Equation + expression of a variable from the formula - practice problems - page 40 of 43
Number of problems found: 846
- Contract
Eight employees complete the contract for 65 hours. After 17 hours, three employees had to leave for another job. How many more hours will the job on the contract be fulfilled?
- Master work
The master will complete the given task in 4 hours. When they're done together, how long will it take to master students entirely in three hours?
- Circumference 3589
Calculate the circle's radius if the circumference and area are in a 2:5 ratio.
- Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5cm.
- Vacation 3568
Novak and Vyborn are leaving from a joint vacation. They agreed that when they were 100 km apart, they would send each other SMS. Novices drive at a speed of 60 km/h, Advanced 90 km/h. They left at 2:00 PM (14:00). What time do they text each other?
- Turnover 3546
They had the same sales plan in Mr. Nový's two stores. In the first store, they exceeded the plan by 23% and in the second by 25%. They had a total turnover of € 66,000. What revenue did each store have?
- Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
- A mast
The wind broke a mast 32 meters high so that its top touched the ground 16 meters from the pole. The still-standing part of the mast, the broken part, and the ground form a rectangular triangle. At what height was the mast broken?
- Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume.
- Calculated 3465
The master calculated that six looms would weave the ordered fabric in 15 hours. One condition appeared. How long before the ordered substance matches the remaining states?
- The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
- RT perimeter
The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.
- Wednesday 3391
On Monday, three pupils were missing from the class, 12% of the total number of pupils. How many pupils were missing on Wednesday if 84% of all pupils were in school?
- Expression 3350
Calculate the value of the expression x / y if you know that (-4x + 3y) / y = 5
- Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number.
- Calculate 3339
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence).
- Price increase
A 20 percent price increase meant a 90-crown raise. How much cost a product after?
- Rectangle
The length of the rectangle is 12 cm greater than three times its width. What dimensions and area does this rectangle have if its circumference is 104 cm?
- Positive 3298
Which positive number equals twice its square?
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