Basic operations and concepts - math word problems - page 282 of 321
Number of problems found: 6415
- The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Rectangular 4780
The television studio plan is made on a scale of 1:150. It shows a rectangular studio measuring 5 cm and 6 cm. If we pay 356 crowns for 1 m² of floating floor, how many crowns will we pay to cover the studio with a floating floor? - No smoke
Tobacco company NO-SMOKE adorned its stand at the cigarette-type trade fair with cigarette-shaped. The dimensions of which were 20 times the size of a regular cigarette. Regular cigarette contains 0.8 mg of nicotine. How much nicotine would a giant cigare - Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i - Hexagons
There is a square ABCD, a square EFGD, and a rectangle HIJD, points JG lie on the side CD, while DJ is less than DG, and points HE lie on the side DA, while DH is less than DE. We also know that DJ is equal to GC. Hexagon ABCGFE has a perimeter of 96 cm, - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the feed last? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Telephone calls
The random variable that models the time between 2 phone calls has an exponential distribution with density f(x)=10exp (-10x), x is greater than 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 secon - Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers? - Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - Principal 82010
Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months. - Change per hour
On Sunday, the temperature was 63 degrees at 2 PM. The temperature was then 72 degrees at 5 PM. What is the rate of change per hour? - If we want
A children’s pool has the shape of a cylinder with a base diameter of 4 m and a depth of 50 cm (sketch, calculation, answer). a) Calculate the volume of water in liters that can be in the pool if it is filled to the brim. b) If we fill the pool only 75%, - The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as? - Three workshops
One workshop can complete the task in 48 days, the second in 30 days, and the third in 20 days. In how many days would the task be completed if all workshops worked? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - A truck 2
A truck leaves the home with building materials and makes a return trip every six days. To deliver all the materials, you need eight truck trips every month. How many trucks do you need?
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