Equations practice problems - page 234 of 239
Number of problems found: 4769
- Radians
Convert 90° to radians. Write the result as a multiple of the number π.
- Discount
The ladies' sweater was twice discounted. First, it will be calculated by 8%, then by 8% of the new price. Its final price was 66 €. Determine the sweater's original price.
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs.
- Four pupils
Four pupils divided euro 765 so that the second received 50% less than the first, the third 1/2 less than a fourth, and the fourth euro 50 less than the first. How much money had each of them?
- Motion
From two different locations, the distance 232 km started against the car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers did the bus take
- Peroxide
How much-distilled water (in liters) must pharmacists pour into 300 ml of 32.7% solution of hydrogen peroxide to get 2.8% solution to gargle?
- Vinegar
We must dilute 36 liters of 9.1% aqueous vinegar to 4.5% one. How much water is necessary to add?
- Camp
In the camp are children. 1/2 went on a trip, 1/5 went to bathe, and 33 children remained in the room. How many children are in the camp?
- Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges.
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
- Radius
Determine the circle's radius if its perimeter and area are the same numbers.
- Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m
- Proof PT
Can you easily prove Pythagoras' theorem using Euclidean theorems? If so, do it.
- Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 35 cows graze meadow for 27 days and 39 cows by 24 days. How many cows graze the meadow for 6 days?
- Motion2
The cyclist started off town at 24 km/h. The car started after 0.5 hours behind him in the same direction. It caught up with him for 58 minutes. How fast and how long did the car run from the city to catch cyclists?
- Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km.
- Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?
- Purchase
Three buyers paid € 468. The first paid 3-times more than the second, and the third half over the second. How many euros were paid to each of them?
- Circles
The areas of the two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle.
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