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tankabanditka [31]
3 years ago
7

1. Type mmnn using exponents.

Mathematics
2 answers:
kompoz [17]3 years ago
7 0

Step-by-step explanation:

\bold{1.}\\\\\ mmnn=m^2n^2=(mn)^2\\\\\bold{2.}\\\\3x=5+7\\3x=12\qquad\text{divide both sides by 3}\\x=4\\\\\bold{3.}\\\\\dfrac{x}{3}=7\qquad\text{multiply both sides by 3}\\x=21\\\\\bold{4.}\\\\0.5x=12\qquad\text{multiply both sides by 2}\\1x=24\\x=24\\\\\bold{5.}\\\\4x-6=2x+4\qquad\text{add 6 to both sides}\\4x=2x+10\qquad\text{subtract 2x from both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5

\bold{6.}\\\\3x^2\ for\ x=6\ /\text{put x = 6 to the expression}/\\\\3(6)^2=3(36)=108\\\\\bold{7.}\\\\3y^2+2y\ for\ y=3\ /\text{put y = 3 to the expression}/\\\\3(3)^2+2(3)=3(9)+6=27+6=33

aniked [119]3 years ago
6 0

Answer:mmm=m to the power of 2

Step-by-step explanation:Division

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3 years ago
A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
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Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

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When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
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Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

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Distribute the 3 now we have 3x+21+10=4

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