# Algebra - problems - page 22

- Swing

A child weighing 12 kg is sitting on a swing at a distance of 130 cm from the axis of rotation. How far away from the axis of rotation (center) must sit down his mother weighs 57 kg if she wants to be swing in balance? - Interest

Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter. - Rhombus

The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides. - Number

Is number 5.146852 irrational? - Addends

Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends. - Population

The town has 65,000 inhabitants. 40 years ago there were 157,000. How many people will live in town in 10 years if the average rate in population is as in previous years? - Four-digit number

Find also a four-digit number, which quadrupled written backwards is the same number. - Mother and daughter

Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)? - Warehouse cars

From the warehouse started truck at speed 40km/h. After 1hour 30mins started from the same place same direction a car at speed 70 km/h. For how long and at what distance from the warehouse overtake a truck? - Workman - shift

The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components? - Volatile percents

Kent is working as a forex trader. Suffered a loss of 65.8 percent. Calculate what percentage must now earn to lift from loss? - Exam average

Average of marks that have on the certificates students of 8.A class in mathematics is exactly 2.45. If we did not add 1 and 3 of sutdents Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class 8. - Mom and daughter

Mom is 30 years older than the daughter. What is the age difference between them in 35 years? - Sprayers

The vineyard can be sprayed first sprayer in 5 hours and with the second in 8 hours. How long would it take if we use sprayers both at once? - Work

First paver pave pavement for 27 hours. Second for 27 hours. Started first paver and after 4 hours, join the second. How long will they finish pavement? - Classroom 3

How many children are in the classroom, where 13 children are higher than Lenka and 9 children lower than Lenka? - Suit

The suit cost 119 euros. How much cost the pants if it is 50% cheaper than the jacket. - Half life

Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - Cone container

Rotary cone-shaped container has a volume 1000 cubic cm and a height 12 cm. Calculate how much metal we need for making this package. - Bath

In the bath is 30 liters of hot water. Then added 36 liters of cold water at temperature of 19 °C decreased temperature of water to 41 °C. What was the initial temperature of the hot water?

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