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2 years ago

8

Two painters can paint a room in 4 hours if they work together. The less experienced painter takes 3 hours more than the more ex

perienced painter to finish the job. How long does it take for the less experienced painter to paint the room individually?

1 answer:

Lady bird [3.3K]2 years ago

8 0

I believe it 5 hours

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Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t

Umnica [9.8K]

Answer:

<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

$=x^{12}\times z^{11}(x^{-2}\times z^{-4})$ ( by using the identity $\frac{1}{a^m}=a^{-m}$ )

$=(x^{12}.x^{-2})\times (z^{11}.z^{-4})$

$=x^{12-2}\times z^{11-4}$ ( by using the identity $a^m.a^n=a^{m+n}$ )

$=x^{10}\times z^7$

$=x^{10}z^7$

∴ $\frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7$

<h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3><h3>Hence option A) $x^{10}z^7$ is correct answer.</h3>

4 0

3 years ago

Round of 248,682 to the nearest hundred

zaharov [31]

248,700

682 is closer to 700 than to 600

8 0

3 years ago

Read 2 more answers

This meal costs 11. The 5 coupon is applied, followed by a 7 sales tax rate. What is the total with the discount and tax?

lawyer [7]

This is probably wrong but my guess is 13 so maybe verify it but that’s my best!

3 0

2 years ago

Read 2 more answers

pogonyaev

Answer:

You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj

Step-by-step explanation:

Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.

The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.

3 0

2 years ago

The difference of two numbers is 192, the sum is 3782

LenaWriter [7]

(3782 - 192) : 2 = 1795 (first number)

1795 + 192 = 1987 ( second number)

--------------------------

1987 - 1795 = 192

1987 + 1795 = 3782

4 0

3 years ago