Free Garden Catalogs

Could please answer these problem solving on applications on linear equations?

We had these 50 item homework about it and I cannot answer 10 of it so please help me? Here are the problems: 1.Novels. A literature professor owns 400 novels. The number of horror novels is 46% of the number of science fiction novels; the number of science fiction novels is 65% of the number of romance novels; and the number of mystery novels is 17% of the number of horror novels. How many science fiction novels does the professor have? Round to the nearest ones. 2.Installing Seamless Guttering. The Jordans are installing seamless guttering on their house. This type of guttering is delivered on a continuous roll. Sections are then cut from the roll as needed. The Jordans know that they need 127 ft of guttering for 6 separate sections and that the four shortest sections will be the same size. The longest piece of guttering is 13ft more than twice the length of the mid-size piece. The shortest piece of guttering is 10ft less than the mid-size piece. How long is each piece of guttering. 3.Real Estate Commission. The following is typical real estate commission on the selling price of a house: 7% for the first $100,000, and 4% for the amount that exceeds $100,000. A realtor receives a commission of $10,320 for selling a house. What was the selling price? 4.Picture Framing. A piece of wood trim that is 100 in. Long is to be cut into pieces, and those pieces are each to be cut into four pieces to form a square frame. The length of a side of one square is to be 1½ times the length of a side of the other. How should the wood be cut? 5.Carpet Cleaning. A carpet company charges $75 to clean the first 200 sq ft of carpet. There is an additional charge of 25¢ per sq ft for any footage that exceeds 200 sq ft and $1.40 per step for any carpeting on a staircase. A customer’s cleaning bill was $253.95. this included the cleaning of a staircase. In addition to the staircase, how many sq ft of carpet did the customer have cleaned? 6.Triangular Piece Monument. In Indianapolis, Indiana, children have turned a vacant lot into a monument for peace. This community project brought together neighborhood volunteers, businesses, and government in hopes of showing children positive nonviolent ways of dealing with conflict. A landscape architect used the children’s drawings and ideas to design a triangular are formed by Indiana Avenue and Senate Avenue. The third side is formed by an apartment building. The second angle of the triangle is 7º more than the first. The third angle is 7º less than twice the first. How large are the angles? 7.Moving sidewalks. A moving sidewalk in O’Hare Airport is 300ft long and moves at a speed of 5 ft/sec. If Kate walks at a speed of 4ft/sec, how long will it take her to travel the 300 ft using the moving sidewalk? 8.Blending Flower Seeds. Tara’s website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara sells packets of nasturtium seeds for 95¢ each and packets Johnny-jump-up seed for $1.43 each. She decides to offer a 16-packet spring garden combination, combining packets of both types of seeds at $1.10 per packet. How many packets of each type of seed should be put in her garden mix? 9.Air Travel. An airplane flies 1062 mi with the wind. In the same amount of time, it can fly 738 mi against the wind. The speed of the plane in still air 200 mph. Find the speed of the wind. 10.Planning an Intertribal Dance. Hannah Two Rivers and Feather McBride are planning the Intertribal Dance Event for September’s Council Tree Pow Wow and Cultural Festival. Less experienced, Feather estimates that if she were working alone, it would take her 9 hours longer than Hannah to complete the job. Working together, the two women finish in 20 hrs. How long would it take each, working alone, to complete the job?

Public Comments

1. i'll do #1 and #8. 1.Novels. A literature professor owns 400 novels. The number of horror novels is 46% of the number of science fiction novels; the number of science fiction novels is 65% of the number of romance novels; and the number of mystery novels is 17% of the number of horror novels. How many science fiction novels does the professor have? Round to the nearest ones. let h be number of horror novels, s for sci-fi novels, r for romance novels and m for mystery novels. h = 0.46s s = 0.65r m = 0.17h 400 = h + s + r + m = h + (h / 0.46) + [h / (0.46*0.65)] + 0.17h = h * [1 + 100/46 + 10000/(46*65) + 0.17] = h * [1.17 + (6500+10000)/(46*65)] = h * [1.17 + 16500/2990] = h * [117/100 + 1650/299] = h * [199983/29900] s = (100/46) * (29900/199983) * 400 =~ 130 books 8.Blending Flower Seeds. Tara’s website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara sells packets of nasturtium seeds for 95¢ each and packets Johnny-jump-up seed for $1.43 each. She decides to offer a 16-packet spring garden combination, combining packets of both types of seeds at $1.10 per packet. How many packets of each type of seed should be put in her garden mix? x + y = 16 0.95x + 1.43y = 16 * 1.10 = 17.60 0.95 * (x + y = 16) 0.95x + 0.95y = 15.20 0 + (1.43 - 0.95)y = 17.60 - 15.20 0.48y = 2.40 y = 5 x = 16 - 5 = 11