geno3141

Since the cos(x) can never be greater than one, the left side of the equation can never be greater than 22.

Therefore, you have not created an equation.

Ignore my answer; I misread the question. Sorry.

Multiply the numerators together:     1 x 3 x 8  =  24       <--- this is the numerator of the answer

Multiply the denominators together:  4 x 5 x 9  =  180     <--- this is the denominator of the answer

Answer  =  24 / 180

Now, reduce your answer.

7x - 7x  =  x + 3 - 2              7x - 7x  =  0                        3 - 2 = 1

         0  =  x + 1                   Subtract 1 from both sides:

     0 - 1  =  x + 1 - 1               0 - 1  =  -1                        +1 - 1  =  0

         -1  =  x 

To find the number of cases they pack, divide  3528  by  48.

3528  /  48  =  73.5 cases

.5 cases  =  .5 x 48  =  24 jars left over

1)  To find when 14, 9, and 10 all meet, find the lowest common multiple:

     14 = 2 x 7

     9  =  3 x 3

     10  =  5 x 2

Lowest common multiple  =  2 x 7 x 3 x 3 x 5  =  630 minutes

2)  It takes 5 squares of 6" each to reach 30"

     Since there will 5 squares in both directions, it will take 25 squares.

     Another way to solve the problem:  30" x 30" square is a total of 900 sq inches

          Each square is 6" x 6" = 36 square inches.

          Divide 900 sq in by 36 sq in to get 25 squares

(r/4)^36  =  .1244898

To remove the 36th power, take the 36th root.     The 36th root is the power (1/36)

[ (r/4)^36 ] ^ (1/36)  =  (.1244898) ^ (1/36)

  r/4  =  (.1244898) ^ (1/36)

     r  =  4 x (.1244898) ^ (1/36)

     r  =  3.7733...

The distance fomrula is:   distance  =  rate x time

For example, if you were travelling at 60 miles per hour and you have driven for 3 hours, the distance that you went was 180 miles.

     distance  =  (60 mi / hr) x (3 hrs)     <---    multiply to get the answer

If the distance was 100 miles and it took 2 hours, your rate was 50 miles per hour.

     100 miles  =  rate x (2 hrs)     <---     divide both sides by 2 hrs to get the answer

If the distance was 200 miles and the rate was 50 miles per hour, you time was 4 hours.

     200 miles  =  (50 mi / hr) x time     <---     divide both sides by 50 miles per hour to get the answer

To find a least common multiple, factor each of the numbers into its prime factors:

  30  =  2 x 3 x 5

  33  =  3 x 11

Now, use each of the factors the maximum number of times that it is found in each number:

Use the factor 3 only once because, even though it is used in each number, it is never used more than once in any number.

Answer:  2 x 3 x 5 x 11  

Let the unknown number be x:

(-3/4)·x = -1                                To remove the -3/4, since it is times x, divide by -3/4:

(-3/4)·x ÷ (-3/4)  =  -1 ÷ (-3/4)

  x  =  4/3

Note:   -1 ÷ (-3/4)  =  -1 x (4/-3)  =  4/3