Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three?

1 answer:

7 0

We write the expressions first mathematically:
three divided by one-fifth:
(3) / (1/5)
one-fifth divided by three:
(1/5) / (3)
We now use the double c method to find the results:
(3) / (1/5) = (3 * 5) / (1 * 1) = 15/1 = 15
(1/5) / (3) = (1 * 1) / (5 * 3) = 1/15 = 0.066666667
The difference between the two is:
15-0.066666667 = 14.93333333
Answer
They are different because they are inverse expressions.

You might be interested in

A box of mixed nuts packs weighs 16 1/2 ounces. Each mixed nuts pack weighs 1 3/8 ounces. How many mixed nuts snack packs are in

vfiekz [6]

12 mixed nuts packs

Explanation:

The box weighs 16 1/2 ounces

1 mixed nut = 1 3/8 ounces

let the number of fruit mixed nut in the box = y

1 mixed nut = 11/8 ounces

y = 33/2 ounces

cross multiply:

$\begin{gathered} 1(\frac{33}{2})\text{ = y(}\frac{\text{11}}{8}) \\ \frac{33}{2}=\frac{11y}{8} \end{gathered}$ $\begin{gathered} 2(11y)\text{ = 33(8)} \\ 22y\text{ = 33(8)} \\ y\text{ = }\frac{33(8)}{22} \end{gathered}$ $\begin{gathered} y\text{ = 264/22} \\ y\text{ = 12 mixed nuts} \end{gathered}$

3 0

1 year ago

Explain how you can use SSS, SAS, ASA, or AAS with the definition of congruent triangles to prove that

Dmitriy789 [7]

You can use SAS since you know one pair of sides are congruent and AC splits them so those must make those sides equal. And since those sides, DC and BC, are congruent, the angles must be as well. You can use numbers to prove the angles of D and B or just use that when 2 sides and an angle are congruent, the 3rd side must be congruent.

3 0

3 years ago

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x

Hunter-Best [27]

For this case we give as data the following equation:

$4x + 12 = 48$