Equations practice problems - page 222 of 227
Number of problems found: 4538
- Troops
The route is long 175 km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t
- 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
- Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm.
- Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
- Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r.
- Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number.
- Pine
How much of a mixed forest ranger wants to cut down if their head said: "We only cut down pine trees, which in our mixed forest 98%. After cut, pine trees constitute 94% of all trees left."
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
- Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
- Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 4 years after the previous one when the eldest of the brothers was 4-times older than the youngest, mother all curse. How old were seven Ravens brothers when their mother curse
- Class
When Pythagoras asked how many students attended the school, he said: "Half of the students studying mathematics, 1/4 music, seventh silent, and there are three girls at school." How many students had Pythagoras at school?
- Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station?
- Right Δ
A right triangle has one leg 72 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height.
- Radians
Convert 36° 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 = 54 cm and height hc = 25 cm. Determine the length of both triangle legs.
- 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 700 ml of 43.2% solution of hydrogen peroxide to get 2.8% solution to gargle?
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