Equations practice problems - page 226 of 236
Number of problems found: 4708
- Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
- Homework
Together, the mother and Kate weigh 21.9 kg more than the father. The father weighs 8.1 kg more than the mother. The father weighs 40.2 kg more than Kate. Determine the weights of the father, mother, and Kate.
- Count of roots
How many solutions have equation x * y = 7757 with two unknowns on the set of natural numbers?
- Homework - jumps
Sasha jumped 131 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump?
- I think number
I think number. When I add 432 to it and subtract 197, I get a number that is 39 greater than 1824. What number am I thinking?
- IS trapezoid
Isosceles trapezoid arm measured 35 cm. Height is 30 cm, and the middle segment is 65 cm. Find the length of its bases.
- Bakery
How heavy must prepare bread at a bakery if a bread loses 18% of water during baking and after baking must have 1.7 kg? (Calculate to the nearest gram)
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank?
- Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
- Purchase 808
Someone spent 1/8 of their money on writing paper and three times as much on stamps. He still has 80 hours left. How many pennies did he have before the purchase?
- RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26.
- Asymptote
What is the vertical asymptote of f(x) = (-2x-8)/(2x+26)
- Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
- Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16.
- Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals.
- Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment.
- Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number?
- Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube?
- Tanker
The first pump can empty an oil tanker in 4.9 hour, and the second pump can empty a tanker in 8 hours. If the first pump starts at 4:00 and the second starts 1.4 hour later, when will the tanker be empty?
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