Grade - math word problems - page 167 of 967
Number of problems found: 19335
- Sequence sum formula
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 - Geometric series terms
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 sequence sum
In which arithmetic sequence is S5=S6=60? - Geometric sequence quotient
Determine the quotient of the geometric sequence with the first term a1=36 so that s2 is less than or equal to 252. - Trip breakfast
90 children participated in a trip, boys and girls in the ratio 2:3. Each participant chose exactly one breakfast. Half of all boys chose variant D, a quarter of all boys chose variant C. A third of all girls chose variant A and a third of all girls chose - Ring bead combinations
The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat? - Classroom plan width
The classroom is 6.8 m wide. Determine its width on a 1:50 scale plan. - Plan scale determination
Determine the scale of the plan if the actual length of 51 m is shown on the plan by a segment of length 3 cm. - Meter ratio increase
What ratio must we increase to 1 m to get 1 m 50 cm? - Ratio adjustment decimal
Adjust ratio 1.6:0.8 - Rectangular garden
The garden is 24 m long and 15 m wide. Determine the ratio of the dimensions of this rectangle. - Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm? - Circle arc angle
Points A and B lie on the circle k. The circumference of the circle k is 40 CM, and the length of the circular arc AB is 10 CM. Determine the size of the angle ABS. - Loan yield percentage
You lent €400. The borrower paid you €440 back in 5 months. What was the yield on this loan? - Rectangle dimensions 2
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. - Aquarium water total
The zoo purchased two aquariums for marine animals. The first can hold 3,577 liters of water. The second aquarium can hold 455 liters less water than the first. How many liters of water can the aquariums hold together? - Deposit interest growth
How much will the deposit grow at an interest rate of 10% p.d. a. for 72 days by €6? - Circle triangle hole
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32 mm, and the side of the triangle, a=20.8 mm. - Car wash help
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? - Lathe part production
Four lathes machine 32 parts in 1 hour. How many parts does 1 lathe produce in 2 hours?
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