Fractions + power - practice problems - page 2 of 3
Number of problems found: 58
- Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r. - Line-producing 6197
The new line-producing screws did not work at total capacity from the beginning. On Monday, she produced 20% of the daily norm. On Tuesday, she already met 4/5 of the daily norm. By what percentage was the number of screws made on Tuesday higher than on M - Calculate 67814
Two workers work in a workshop to produce the same product. The first worker worked 184 hours per month and produced 656 pieces of the product. The second worker worked 177 hours per month and produced 830 pieces of products. Calculate the hourly output o - Two xeroxes
The performances of the two copiers are in the ratio of 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?
- Three machines
The power of the three machines is 2:3:5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours? - Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest? - Height UT
How long is the height in the equilateral triangle with a side e = 15? - Resistance 80699
The immersion cooker plate has data 220 V, 300 W. What is the resistance of the heating wire? - Two friends
Peter can do all his work himself in 6 hours. Martin can do the same work himself in 8 hours. Peter worked first and was then replaced by Martin. The whole work was done in 6.5 hours. Calculate how long Peter worked before being replaced by Martin.
- Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π - Independent term
Find the term independent of x in the expansion of (4x³+1/2x)8 - A tile
A tile setter is covering a 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in a square. How many rows of tile are needed to reach 5ft? How many tiles are needed to cover 5ft by 5ft square - Quadrilateral 44471
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Horsepower 81496
The electric motor has an efficiency of 80% (power and input ratio). What is the power input of this motor if its power is 5 horsepower (HP)? Enter the result in kilowatts (kW) and round to one decimal place (1 HP = 3/4 kW).
- Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - Coordinates 65224
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area.
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