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2 years ago

Word problem for 36 divided by 4

Mathematics

2 answers:

drek231 [11]2 years ago

6 0

8 is the answer. 4 divided by 36 is 8

aksik [14]2 years ago

3 0

I have 36 bananas i have to divide them evenly between 4 friends. How much bananas does each person get

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which of the following is equivalent to 3 sqrt 32x^3y^6 / 3 sqrt 2x^9y^2 where x is greater than or equal to 0 and y is greater

Nutka1998 [239]

Answer:

$\frac{\sqrt[3]{16y^4}}{x^2}$

Step-by-step explanation:

The options are missing; However, I'll simplify the given expression.

Given

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$

Required

Write Equivalent Expression

To solve this expression, we'll make use of laws of indices throughout.

From laws of indices $\sqrt[n]{a} = a^{\frac{1}{n}}$

So,

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$ gives

$\frac{(32x^3y^6)^{\frac{1}{3}}}{(2x^9y^2)^\frac{1}{3}}$

Also from laws of indices

$(ab)^n = a^nb^n$

So, the above expression can be further simplified to

$\frac{(32^\frac{1}{3}x^{3*\frac{1}{3}}y^{6*\frac{1}{3}})}{(2^\frac{1}{3}x^{9*\frac{1}{3}}y^{2*\frac{1}{3}})}$

Multiply the exponents gives

$\frac{(32^\frac{1}{3}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

Substitute $2^5$ for 32

$\frac{(2^{5*\frac{1}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

$\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

From laws of indices

$\frac{a^m}{a^n} = a^{m-n}$

This law can be applied to the expression above;

$\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$ becomes

$2^{\frac{5}{3}-\frac{1}{3}}x^{1-3}*y^{2-\frac{2}{3}}$

Solve exponents

$2^{\frac{5-1}{3}}*x^{-2}*y^{\frac{6-2}{3}}$

$2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}}$

From laws of indices,

$a^{-n} = \frac{1}{a^n}$ ; So,

$2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}}$ gives

$\frac{2^{\frac{4}{3}}*y^{\frac{4}{3}}}{x^2}$

The expression at the numerator can be combined to give

$\frac{(2y)^{\frac{4}{3}}}{x^2}$

Lastly, From laws of indices,

$a^{\frac{m}{n} = \sqrt[n]{a^m}$ ; So,

$\frac{(2y)^{\frac{4}{3}}}{x^2}$ becomes

$\frac{\sqrt[3]{(2y)}^{4}}{x^2}$

$\frac{\sqrt[3]{16y^4}}{x^2}$

Hence,

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$ is equivalent to $\frac{\sqrt[3]{16y^4}}{x^2}$

8 0

3 years ago

The table below shows the proportional relationship between the weight of frozen corn, in ounces, and the number of packs of fro

leonid [27]

C 100% and your welcommmmmmmmmmmeeeeeeee

7 0

3 years ago

Read 2 more answers

a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are p

xxTIMURxx [149]

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

= 5040 * 650 = 3,276,000.

7 0

2 years ago

Read 2 more answers

Vertical angles are...? i

gregori [183]

Answer:

Vertical angles are pair of angles made by intersecting two lines .

Step-by-step explanation:

In the image below a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down

3 0

3 years ago

On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec

Sidana [21]

X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
$x+y=40 \\ y=40-x$

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
$5x-2y=95 \\
-2y=95-5x \\
y=-\frac{95}{2}+\frac{5}{2}x
$

Set 40-x and (-95/2)+(5/2)x equal to each other:
$40-x=-\frac{95}{2}+\frac{5}{2}x \\
-x-\frac{5}{2}x=-\frac{95}{2}-40 \\
-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\
-\frac{7}{2}x=-\frac{175}{2} \\
x=-\frac{175}{2} \times (-\frac{2}{7}) \\
x=\frac{175}{7} \\
x=25$

Johnny answered correctly 25 questions.

8 0

3 years ago