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Mathematics, 23.06.2019 10:00 Lizzyloves8910

James wants to build a wooden barrel to hold rain water to use for irrigation. he wants the height of the barrel in feet to be 4 less than the area of the base in square feet. he also wants the area of the base in square feet to be equal to its perimeter in feet. he also needs to place a pump inside the barrel to move the collected water. after the pump is put inside the barrel, he needs it to still hold at least 90 cubic feet of water. the cost for the materials to build the barrel will be $8 per square foot. since the barrel is meant to catch rain water, he will not need a top. the cost of the pump is proportional to its volume. for each cubic foot of volume that the pump takes up, the cost will be $50. james can only afford to spend up to $1,100 on this project. if x represents the area of the base of the barrel in square feet and y represents the volume of the pump in cubic feet, then which of the following systems of inequalities can be used to determine the dimensions of the barrel and the volume of the pump?

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