geno3141

Write both as common fractions:

11/2  =  3/2

1 1/3  =  4/3

Multiply them:  3/2 x 4/3  =  12/6  =  2

Go online to find the area of the United States and the area of Canada.

Combined will be those two answers added together.

Square root of what?

2 1/2  =  2.5

110 x 2.5 = 275

Replace "of" with times and "what number" with x:

.25 · x  =  9.5

Divide both sides by .25:

      x  =  9.5 ÷ .25

      x  =  38

The number is  38.

(-5 1/5) - (2/3)

=  (-26/5) - (2/3)                      Rewrite -5 1/5 as a common fraction.

=  (-26/5)(3/3) - (2/3)(5/5)       The common denominator is 15.

=  -78/15 - 10/15

=  -88/15 

I graphed it to get these approximtions:  0.2295  and  4.357.

If you are in calculus, you might want to try Newton's method.

1 foot = 12 inches

0.6 feet = 0.6 x 12 inches = 7.2 inches

3 sec²(u)  =  4

   sec²(u)  = 4/3

   cos²(u)  =  3/4

   cos(u)  =  ±√(3/4)

   cos(u)  =  ±√(3)/2

Can you take it from here?

One way to solve this is by substitution:

First, solve the first equation for x by adding y to both sides:

   x - y  =  2

   --->  x  =  y + 2

Then, substitute this expression (y + 2) in for x in the second equation:

  4x - 6y  =  4

  4(y + 2) - 6y  =  4

  4y + 8 - 6y  =  4

  -2y + 8  =  4

  -2y  =  -4

  y  =  2

And if y = 2, x = y + 2 = 2 + 2 = 4    --->   (4, 2)

Get all the x-terms to one side; subtract 6x from both sides:

  6x - 10  =  10x + 5

       -10  =  4x + 5

Subtract 5 from both sides:

       -15  =  4x

Divide both sides by 4:

        x  =  -15/4