Equations practice problems - page 37 of 236
Number of problems found: 4709
- Passenger train
At 9:15 AM, a passenger train passes the station at a speed of 75 km/h. At 10 o'clock, an express train passes through the same station in the same direction at a speed of 120 km/h. Both trains arrive at the same destination station at the same time. a) a - Competition 81952
All three team members took turns fulfilling the competition task without delay. The first member used up 30% of the total competition time. The second needed 10 minutes more than the first, and only 10 minutes remained for the third. What % of the total - Increased 81943
The mobile was increased by a quarter of the original price and then again by a quarter of the new price. How much did the mobile cost if its final price was 125 euros? - Received 81933
The reward of CZK 4,220 was divided among 3 workers in such a way that the second received CZK 400 more than the first, and the third received 30% more than the second. How much did each get? - Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle. - Important 81924
Karel went for a walk at a speed of 5 km/h. After 3 hours, Ondra rode to him with an important message. He was moving at a speed of 20 km/h. How many minutes did Ondra catch up with Karel? - Unknown 81923
I divide the unknown number by 2 and then add 4 to the result, which gives me 22. What is the unknown number?
- Foresters 81919
Foresters planted 2,440 saplings in three days. On the second day, they planted 20% more saplings than on the first day, and on the third day, 15% less than on the first day. How many saplings did the foresters plant each day? - Lilies 81910
There are twice as many pink water lilies in the pond as yellow water lilies, but twice as few as white water lilies. Which water lilies are the most and which are the fewest? How many times more white water lilies are there than yellow water lilies? How - Christmas 81908
Margaret bought Christmas presents with a quarter of her savings. How much did she save if the gifts cost CZK 160? Express the rest of the savings as a fraction. - Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - Martin 81857
Martin will be twice as old in 10 years as he was four years ago. How old is she now? - Difference 81849 Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.
- Bought 81839
Jane lacked 160 crowns to buy six rings, so she only bought four and had 100 crowns left. How much are 4 rings? - Perpendicular 81837
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85
- Collection 81826
Ema has 3 times more picture cards in her collection than Dana. They have a total of 240 images. They are bought in packs of 10 for CZK 14. How much did Dana's pictures cost? - Athletics
160 students (gymnasiums and technical schools) participated in the athletics race. The proportion of girls from the gymnasium was 50%, the proportion of girls from the technical schools was 10%. Determine how many students were from the gymnasiums and ho - Arithmetic 81811 In which arithmetic sequence is the sum of the first five terms with odd indices equal to 85 and the sum of the first five terms with even indices equal to 100?
- Department 81809 Three times more boys than girls go to the Jude section. If three more girls started dating, there would be twice as many boys as girls. A) determine how many go to the girls' section B) determine how many children attend the department in total.
- Arithmetic 81808 An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
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