System of equations - practice problems - page 6 of 103
Number of problems found: 2041
- Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa
- Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
- Nickels and dimes
Bob has a handful of nickels and dimes worth $2.45. How many dimes are there if there are 4 more nickels than dimes? Hint: A nickel is worth 5 cents, and a dime is worth 10 cents. So, one dime is worth the same as two nickels.
- Jackie 2
Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's gar
- Heads and legs 2
There are a number of unspecified numbers of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den.
- The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference.
- The sum 38
The sum of two decimal numbers is four. Their difference is one. What are the numbers?
- 2 pens
Two pens and 3 pencils cost Rs. 26, 3 pens and 5 pencils cost Rs. 40. What is the cost of one pen and one pencil?
- Tables and chairs
The cost of 4 tables and 3 chairs is $225, and 3 tables and 4 chairs cost $195. Find the cost of 2 chairs and 1 table.
- The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers.
- Rupees
Seventy coins of rs 10 and rs 50 are kept in a purse. Suppose the total value of the money in the purse is RS.1900. find the number of each type of coin.
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8|
- Math class
There are a total of 30 students in a math class. The number of boys is 2 more than 3 times the number of girls. How many boys are in this math class?
- The temperature 38
The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit?
- Three 222
Three tractor drivers working on a private farm together played 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares played by the first, second and third.
- The perimeter 10
The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle.
- The masses
The masses of a mother and a daughter differ by 30kg and are in the ratio of 8:5. Find the mass of each.
- The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions?
- The sum 30
The sum of 8 times a number and 5 times another number is 184. The first number minus the second number is -3. What are the numbers?
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