Equations practice problems - page 53 of 240
Number of problems found: 4794
- The product 8
The product of five and the difference of triple the number and three is 25. Find the number. - A yard
Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length. - A Shopkeeper 4
A Shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged, thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill. - The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles - The cost 5
The cost of three chairs and four tables is 320.00. If two chairs and five of the same kind cost 330.00, find the cost of (i) 4 chairs (ii) 3 tables - The scores
The scores of 10 learners in a test arranged in ascending order are 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23, and 24. If the median mark is 20, find (a) value of a. (b) mean - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - Estimate linear fx
Which of the following is the best estimate for the temperature at 11 PM if the temperature continues to drop at the same rate? time; temperature °C 3 PM; 32 6 PM; 30 12 PM; 20 - Intersection 74914
Find the perimeter of triangle ABC, where point A begins the coordinate system. Point B is the intersection of the graph of the linear function f: y = - 3/4• x + 3 with the x-axis, and C is the intersection of the graph of this function with the y-axis. - Solve 12
Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - Question eq
Solve the question with the equation: 3.5 + what is 5. 26 - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - A speedboat
A speedboat goes 900 km against a current of 25 km/hr. Its trip took 10 minutes longer than it would have taken to travel with the current. What is the speedboat's speed in still water? - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199 cm³. Calculate the value of x. - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Wood floats
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math - A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - A rectangle 12
A rectangle has a width of 7.2 cm shorter than its length. The perimeter of this rectangle is 22.8 cm. Write the width-to-length ratio of this rectangle in the simplest form and show how you solve the problem. - Some rice
Rose had some rice. She gave 1/4 of it to her sister and cooked 1/6 of the remaining. What fraction of the rice did she cook? b. If she cooked 1⁄2 kg of rice, how much rice did she have at first?
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