Ratio - high school - practice problems - page 3 of 16
Number of problems found: 305
- VAT example
The following data were provided by Halo Mango Delight, a VAT taxpayer, for October, November, and December 2021 (VAT excluded): Compute the Value added tax of the store for the 4th Quarter of 2021. (Show computation in solving the problem). VAT ratio = 1 - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - (respectively) 67854
An alloy of copper and lead is a mixture of these metals in a ratio of 5: 2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper. - Midnight 67644
The bacteria in the test tube divide into two every second, with each new one having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full? - (cashews/beetroots) 66984
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi - Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a:b = 2:3 and a:c = 8:7. Determine the lengths of the sides of the triangle. - Summands 66044
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2. - Biggest 65704
The four boys shared the prize of 680 € in a ratio of 2:4:1:3. How many euros did the boy whose share in the prize was the biggest get? - Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Observatories 64424
Objective C we observe from two artillery observatories, A and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C. - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Combined 63284
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms. - Money spending
Albert and Peter have an amount of money. If Albert spent $6 and Peter did not spend any, then the ratio of Albert's money to Peter's money is 1:3 . If Peter spent $6 and Albert did not spend any, the ratio of Albert's money to Peter's money is 3:7.How mu - Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums? - Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm - Coordinate 59833
Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0) - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4. - Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand, and Olsen can sell all it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on
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