geno3141

If you walk each of them one mile and you walk them simultaneously, it will take you 3 minutes (and a long time to recover).

If you walk them individually, it will take you 3 x 67 or 201 minutes.

Other combinations will result in other answers.

42% of $70.00  =  0.42 x $70.00  =  $29.40.

If this is a discount, subtract $29.40 from $70.00, ending with $40.60.

You factor the numerator, then you factor the denominator. After you cancel the equal factors from the numerator and the denominator, you will have an algebraic fraction in simplest terms.

A 30° - 60° - 90° has sides that are in the ratio:  1 : √3 : 2.

The side opposite the 30° has value 1 while the hypotenuse has value 2.

Since sin = opp / hyp  the sin(30°) = 1/2 --->  sin(0.5)  =  30°.

Using a graphing calculator, the value for x was (approx) -0.2638057.

I haven't been able to find a purely algebraic way; perhaps someone else can ...

I believe that this calculator has only deg and rad modes.

This equation will change from gons to degs:  DEG  =  (9/10)·GON  or  DEG  =  0.9·GON

This equation will change from degs to gons:  GON  =  (10/9)·DEG 

n + 3/4  =  1/4

Subtract 3/4 from both sides:  n  =  -2/4   --->   n  =  -1/2

If the problem is:     y  =  6 - (1/4)(-1 + y)

Use the distributive property:  y  =  6 - (1/4)(-1) - (1/4)(y)

Simplify:                                   y  =  6 + 1/4 - (1/4)y

Simplify:                                   y  =  25/4 - (1/4)y

Multiply both sides by 4:        4y  =  25 - y

Add y to both sides:              5y  =  25

Divide by 5:                              y  =  5

The calculator will do exponents before it does negatives and multiplications.

It evaluates  -5² + 4 x 2³ like this:

First:             -(25) + 4 x 2³             (because it does the exponent before it does the negative)

Second:        -(25) + 4 x 8               (it does the other exponent)

Third:             -25 + 4 x 8                 (it does the negative)

Fourth:           -25 + 32                     (it does the multiplication

Fifth:                     7                           (it does the addition)

If you want the calculator to square -5, put parenthese around the (-5); so enter it as  (-5)^2

Similarly, if you want the 4 and the 2 multiplied together first and that answer cubed, enter that portion as

(4 x 2)^3

I don't know how you arrived at -168.

To find the inverse, follow these steps:

Step 1:  Interchange x and g(x)   --->  x  =  (1/2)g(x) + 8

Step 2:  Solve for g(x)   --->            x - 8  =  (1/2)g(x)

                                                        2x - 16  =  g(x)

Step 3:  Replace f(x) with g^-1(x)   --->   g^-1(x)  =  2x - 16