Answer:
The width of the garden bed must be less than or equal to 4 feet.
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
Given;
The length is 6 feet;
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
Therefore, the width of the garden bed must be less than or equal to 4 feet.
Answer:
22% reduction
Step-by-step explanation:
Find the percent decrease by dividing the difference in amounts by the original amount.
Find the difference:
115 - 90 = 25
Divide this by the original amount:
25/115
= 0.217
So, the percent decrease is 21.7%. Round this to the nearest whole percentage:
= 22
The percent reduction in fuel used was approx. 22%
Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1
Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.
We have expression 
that renders the system of inequalities,
Which can be simplified to,
So what we get is something greater than -1 and at the same time greater or equal to 5, so the solution is,
![x\in(\infty,-1)\cap(\infty, 5]=\boxed{(\infty,5]}](https://tex.z-dn.net/?f=x%5Cin%28%5Cinfty%2C-1%29%5Ccap%28%5Cinfty%2C%205%5D%3D%5Cboxed%7B%28%5Cinfty%2C5%5D%7D)
.
Hope this helps.
16.666666666667%
How much is 10 out of 60 written as a percentage? Convert fraction (ratio) 10 / 60 Answer: 16.666666666667%
