System of equations - math word problems - page 27 of 110
Number of problems found: 2182
- Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C - The ratio 7
The ratio of the sides of two squares is 4:5. If the sum of their areas is 180 cm². Find the sides of the two squares. - Laurent series
Expand the function f (z) into the Laurent series at point z0 for the given annulus. f (z) = 1 / ((z-2) * (z-3)) a) z0 = 2, 0 3 - Coin banknote box
Matthew had 2 euro coins and 5 euro banknotes in his box. There were a total of 60 of them worth 171 euros. How much money did Matthew have in the treasury? - Find two 2
Find two decimals between 4.56 and 6.927 so that the difference between any two consecutive decimals is the same. - Grandma
Grandma is 57 years older than her two twin granddaughters. If we add the ages of an older woman with both granddaughters, we get the number 99. How old is her old woman? - Three-leggers
On a newly discovered planet live animals that astronauts named after the number of legs one-leggers, two-leggers, three-leggers, and so on (there were no animals without legs there). Animals with an odd number of legs have two heads, animals with an even - The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey. - Jakub Martin crowns
Jacob and Martin have a total of CZK 950. Jacob has a tenth less than Martin. How much CZK does Jacob have? - Seedlings in a garden centre
In three garden centres they grow roses, pansies, and narcissi. Find out their numbers. a) In the blue garden centre they have in total 200 seedlings. Of these, half are pansies, and pansies with narcissi together make 150. roses: narcissi: pansies: b) In - What is 16
What is the sum of three consecutive even integers such that six more than twice the second is 2/3 of the first increased by 3/2 of the third? - I bought
I bought two bottles of alcohol and two sanitizers for 126 pesos. How much is a bottle of alcohol if the cost of alcohol is five times the cost of sanitizer? - Rabbits and chicken
There are rabbits and chickens on a farm, 41 heads and 132 legs in all. How many rabbits at the farm? - 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - The sum 17
The sum of the three numbers is -1. If we multiply the second number by 2, the third number by 3, and add them, we get 5. If we subtract the third number from the sum of the first and second numbers, we get -1. Answer the following: Represent the above in - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train? - The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit - Solve 6 Solve the following equations: x + 2y - z = 3 3x + 4y + z = 5 3x - y - z = 5
- Powdered milk
A can of powdered milk and a can of evaporated milk cost $83.90 together. Two cans of evaporated milk and a can of powdered milk cost $118.05. How much is one can of powdered milk? How much is one can of evaporated milk?
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