Answer:
- (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
-  1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
We have to find the quotient of the following division,  .
.
Now,  
= ![- \frac{3}{4} p^{[- 4 - (- 12)]} q^{[-6 - (- 3)]}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7D%20p%5E%7B%5B-%204%20-%20%28-%2012%29%5D%7D%20q%5E%7B%5B-6%20-%20%28-%203%29%5D%7D) {Since all the terms in the expression are in product form, so we can treat them separately}
 {Since all the terms in the expression are in product form, so we can treat them separately}
{Since we know the property of exponent as  }
}
=  
=  (Answer)
 (Answer)
{Since we know,  }
}
 
        
                    
             
        
        
        
ANSWER

EXPLANATION
The given expression is 

We regroup the numerical parts to get;

Now let us simplify the negative numbers.

We now subtract 19 from 42 to get;

We can't simplify further
Hence the simplest form is:

 
        
             
        
        
        
Answer:
Option C is correct...hope this helps:)
 
        
             
        
        
        
Combine the common factors.
11x + 5 = 180
Subtract 5 from both sides.
11x = 175
Divide 11 from both sides to isolate the x.
x = 15.90909091