<h2>Length = 11</h2><h2>Width = 6</h2>
The area of a rectangle is 66 ft^2:
L * W = 66
Length of the rectangle is 7 feet less than three times the width:
L = 3W-7
Substitute L in terms of W:
(3W-7) * W = 66
Factorise the equation:
3W^2 -7W = 66
3W^2 - 7W - 66 = 0
Factors of 66 =
1 66, 2 33, 3 22, 6 11
(3W + 11) (W - 6) = 0
Solve for W:
3W + 11 = 0
3W = 11
W = 3/11
W - 6 = 0
W = 0 + 6
W = 6
Using the original equation, find L:
L = 3W-7
L = 3(6)-7
L = 18-7
L = 11
L * W = 66
11 * 6 = 66
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
-
Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
The equation can be (3450-1000)<span>÷7=350.</span>
Step-by-step explanation:
z= 21/12
divide bothside by 12
shekinan
