think this is how to solve it...

3/4+3/4+11/8(n) = 72

6/4+11/8(n) = 72

1.5+1.375(n) = 72

-1.5               -1.5     -Subtract 1.5 from both sides

1.375(n) = 70.5

/1.375      /1.375    -Divide both sides by 1.375

n = 51.272727

It asked for complete strips, so a total of 51 complete strips can be made out of this peice of aluminum.

Let's check it:

1.5+1.375(n) = 72

1.5+1.375(51.272727) = 72

71.999999999 ~= 72  ✔

To express (3x-40) (6x+4) as a trinomial, multiply the two binomials.

   (3x-40)

* (6x+4)       -Just multiply like you usually would if they were numbers 

----------------

             12x -160

+ 18x² -240x + 0      -add them up

-----------------

18x² - 228x - 160

So (18x² - 228x - 160) is your trinomial

To check it, put in a number for x on both equations.

(3(5)-40)*(6(5)+4) =

(15 - 40)*(30+4) =

(-25)*(34)

= -850

(18(5)² - 228(5) - 160)=

(450-1140 - 160)

= -850 ✔

Use n as the unknown number to solve:

n ÷ 2010 = 2.01020102010210

*2010      *2010        --Times both sides by 2010

------------------------------

n= 4040.504050405221

Let's check it:

4040.504050405221 ÷ 2010 =  2.01020102010210

2.0102010201021 ~= 2.01020102010210  ✔

Start by lining it up vertically.

   3X + 9

-  5X - 0   (then just subtract like you usuallly would)

------------

 -2X+9 

 So your answer is (-2X+9)

You can check this by putting in a number for x, for the simplified version and the original problem to see if it works. Let's put the number 5 in.

Original problem: 

(3(5)+9)-(5(5)-0) =

(15 + 9)-(25- 0) =

(24)-(25)

 = -1

Simplified version:

(-2(5)+9) =

((-10) + 9)

= -1

They both equal -1, so it works!

There is two ways you can prove this:

1. You can prove it using decimals

6.66666667 ~= 6.6666 so,

10*.6666 = 6.6666

6.666 = 6.666  ✔

2. You can prove it using fractions

10/1*4/6 = 6  2/3

10/1*2/3 = 6  2/3

20/3 = 6  2/3

20/30 = 20/30 ✔

Using fractions probably gives you a better visual.

Does this answer your question?

You got it sportslover!

I'm doing well, how are you?

y-3x=5 | 2x=3y+6

y=3x+5

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V

2x=3(3x+5) + 6

2x=9x+15+6

     -9x

-7x=21

-(-7x=21)

7x = -21

x = -3

y-3(-3)=5

y-(-9)=5

y+9 = 5

  -9    -9

y= -4

So, y= -4 and x = -3

Let's check it:

y-3x=5 

(-4) - 3(-3) = 5

-4 - (-9) = 5

-4 +9 = 5

5=5 ✔