Answer:
length = 18 ft
Step-by-step explanation:
Let w = width
L = w+7
Area = l*w
198 = (w+7) (w)
Distribute
198 = w^2 +7w
Subtract 198 from each side
0 = w^2 +7w -198
Factor
What 2 numbers multiply to -198 and add to 7
18* -11 = -198
18+-11 = 7
0=(w+18) (w-11)
Using the zero product property
w+18 =0 w-11=0
w= -18 w=11
We cannot have negative width so w=11
We want the length
l = w+7
l = 11+7 = 18
Answer:
The function's input = x = -20
Step-by-step explanation:
Given the function
y = -75 - 5x
Given that the output = y = 25
substituting the value y=25 and solve to find the input 'x'
25 = -75 - 5x
5x = -75-25
5x = -100
Divide bothe side by 5
x = -20
Thus, the function's input = x = -20
Answer: -11y - 35x
Step-by-step explanation:
This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.
Thus, utilizing this property (distributing -7), change the equation into:
3y - 35x - 14y
Then, simply combine like terms to get:
-11y - 35x
Hope it helps :) and let me know if you want me to elaborate.
Step 
<u>Find the irreducible fraction in each ratio</u>
<u>case 1)</u> 
Divide by
boths numerator and denominator

<u>case 2)</u> 
Divide by
boths numerator and denominator

<u>case 3)</u> 
Divide by
boths numerator and denominator

<u>case 4)</u> 
Divide by
boths numerator and denominator

<u>case 5)</u> 
Divide by
boths numerator and denominator

<u>case 6)</u> 
Divide by
boths numerator and denominator

<u>case 7)</u> 
Divide by
boths numerator and denominator

<u>case 8)</u> 
Divide by
boths numerator and denominator

<u>case 9)</u> 
Divide by
boths numerator and denominator

<u>case 10)</u> 
Divide by
boths numerator and denominator

<u>case 11)</u> 
Divide by
boths numerator and denominator

<u>case 12)</u> 
Divide by
boths numerator and denominator

Step 
<u>Sort the ratios into bins</u>
1<u>) First Bin</u>
<u>
</u>



<u>2) Second Bin </u>
<u>
</u>


<u>3) Third Bin</u>



4<u>) Fourth Bin</u>
<u>
</u>



