Isolating a variable in the formula - math word problems - page 109 of 144
Number of problems found: 2863
- Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
- Manufacturing 5686
If you know that the company produces four similar products that differ only in the weight of the packaging, determine the final price of the product in terms of costs. The total cost of manufacturing the product was CZK 5,745,000. And 10 kg 15,000 pcs B
- Parallelogram 5685
Calculate the height of the parallelogram, which has an area of 2.31 square meters and a side of 15.4 cm.
- Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Three-fourths 5676
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum?
- The tower
The tower of the Dean's Church in Ústí nad Labem deviates from the original vertical axis by 220 cm. Its original height was 48 m. At what height is the highest point of this tower now? Enter the result to the nearest centimeter.
- The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole.
- Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
- Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter.
- Isosceles trapezoid 3
In the isosceles trapezoid ABCD, calculate the unknown side length "a" and its area. Side b = d = 50 cm, c = 20 cm, height = 48 cm.
- Circumference 5651
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller
- Circumference 5647
The circumference of the isosceles triangle is 7.8 cm, and the base length is 34 cm. How long are his shoulders?
- Sides of triangle
The Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure on one of the same sides?
- Participated 5634
Last year, five fewer exhibitors participated in the Autosalon exhibition. This year there were a fifth more than last year, i.e., 150 exhibitors. How many exhibitors participated in the motor show the year before?
- Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface.
- Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%?
- Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge.
- Increase 5613
The tourist travels at an average speed of 3.5 km/h. The last train takes him 50 minutes. If he still has 5 km to go to the station, how much does he have to increase his speed?
- Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions?
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