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Question 198333: Quadratic equation
6. The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more than double that of the shorter leg. Find the lengths of each of the three sides.
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Click here to see answer by stanbon(75887)  |
Question 198479: Quadratic Equation
14. A ladder is 6m long. If the height of the top of the ladder must be no greater than 10 times the distance from the base to the wall, how high up a wall can the top of the ladder be placed? Include a diagram in your solution. Round to the nearest millimeter.
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Click here to see answer by ankor@dixie-net.com(22740)  |
Question 198599: Solving Problems with Quadratic Equations
23. A photograph measures 20 cm by 16 cm. A strip of constant width is to be cut off the top and one side of the photo, so the area is reducedd to 60% of teh area of the original photo. Find the width of the cut. Include a diagram in your solution.
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Click here to see answer by arallie(162) |
Question 198594: Solving Problems with Quadratic Equations
20 The length of a rectangular field is 2 m greater than three time sits width. The area of the field is 1496 m^2. What are the dimensions of the field?
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Click here to see answer by arallie(162) |
Question 198598: Solving Problems with Quadratic Equations
22. A photograph measures 21 cm by 15 cm. A strip of constant width is to be cut from each side of the photo, so the area is reduced to 216 cm^2. Find the width of the cut. Include a diagram in your solution.
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Click here to see answer by arallie(162) |
Question 198593: Solving Problems with Quadratic Equations
19. A rectangular garden measures 15 m by 24 m. A larger garden is to be made by increasing each side length by the same amount. The resulting area is ti be 1.5 times the original area. Find the dimensions of the new garden, to the nearest tenth of a meter. Include a diagram in your solution.
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Click here to see answer by arallie(162) |
Question 198593: Solving Problems with Quadratic Equations
19. A rectangular garden measures 15 m by 24 m. A larger garden is to be made by increasing each side length by the same amount. The resulting area is ti be 1.5 times the original area. Find the dimensions of the new garden, to the nearest tenth of a meter. Include a diagram in your solution.
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Click here to see answer by ankor@dixie-net.com(22740) |
Question 198592: Solving Problems with Quadratic Equations
18. A rectangular picture frame measures 20 cm by 30 cm. A new frame is to be made by increasing each side length by the same amount. The resulting enclosed area is to be 1064cm^2. Find the dimensions of the new picture frame. Include a diagram in your solution.
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Click here to see answer by arallie(162) |
Question 198589: Solving Problems with Quadratic Equations
12. A rectangular construction site is enclosed on three sides using 1200 m of fencing. The remaining side is formed by an existing wall. What dimensions enclose 180 000m^2 of land?
Click here to see answer by arallie(162) |
Question 198597: Solving Problems with Quadratic Equations
21. An open-topped box is to be made from a rectangular piece of tin measuring 50 cm by 40 cm by cutting squares of equal size from each corner. The base area is to be 875 cm^2.
a) Draw a diagram representing the information.
b) What is the side length of the squares being removed?
c) What is the volume of the box?
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Click here to see answer by josmiceli(19441)  |
Question 198631: Solving Word Problems Using Quadratic Equations
24. A rectangular field measures 15 m by 20 m. A rectangular area is to be fenced in by reducing each dimension by the same amount. The fenced-in area be?
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Click here to see answer by nerdybill(7384)  |
Question 198591: Solving Problems with Quadratic Equations
17. Sherri sells photos of athletes to baseball, basketball, and hockey fans after their games. Her regular price is $10 per photograph, and she usually sells about 30 photographs. Sherri finds that, for each reduction in price of $0.50, she can sell an additional two photographs.
a) Total sales revenue is the product of the number of units sold and the price. Make an algebraic model to represent Sherri's total sales revenue.
b) At what price will Sherri's revenue be $150?
c) At what price will her maximum revenue occur?
d) At what price will her revenue be $0?
e) Graph the relationship between revenue and the number of price reductions. Which features on the graph represent the solutions to parts b), c), and d)?
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Click here to see answer by ankor@dixie-net.com(22740) |
Question 198744: Word problem; Joe has a collection of nickles and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. how many dimes does he have?
10x2 + 6.05x + 9.85 = 0
using the formula I am not sure what numbers go to a,b, or c?
Click here to see answer by solver91311(24713)  |
Question 198741: A swimming pool is to be filled using two pipes that individually can fill the pool in 8 and 12 hours. The pool drain can empty the pool in 15 hours. How long would it take to fill the pool if the two pipes were turned on at the same time, but the drain was accidentally left open?
Click here to see answer by scott8148(6628)  |
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