Reason + expression of a variable from the formula - practice problems - page 5 of 7
Number of problems found: 125
- The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Gardeners 5542
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it?
- Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272. - Circumscribed 5465
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC. - Double-digit 5411
Anička and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number fr - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Dealer 5295
The dealer sells a TV for 750 euros. If he sells it, he must pay 20% VAT to the state. How many euros will he pay for the sale of one TV?
- VAT on books
The cost of a book in the store is 12.5 euros. How many euros is the VAT of this book? VAT is 10%. - ICE train
German runways test a new ICE train between Munich and Berlin. The train runs to Berlin at a slow speed of 100 km/h. Back from Berlin goes faster. How quickly did the train have to go on a return trip so that the average train speed for both journeys woul - Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area. - Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return - Relationship 5198
There are m classrooms at the school. There are 36 chairs each in ten classrooms and 34 chairs each. Find the relationship you use to calculate the number of chairs in the school classroom. Calculate for m = @ m.
- Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows? - Wine
A bottle of wine costs 21 euros, and wine is 20 times more expensive than a bottle. How much does a bottle cost? - Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer? b) total in all n layers c) express the given sequence - Oil tank and pipes
Two oil pipelines can fill the underground oil tank. The first is filled in 72 hours, and the second in 48 hours. How many hours from when the first pipeline began to fill the oil is necessary to start filling it with the second to fill in 1 and 1/2 days? - Workers 4949
The three workers will dig one big pit in two days. How many workers would dig seven large pits in three days?
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