Equations practice problems - page 175 of 239
Number of problems found: 4769
- Largest number n
Find the largest natural number d that has that property for any natural number n; the number V(n) is the value of the expression: V (n) = n ^ 4 + 11n²−12 is divisible by d.
- Two-thirds 4450
Marek has balls of three colors. Two-thirds of the balls are green, 2/7 are blue, and one ball is yellow. How many balls does Marek have?
- Remaining 4448
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1)
- Pets in ZOO
The zoo has a run for pets. There are chickens, pigs, and cows. Altogether, there are 20 heads and 60 feet. How many chickens and piglets are there?
- Subjects
The student makes a mathematical task for five minutes and the task from biology in twelve minutes. On another day, he has homework in math and biology, which consists of eleven tasks together. To do the job took an hour and a half. How many tasks are mad
- Antelope 4440
The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running?
- Question 4436
Find the number that replaces the question mark: 1.4:? = - 6
- Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle.
- Value 4423
Find the value of x: x-4 / 3x-5 = x + 3 / 10-6x
- Concentration - salt solution
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- If we
If we increase the unknown number by 4%, we get 780. Determine the unknown number.
- Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials
- Apples 2
Dried apples contain 15% water. Fresh apples contain 80% water. How many kilograms of apples must we buy to get 3 kg of dried apples?
- Family
The son is 3/5 smaller than the mother, who is 99 cm higher than the son. Thus, the mother is 3/5 taller than the son.
- Kilometers 4391
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
- Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419
- Simultaneously 4372
From two places, M and N, 100 m apart, two bodies move simultaneously in the positive direction of the x-axis. A body moving from place M has a speed of 5 m/s, from place N 3 m/s. How long does it take for the first body to catch up with the second? What
- Mushrooms
Fresh mushrooms contain 90% water, dried only 12%. How many kilograms of fresh mushrooms are needed for 5kg dried?
- Grams
How many grams of 5% solution do we need to add to 100g of 50% solution to get a 20% solution?
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