Equations practice problems - page 148 of 241
Number of problems found: 4813
- Calculate 6414
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach - Average 6408
The truck drove out of the factory at an average speed of 60 km/h. A car drove past him in half an hour, and in an hour and a half, he caught up with him. What was the average speed, and how many km did she drive? - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Consecutive 6402
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Solutions, mixtures
How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution? - Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Workers
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send? - Our house
Four painters would paint our house in 14 days. How long would it take to paint five painters? How long would it take for two other painters to help after five days? - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles? - The farmer
The farmer had 140 sheep. For the next year, she decided to change the number of sheep in a ratio of 10:7. How many sheep would he have then? - Circumference 6382
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Cylinder 6379
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder? - Temperature 6378
How many liters of 48 °C warm water do we need to add to 1.2 hl of 8 °C warm water to form a mixture with a temperature of 24 °C? - Children 6377
There are 29 children in the class. The number of children enrolled in front of Ema is six less than behind her. How old is Ema? - Temperature 6373 How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C?
- One-quarter 6369
According to research, one-quarter of pupils will encounter drugs at the end of primary school. Of this number, 40% of pupils try the drug. How many students attend Year 9 if 12 have signed up to use drugs? - Find radius Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
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