Length + equation - practice problems - page 3 of 24
Number of problems found: 472
- Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le - Determine 81708
The perimeter of the triangle is 110 cm. Side a is 6 cm longer than side b and 8 cm shorter than side c. Determine the lengths of the sides of the triangle. - Conservationists 81665
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Maximilian 81372
Tadeas the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, the Maximilian beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the letter from their house? - One-fifth 81290
One-fifth of the bridge pillar is embedded in the ground. One-third of its length is in the water, and 1.4 m protrudes above the surface. Determine the length of the bridge pillar. - Individual 81289
The rod was divided into three parts. The first part measured one-third of the length, the second one-third of the rest, and the third part was 20 cm. Calculate the rod's original length and the individual parts' lengths. - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Percentage 81134
We are painting a wooden fence. On the first day, we painted one-half of the fence. The next day, we painted half of the remaining part. On the third day, again, half of the remaining part. After the third painting, we had 12.5 meters of unpainted fence l - Dimensions 81100
The area of the rectangle is 81.25 cm². If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions. - Circle's 81078
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Increases 80774
A bus travels between places A and B. If it increases its average speed by 5 km/h, the travel time will be reduced by 20 minutes. If he reduces his original speed by 4 km/h, the driving time is increased by 20 minutes. What is the average speed of the bus - Repairing 80759
They spent three days repairing the damaged pipe, 115 m long. On the first day, they repaired a quarter of what they did on the second day, and on the third day, they repaired 20m less than on the second day. How many m of pipe did they repair on the firs - Calculating 80571
During the race, the cyclists covered 3/7 of the total length and had 80.5 km to go. How long was the race, and what part of the race did they complete at 55 km? An example of calculating in fractions. - Mark drove
Mark drove 3/4 of a 36 km trip before he stopped to get gas. How many kilometers had Mark driven? - Number line
Find a number on the number line whose distance from the number 3 is four times smaller than from the number 15 (specify both solutions). - Swimming pool 7
The perimeter of a rectangular swimming pool is 20 4/5 meters. Its length is thrice its width. What is the length of the pool? What is its width? - 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? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - 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 - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court?
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