Two is subtracted from a number the the difference is divided by 3. the result is 30

Jessica is a custodian at Oracle Arena. She waxes 20 m² of the floor in = of an hour. Jessica

Wewaii [24]

The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 $\mathbf{m^{2}}$ of the floor in $\mathbf{\frac{3}{5}}$ of and hour. At this rate, how many square meters can she wax per hour ?

Answer:

$\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}$

Step-by-step explanation:

$\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}$

$\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}$

$\textrm{rate}=\frac{20\times5}{3}$

$\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}$

8 0

3 years ago

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

t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download

Vitek1552 [10]

She would be able to download 49 at this rate.
Because 5/35 =7/n which would then =245/5 which equals 49

8 0

3 years ago

Read 3 more answers

How to do this Question a please help from the smallest to the biggest

Pachacha [2.7K]

A. turn all fractions into decimals or all decimals into fractions; I've decided to turn all fractions into decimals

525
------- = 0.525
1000

3
-- = 0.75 = 0.750 ~ (add a zero at the end to make the decimal places 4 equal with 0.525)

0.55 = 0.55 = 0.550 ~(add a zero at the end to make the decimal places equal with 0.525 and 0.750)

 Answer to Problem 'a':

Smallest = 0.525 = 525
-------
1000

Middle = 0.550 = 0.55

Largest = 0.750 = 3
 --
 4

b. turn all fractions/mixed fractions into decimals or all decimals into fractions; I've decided to turn all fractions/mixed fractions into decimals

3.805 = 3.805

3.85 = 3.850 ~ ( add a zero at the end to make the decimal places equal with 3.805)

3 4/5 = 80
 ----- = 0.80 =0.800 ~ (add a zero at the end to make the decimal
100 places equal with 3.805 and 3.850)

Answers to Problem 'b':

Smallest = 0.800 = 0.80 = 3 4/5

Middle = 3.805 = 3.805

Largest = 3.850 = 3.85

5 0

2 years ago

Read 2 more answers

Show that the triangles are similar and write a similarity statement.

RoseWind [281]

Answer:

the circle is a square so that means a triangle is a circle

Step-by-step explanation:

7 0

2 years ago