System of equations - math word problems - page 27 of 98
Number of problems found: 1947
- Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lies on the line p C) parametric equations - Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - Primary 32683
A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, to the third they go 100 less than the second. How many pupils attend the third school? - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculates the size of the embankment section area. - Savings 32203
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held? - Find d 2
Find d in an A. P. whose 5th term is 18 and 39th term is 120. - Daughter 31783
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Previous 31631
Karel saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then? - Bottles 31621
We filled 90 liters of must into bottles. Some have a volume of 1 liter, and some with a volume of 1.5 liters. We have a total of 70 bottles of must. How many bottles of each species did we fill? - Saplings 31521
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - Soldiers 31501
The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Kilograms 31301
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram is to be prepared. How many kilograms of each type of tea need to be mixed? - Mixture of coffee
They have to prepare a mixture of coffee in packing centers, so 1 kg costs 240 CZK. There are two types of coffee in stock at the price of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the r - The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two and three months, the father's age will be the su - Seedlings 30831
Three workers planted 3,555 seedlings a day. The first worked in the standard. The second planted 120 more and the third 135 seedlings more than the first. How many seedlings did each worker plant? - There
There is a triangle ABC: A (-2,3), B (4, -1), C (2,5). Determine the general equations of the lines on which they lie: a) AB side, b) height to side c, c) Axis of the AB side, d) median ta to side a - Kohlrabies
The price of one kohlrabi increased by € 0.40. The number of kohlrabies a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros. - Earned 30451
They earned CZK 98,400 in the shop in three weeks. The second week's sales were 20% higher than the first. The third week was 10% lower than the second week. How much did they earn each week? - Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C.
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