Equations practice problems - page 204 of 229
Number of problems found: 4561
- Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14
- Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice.
- Jane and Miro
Jane's brother Miro is 42 years old. He is three times as old as Jane when Miro was for as many years as there are now Jane. How old is Jane?
- Plums
The bag contained a total of 136 plums. Igor took 3 plums, and Mary took 4/7 from the rest. Thus, how many plums remained in the bag?
- Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens
- Family parcels
The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel.
- Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).
- The rod
The rod is painted in four colors. 55% of the bar is painted blue or green, 0.2 of the rod, 1/8 is brown, and the remaining 45 cm is white. How long is the rod?
- Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again?
- Following 1859
Solve the following linear equation in R: 4/10X + 2/10X + 1/6X + 1/10X + 400 = X
- RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs.
- Polygon 42
Which polygon has 42 more diagonals than sides?
- Jam cakes
Mom baked a third of plum jam cakes, one-third of cheesecakes, and 18 poppy. How many cakes she had bake?
- Heating plant
Workers dump imported coke at the heating plant. They used half of the amount on the first day. On the second day, three-quarters of the rest, and on the third day, left 120 tons. How much coke did they dump at the heating plant?
- Two cars
From A town started two cars to town B. The first begins at 7:00 at an average speed of 60 km per hour. The second car starts at 10:00 at an average speed of 100 km per hour. The first car will not stay in B, and on the way back, meet the second car halfw
- Insert into GP
Between numbers 5 and 640, insert as many numbers as necessary to form a geometric progression, so the sum of the numbers you entered will be 630. How many numbers must you insert?
- Half life
Determine the half-life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes.
- Warehouse cars
From the warehouse, a truck started at a speed of 40km/h. After 1 hour 30 mins started from the same place in the same direction a car at 70 km/h. For how long and at what distance from the warehouse overtake a truck?
- Toys
The toy shop sold the same number of balls for 62 CZK and skipping ropes for 34 CZK. Their income was 576 CZK. How many sold balls, and how many skipping ropes?
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