Equations practice problems - page 62 of 211
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4215
- Determine
Determine the salary of a part-time worker if the employer deducted (taxes etc.) 840 eur from him, which was 6/50 of his salary. - Tributaries 40641
We would fill the water tank with one inflow in 3 hours and the other inflow in 2 hours. How long will it take for both tributaries to open? - Tennis racket
Tennis rackets became cheaper by 16% in winter. In the spring, the price increased by 15%. After this increase, it cost € 38. How much did the rocket cost in the winter before cheapening? - Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an
- Average weight
Mom bought six apples with an average weight of 130 g - If she took one apple out of the bag, the average weight of the remaining apples changed to 140 g. What was the weight of the removed apple? - Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number. - Length 40391
The wheels are stuck in the water. 40 cm is in the ground, 2/3 of the length is in the water, and 1/5 of the length is above the water. How long is the wheel, how many cm is in the water, and how much is above the water? - Mushrooms
The mushroom picker had 110 mushrooms in the basket. He had 36 mushrooms less than cossacks. How many mushrooms did he bring if he only had cossacks and mushrooms in the basket? - Together m+d
Aunt Jane would paint her apartment in 10 hours, her mother in 15 hours. How much do they paint it together?
- Perpendicular 40203
In a right triangle, one perpendicular is 5 cm longer than the other perpendicular. The diaphragm is 150 mm. Calculate the lengths of the hangings. - Antelope 40121
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up - Graduates 40111
As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates were there if 30 students graduated with honors? - The encore
The rock band had a 15-minute encore at their concert, which accounted for 12% of the total length of the concert. What was the total length of the concert? - Assistant 39951
The worker performs the repair work in 20 days, and his assistant does the job himself in 60 days. How many days would they work together?
- Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. How many hours will it be filled if all pumps are switched on simultaneously? - Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Two-fifths 39881
Jarmila bought a book for two-fifths of her money, leaving her with CZK 75. a) How much CZK did Jarmila initially have? b) How much did the book cost? - Five-twelfths 39871
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Russian. How many students are in the class, and how many languages are they learning?
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