Answer:
Amount of material for chain link = 30 feet
Amount of material for rope = 50 feet
Step-by-step explanation:
Let the amount of chain link = X
The amount of rope be represented by Y
He bought a total of 80 feet of materials
Hence we have:
X + Y = 80 ....... Equation 1
Y = 80 - X
The chain-link cost two dollars per foot and the rope cost 1.50 per foot he spent a total of $135
X × $2 + Y × $1.50 = $135
2X + 1.5Y = 135 ......Equation 2
Substitute 80 - X for Y in Equation 2
2X + 1.5(80 - X) = 135
2X + 120 - 1.5X = 135
Collect like terms
2X - 1.5X = 135 - 120
0.5X = 15
X = 15/0.5
X = 30 feet
Substitute 30 feet for X in Equation 1
X + Y = 80 ....... Equation 1
30 + Y = 80
Y = 80 - 30
Y = 50 feet
Hence the amount of material he used for the chain link = 30 feet and the amount of material he used for the rope was = 50 feet
Factor each of the following differences of two squares and write your answer together with solution.
<h3><u>1. x² - 36</u></h3>
Rewrite . The difference of squares can be factored using the rule:.
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<h3><u>2. 49 - x²</u></h3>
Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: .
Reorder the terms.
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<h3><u>3. 81 - c²</u></h3>
Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: .
Reorder the terms.
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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>
Rewrite m²n² - 1 as . The difference of squares can be factored using the rule: .
The answer for your question is B. 5