Examples for secondary school students - page 38 of 213
Number of problems found: 4256
- Base conversion
12²×14³ answer in base five - Combined 63284
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Spherical 63214
The gas tank consists of a 16m high cylinder with a diameter of 28m, which is closed at the top by a spherical canopy. The center of the spherical surface lies 4m below the bottom of the cylinder. Please calculate the spherical surface's radius and the ca - Increases 63204
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side ao decreases by 1 cm at the same time, the area of the rectangle increa
- Two-fifths 63014
We divided a certain amount of money between three people so that the first got two-fifths of what the second and third combined. The second got twice as much as the first. If the third received €750 less than the first, how much did each receive? - Conservationists 62994
Conservationists planted a total of 695 trees of three species. There were 65 spruces more than pine trees and the first three times less than pines. How many trees of each species were planted? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. percentage of puls - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - Perpendicular 62844
A body with a mass of 4 kg hits an obstacle at a speed of 10 m/s. After the collision, the body continued to move at a speed of 6 m/s, while the direction of this speed was perpendicular to the direction of the speed before the collision. Find: a) change
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Six attractions
How many opportunities do you have if you want to complete ten rides on the fair, but there are only six attractions? - Film premiere
How can you distribute 40 cinema tickets to 15 people? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers.
- Interest compounded annually
If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after ten years? - The same book
Alexander and Blanka bought the same book that had 240 pages. Blanka read four pages more a day than Alexander. Blanka read it before Alexander. Alexander read the book both weekend days longer. Using an equation or system of equations, calculate how many - Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there? - Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w - Fuel efficiency
The gravimetric analysis of an anthracite fuel is 90% carbon, 3% hydrogen, 2% oxygen, and 1% nitrogen. Given that analysis of the dry combustion products by volume is 16.2% CO2, 3.5% O2, and 80.3% N2, during the combustion process of anthracite, which con
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