Equations practice problems - page 65 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4228
- The average height
The average height of six friends is 181 cm. Peter came among them, which reduced the average height by 2 cm. Calculate Peter's height. - Solution 38451
Prepare 2 liters (kg) of a 3% salt solution in water. - Solution 38411
Prepare 250g of a 30% solution of hydrogen peroxide in water. - Salicylic 38401
Prepare 600 g of an 8% solution of salicylic acid.
- Solution 38391
Prepare 100g of a 15% blue rock solution. - Lions
If eight lions are 40%, how many would 75% be? - Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Two ports
Between the ports of Mumraj and Zmatek, two ships commute along the same route. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs fro
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Determine 37931
40% of the base is 1200. Determine what the base is. - Two identical five-digits
We have two identical five-digit numbers, but we don’t know which ones. When we write one before the first, and after the second one, we get two six-digit numbers, one of which is three times the other. What are the numbers? - Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from - Interest 37571
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places.
- Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 > - Including 37251
The company paid a total of CZK 38,152, including penalties, for the late payment of the invoice. The penalty was 4 ‰. a) how much was the invoiced amount (without penalty)? b) how big was the penalty? - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Withdraw 37161
We will put € 8,500 into the bank at 1.3% interest, and we want to withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places.
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