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That is one of the answers. :)

210 =

70  x 3 =

35 x 2 x 3 =

7 x 5 x 2 x 3

252 =

126 x 2 =

63 x 2 x 2 =

7 x 9 x 2 x 2 =

7 x 3 x 3 x 2 x 2 =

7 x 3² x 2²

3 eggs is 1/4 of 12

Therefore, their cost must be 1/4 of $1.12  = 28 cents

t+3t-7=4t-7     simplify the left hand side

4t - 7 = 4t - 7

Notice that the two sides are always equal...no matter what t is.....this is known as an identity.....it has infinite solutions  !!!!

1500 = 500(1 + .10)^d      where d is the number of days....divide both sides by 500

3 = (1 + .10)^d      take the log of both sides

log 3 = log (1 + .10)^d       and by a log property we can write

log 3 = d log (1 + .10)     divide both sides by log (1 + .10)

log 3 /log (1 + .10) =  d = about 11.5 days  (or 12 days, rounded)

$$log_8 (313)=\frac{log(313)}{log(8)}$$

$${\frac{{log}_{10}\left({\mathtt{313}}\right)}{{log}_{10}\left({\mathtt{8}}\right)}} = {\mathtt{2.763\: \!339\: \!615\: \!644\: \!206\: \!2}}$$

2.7633

This question does not make sense. 

$$\\\frac{x}{-7}>-4\\\\
x<-4*-7$$

when you mult or divide by a neg number you have to turn the inequality sign around. :)

12/96=0.125

What about it?

3.4050629e+16

the value of sin has to be between -1 and 1 so it cannot equal -12/5

4800 divide by 3=1600 (2 cars 1 truck) 

4600-1600=3000 (6 cars) 

3000 divide by 3=1000 (2 cars) 

1000×2=2000 (4 cars) 

4800-2000=2800 (2 cars 3 trucks) 

Do you want the value of h ?

If so, h = 37.3

because 28 + 9.3 = 37.3

I hope this helps.

~ dogeminer

(-1/2)(4x)(-2)(7y)(-1)=

=(-1/2)(4)(-2)(7)(-1)xy

=-2*-2*7*-1xy

=4*7*-1xy

=-28xy

3n+2m-6=4m+n     there is no general solution here...there are actually infinite soutions !!!

add 6 to both sides

3n + 2m  = 4m + n + 6

subtract 4m, n from both sides

2n - 2m = 6 

factor the left side

2(n - m) = 6

divide both sides by 2

n - m = 3    →    n = m + 3

and that's all we can do

or

4/4+8 = 1+8=9        Since there are no brackets this is how it should be done.:)

We are glad that you like it 

By definition

$$i=\sqrt{-1}$$

Remember this is not a real number it is an imaginary number!

squares and square roots cancle each other out so

$$\\i^2=(\sqrt{-1})^2 = -1\\\\
i^4=i^2\times i^2=-1\times-1=+1\\\\
i^6=i^4\times i^2=1\times-1=-1\\\\
i^8=i^6\times i^2=-1\times-1=+1\\\\
i^{10}=i^8\times i^2=+1\times-1=-1\\\\$$

does that help you to understand?  

Rosala...your "funnies" always brighten my day......!!!!

17 times 3 is 51. 

Hopes this helps 

~ dogeminer

$$-6c^2 + 3c^2=-3c^2$$

To find the percent increase, we have  ( new value -   old value ) / (old value) x 100%

(200 -10) / 10 = 190/10 = 19 x 100% = 1900%

The new value is 2000% of the old