Equations practice problems - page 33 of 228
Number of problems found: 4560
- 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?
- 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.
- Calculated 81804
Mr. Hovorka pays a monthly flat rate of CZK 100 plus CZK 0.90 for each started minute of the call for his mobile phone. He calculated that each minute of the call last month cost him CZK 2.15. How many minutes was he on the phone?
- Arithmetic 81798
Two arithmetic sequences have the same first term. The nth term of the first sequence is 15, and of the second sequence, 21. The sum of the first n terms of the first sequence is 63, and of the second sequence, 84. Write the sums of the first n terms of b
- Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
- Arithmetic 81795
In which arithmetic sequence is S5=S6=60?
- Rectangle's 81776
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm.
- Friends 81769
Four guys would finish washing cars at a gas station in 4 hours. After one hour, two more friends come to help them. How long will it take to finish the car wash?
- Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le
- Divided 81763
Petr divided the 32 playing cards into two piles. He found that one had three times as many cards as the other. How many cards were in each pile?
- Pupils - class
There are 28 pupils in the class. The ratio of boys to girls is 3:5. Find the number of girls.
- X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right.
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