In a basketball arena, all four sides are filled with people. If each side of the arena is 25 ft. x 40 ft., and each person takes up 2.5 square feet, approximately how many people are in the arena?

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A: I am attaching image so that you understand each and every step.

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Q: A pyramid tent has a capacity of 240 m3. If the base is 10 m by 8 m, find its height.

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Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10…

A: Given two opposite sides of a square are increased by 12 metresand the other side decreased by 10…

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A: Luke peels 5 carrots in 2 minutes, so in 1 minute he will peel 52 carrots.

Q: The perimeter of a rectangle is 70 in., and its diagonal is 25 in. Find its length and width.

A: Consider the statement, The perimeter of a rectangle is 70, and its diagonal is 25. Need to find the…

Q: As of 2020, the population of Riverdale is 37,910 people. The Drew football field is 120 yds. x 54…

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Q: A gardern is 4 feet longer than it is wide. If both width and length are increased by five feet and…

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Q: a cube can be filled up to (2x +1)3  cm3   and contains 16x2 +16x + 4 cm3 of sand. Draw the figure…

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Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 96 yards.…

A: A rectangular piece of land whose length is twice its width has a diagonal distance of 96 yards.

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Q: A piece of  1 4 in.  flat steel is 6.25 ft long by 4.7 ft wide. If you cut off two equal pieces of…

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Q: The length of each side of a square is 3 inches more than the length of each side of a smaller…

A: Given : Sum of areas of 3 squares is 65 inches2 And length of side of one square is 3 inches more…

Q: If you place a 25-foot ladder against the top of a 24-foot building, how many feet will the bottom…

A: Consider the following figure: AB represents the building. AC represents the ladder.

Q: Dan is ordering flats and would like to be able to fit at least 50 flats on his bench. Will he be…

A: 1foot=12inch 15foot=15*12=180inch 4.5foot=4.5*12=54inch Area of the bench = 180*54 = 9720 inch…

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Q: Suppose that the 149 million square kilometers of land on the surface of the earth was divided…

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Q: By air, the distance from city A to city B is 3003 miles less than the distance from city C to city…

A: Given the distance between from city A to city B is 3003 miles less than the distance between from…

Q: A pool measuring 12 meters by 28 meters is surrounded by a path of uniform width, as shown in the…

A: Here a well explained figure corresponding to our problem is given. We can see that pool and path…

Q: want to tile a single row of tiles along the bottom of one wall of a bathroom. If the wall is 3.5m…

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Q: A rectangular garden is 12 2/3 ft long and has a perimeter of 40 ft. How many feet should you add to…

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Q: A carpet is to be installed in a rectangular room whose length is measured to be 12.71 m and whose…

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Q: The area of a trapezium is 475 cm2 and the height is 19 cm .Find the lengths of its two paallel…

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Q: The base of a triangle is two feet more than twice its height. If the area is 30 square feet, then…

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Q: A board of length (3x* + 9x - 6) meters is to be cut into three pieces of the same length. Find the…

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Q: A train leaves Little Rock , Arkansas, and travels north at 55 kilometers per hour. Another rain…

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Q: A rectangular piece of land whose length is twice it’s width has a diagonal distance of 75 yards.…

A: Let the width be x . Hence, the length is 2x . The diagram depicting this scenario can be presented…

Q: The 12-foot board in the illustration has been cut into two parts, one twice as long as the other.…

A: Given,          The 12-foot board in the illustration has been cut into two parts, one twice as long…

Q: A person needed a new rain spout, but instead of buying one, she decided to make her own by bending…

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Q: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

A: Alan has to carry 273 apples from a farm to the market. How many baskets will he need, given that…

Q: If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom…

A: Pythagorean formula a2+b2=c2

Q: A new venue just opened in downtown Canton, and they are in the process of deciding how many people…

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Q: A carpenter has 108 sq. ft of lumber out of which he desires to make a box with a square base and…

A: It is given that A carpenter has 108 sq. ft of lumber out of which he desires to make a box with a…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.