Themes, topics + system of equations - practice problems - page 2 of 17
Number of problems found: 330
- Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - An archer
An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa - Difference 78294
The distance between Aš and Břeclav is 477 km. At what speeds were the cars driving against each other when the slower one left Aš at 6:30 AM and the second left Břeclav at 8 AM? They meet at 10:30 AM, and the difference in their speeds is 41 km/h. How fa - A speedboat
A speedboat goes 900 km against a current of 25 km/hr. Its trip took 10 minutes longer than it would have taken to travel with the current. What is the speedboat's speed in still water? - Three trucks
There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla - Rocks 2
A garden center has one type of rock that sells for $6.50 per cubic yard and another type of rock that sells for $12.80 per cubic yard. They want to make 25.2 cubic yards of a mixture of rock that sells for $12.40/cubic yard. How much of each rock will th - A coffee
A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. Gourmet coffee usually sells for R420,00 per kilogram, while the cheaper brand sells for R180,00 per kilogram. How much of each type should be mixed to have 30 kilograms of coffee - Coffee 6
Coffee worth $1.05 per pound is mixed with coffee worth 85 cents per pound to obtain 20 pounds of a mixture worth 90 cents per pound. How many pounds of each type is used? - Swimming pool 6
We open the first pipe, and then after two hours, we open the second pipe without closing the first. The swimming pool will be filled with both pipes in 4 hours. If we open the first pipe itself, it will fill the pool 1.5 times faster than the second pipe - Construction 71794
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Kilograms 71754
In the fruit warehouse, they have white grapes for CZK 70 per kilogram and blue grapes for CZK 90 per kilogram. For the retail chain, 600 kg of a mixture of both types must be prepared so that one kilogram of the mixture costs CZK 85. How many kilograms o - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Fertilizer mixture
A fruit company uses two types of fertilizers in an orange grove, brand A and brand B. each bag of brand A contains 8 pounds of nitrogen and 4 pounds of phosphoric acid. Each bag of brand B contains 7 pounds of nitrogen and 6 pounds of phosphoric acid. Th - Directions 70274
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton. - (respectively) 67854
An alloy of copper and lead is a mixture of these metals in a ratio of 5: 2 (respectively). Calculate in kg how much a piece of this alloy weighs if it contains just 150 kg less lead than copper. - Relative 67684
The boat moves along the river at a speed of v1 = 5km. h-1 and upstream v2 = 2km. h-1. What is the current P's and boat L's speed relative to the water? - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.