Express each quotient in the simplest form. 20xy^3/6z divided by 2xy/18z^5

1 answer:

3 0

$\dfrac{20xy^3}{6z}:\dfrac{2xy}{18z^5}=\dfrac{10xy^3}{3z}:\dfrac{xy}{9z^5}=\dfrac{10xy^3}{3z}\cdot\dfrac{9z^5}{xy}\\\\=\dfrac{10xy^3}{z}\cdot\dfrac{3z^5}{xy}=10y^2z^4\\\\\text{used:}\\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}$

You might be interested in

Find the area of the figure 3m 6m 8m A.48m B.36m C.24m D.60m

Pavlova-9 [17]

Answer:

B. 36 square meters

Step-by-step explanation:

Find the areas of the rectangle and triangle. Then, subtract the area of the triangle from the area of the rectangle to get the area of only the figure.

rectangle A = 8(6) = 48 square meters

triangle A = 1/2(8)(3) = 12 square meters

48 - 12 = 36 square meters

3 0

1 year ago

SOMEONE PLZ HELP ME The two box-and-whisker plots below show the scores on a math exam for two classes. What 2 things do the int

Savatey [412]

A box-and-whisker plot shows 5 number summary: Class A Class B1) minimum value 65 562) 1st quartile 66 793) median 81 914) 3rd quartile 89 945) maximum value 95 100
Interquartile range = 3rd Quartile - 1st Quartile Class A: 89 - 66 = 23Class B: 94 - 79 = 15
IQR indicates the spread of the of the scores over the median. Class A has a spread that his more than 50% of the scores of Class B.
Hope this helps!! :)

3 0

2 years ago

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile

Natali [406]

The correct answer is: 
green and blue.

Explanation: 
We want to see which fractions $\frac{3}{4}$ is a multiple of. We know that $\frac{3}{4}$ is a multiple of $\frac{1}{4}$ , because $\frac{1}{4}$ *3= $\frac{3}{4}$ .

We can divide fractions to determine if $\frac{3}{4}$ is a multiple of $\frac{1}{2}$ :
$\frac{ \frac{3}{4}}{ \frac{1}{2}}$ ;

in order to divide fractions, flip the second one and multiply:
$\frac{3}{4}$ )* $\frac{2}{1}$ = $\frac{6}{4}$ =1 $\frac{1}{2}$ .
This did not divide evenly, so $\frac{3}{4}$ is not a multiple of 1/2.

Checking to see if $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ , $\frac{ \frac{3}{4}}{ \frac{1}{8}}$ ;

flip the second one and multiply:
$\frac{3}{4}$ * $\frac{8}{1}$ = $\frac{24}{4}$ =6.
This divided evenly, so $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ .

6 0

2 years ago

Read 2 more answers

How do you find the difference between median and mean

Flura [38]

Median is the middle number. Ex:
1,3,5,7,10,13,14

The middle number is 7 because there is three numbers on either side of 7. The median would be 7.

The mean is when you add up all of the numbers and divide by the number of numbers. For example, 1,3,5,7,10,13,14
You add all of them. 1+3+5+7+10+13+14 equals 53. Then divide 53 by 7 because there are seven digits.

Median equals 7.57142857

5 0

2 years ago

In fact, Jilly often looked forward to the warmth of the greenhouse and feeling the heat seep into her bones.

Hoochie [10]

C. She loves her job

6 0

2 years ago