System of equations - high school - practice problems - page 8 of 44
Number of problems found: 878
- 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 - 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 - Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic means of what Luke and Tibor collected was - Coefficients 55451
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - The library
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Summands 54861
Can you divide the number 64.9 into three summands so that the first with the second is in the ratio 4:5 and the third with the first in the ratio 7:3? - The charity
Amy will donate up to $460 to charity. The money will be divided between two charities: the city youth fund and the educational growth foundation. Amy would like the amount donated to the educational foundation growth to be at least four times the amount - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Conjugate equation
Find the numbers of a and b; if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i) - Three unknown numbers
The sum of the three numbers is 106. the first number is ten more than the third. The second number is 2x the third. What are the numbers? - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - 6 plates
Six plates and 5 cups cost 37.50 dollars. Seven plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the price of 1 cup? - Hundredths 50681
The product of two unknown numbers is two hundredths. The first number is 1.25 times larger than the second number. Specify both numbers. - Deposit
We deposited a total of $15,000 into simple interest accounts. The annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7%. How much should be invested in each account so that the total interest earned - The profit
The profit made by a business in 2018 was triple that made in 2019. The profit in 2020 was R 3 million less than the profit in 2019. If the total profit in these three years was R 67 million, what was the profit made in 2020? - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the
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