Equation + addition - practice problems - page 2 of 9
Number of problems found: 170
- Jendo's 83123
Jenda, Milan, and Tomáš have a total of 203 Pokemon cards. Jenda has twice as many cards as Tomáš, and Milan has a quarter of Jendo's number of cards. a) How many cards does Jenda have? b) How many fewer cards do Milan have than Jenda and Tomáš? - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Consecutive 82712
The sum of five consecutive even numbers is -10. What are the numbers? - Children 82574
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the
- Grandmother 82543
Michal is saving for a new computer. His parents gave him 130 euros, which was 26 percent of the total amount. He received 20 percent of the price of the computer from his grandmother, and his aunt added another 35 euros. How many euros does Michal still - Subtract 82333
I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think? - One-quarter 82195
I have 100 marbles. One-quarter of them are white, and 3 fifths of the rest are blue. 1 third of those that are neither blue nor white are red, and the rest are green. How many marbles do I have? - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Christmas 81908
Margaret bought Christmas presents with a quarter of her savings. How much did she save if the gifts cost CZK 160? Express the rest of the savings as a fraction.
- Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - Arithmetic 81811
In which arithmetic sequence is the sum of the first five terms with odd indices equal to 85 and the sum of the first five terms with even indices equal to 100? - Arithmetic 81798
Two arithmetic sequences have the same first term. The nth term of the first sequence is 15, and of the second sequence, 21. The sum of the first n terms of the first sequence is 63, and of the second sequence, 84. Write the sums of the first n terms of b - Arithmetic 81795
In which arithmetic sequence is S5=S6=60? - Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle.
- Quadrilateral 81544
In the general quadrilateral ABCD, angle β is 9° greater than angle α, angle γ is 24° greater than angle α, and angle δ is 50° greater than angle β. Determine the sizes of individual angles. - Consecutive 81237
The sum of three consecutive numbers is 18. What are the numbers? - Quadrilateral 81137
In a quadrilateral, angle α is twice as large as angle β. Angle γ is 80% of angle α, and angle δ is 30° greater than angle α. Determine the angles of this quadrilateral. - Numerator 80641
What is the second numerator if the sum of the two numbers is 17,500 and the first numerator is 7,900? - Additions 80586
Each of the three additions is 5 more than the previous one. The sum of all is 78. Which numbers are these?
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