Equations practice problems - page 228 of 236
Number of problems found: 4708
- Homework
The monthly fee for the phone is 10 Eur and for the phone unit 0.06 Eur. How many families paid phones in the first quarter of Q1 if January 1 had on the counter 46674 units and on April 1 47495 units? - River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river. - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc. - Fraction
Find for what x fraction: (-4x -6)/(x) equals: - Null points
Calculate the roots of the equation: -1 |x +7| +1 |x +4| -2 |x -6| = 63 - Unknown x
If we add to the unknown number 35, then divide by 2, and then subtract 35, we get back an unknown number. What is this unknown number?
- Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting? - Team
The football team has 11 players. Their average age is 20 years. During the match, one player withdraws due to injury, and the team's average age is 18. How old was the injured player? - Textbooks
After checking the textbooks, it was found that teachers should withdraw every 9-th textbook. Together, 176 textbooks were withdrawn. How many textbooks were in stock before being withdrawn, and how many after withdrawal? - Rope
Half of the rope used Mam for packaging, half of the rest got a son, half of the rest he took the father and two-fifths of what remained and got a daughter. Remained 143 cm of rope. How long was the rope at the beginning? - Car
A car travels 3/7 of the trip on the first day, the second day 1/4 of the trip, and leaves even 340 km for the following days. How long is the trip? - Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden? - Bus vs. train
The bus started from point A 15 minutes before the train started from the same place. The bus went at an average speed of 45 km/h, train at 54 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Truck
The truck went for 4 hours and 51 minutes. If the truck increases its speed by 23 km/h, it will go the same distance in 2 hours. Calculate this distance.
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile. - Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity? - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses?
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