1. Plug inwherever there is anin the above equation.

2. Perform the above operations.

Since Mary traveled 3 times as quickly coming from school as she did going to school (6 miles per hour compared to 2 miles per hour), we know that Mary spent only a third of the time coming from school as she did going. Ifxrepresents the number of hours it took to get to school, thenx/3 represents the number of hours it took her to return.

Knowing that the total trip took 1 hour, we have:

x+x/3 = 1

3 x / 3 + 1 x / 3 = 1

4x/3 = 1

x= 3/4

So we know it took Mary 3/4 of an hour to travel to school (and the remaining 1/4 of an hour to get back).

Remembering that distance = rate * time, the distance Mary traveled on her way to school was (2 miles per hour) * (3/4 of an hour) = 3/2 miles. Furthermore, since she took the same route coming back, she must have traveled 3/2 of a mile to return as well.

Therefore, the the total number of miles in Mary's round trip is 3/2 miles + 3/2 miles = 6/2 miles = 3 miles.

To raiseto the exponent, squareand then take the cube root.

The common denominator of the left side is x(x–1). Multiplying the top and bottom of 1/x by (x–1) yields

Since this statement is true, there are infinitely many solutions.

Wherever there is an x, plug in 11 and perform the given operations. The numerator will be equal to 83 and the denominator will be equal to 46. 83 divided by 46 is equal to 1.804… and since the second decimal place is not greater than or equal to 5, the first decimal place stays the same when rounding so the final answer is 1.8.

To begin a problem like this, you must first convert everything toandalone. This way, you can begin to cancel and combine to its most simplified form.

Sinceand, we insert those identities into the equation as follows.

从这里我们将分子和分母s of each fraction together to easily see what we can combine and cancel.

Since there is ain the numerator and the denominator, we can cancel them as they divide to equal 1. All we have left is, the answer.

Solve for the variables, the plug into formula.

x = 12/3 = 4

y = 10 * 4 = 40

z= 9/4 = 2¹/₄

10xyz = 3600

Xy = 160

3600/160 = 22¹/2

In order to solve, we must first find the values of,, andusing the initial equations provided. Starting with:

Then:

Finally:

With the values of,, andin hand, we can solve the final equation:

In order to solve, first substitute the values ofandprovided in the problem:

Find the Least Common Multiple (LCM) of the fractional terms in the denominator and find the equivalent fractions with the same common denominator:

Finally, in order to divide by a fraction, we must multiply by the reciprocal of the fraction:

In order to solve for, first substituteinto the equation for:

Then, find the Least Common Multiple (LCM) of the two fractions and generate equivalent fractions with the same denominator:

Finally, simplify the equation: