Answer:
9
Step-by-step explanation:
Let's put it this way.
It's a ratio of 6:72 and we need to change it in a way to find number of rooms cleaned in 9 days.
Divide 6 & 72 both by 2
Ratio is now 3:36
Multiply 3 & 36 both by 3
Ratio is now 9:108
The number of rooms in which Robin can clean in 9 days is 108 rooms.
-5(r-1)
Do you need step by step
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
The <em>algebraic</em> expression 
is equivalent to the <em>algebraic</em> expression ![x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
. Thus, the right choice is option D.
<h3>How to apply power and root properties to rewrite a given expression</h3>
In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:
![x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Bx%7D%5Cright%29%5E%7Bm%7D)
(1)
(2)
(3)
Where:
- <em>m</em>, <em>n</em> - Exponents
- <em>x</em> - Base
And also by apply the definition of power.
If we know that the given expression is , then the equivalent expression is:
![x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B10%2F3%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
The <em>algebraic</em> expression is equivalent to the <em>algebraic</em> expression . Thus, the right choice is option D.
To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773
