Numbers - math word problems
Mix 68 l of water with temperature of 87 °C, 17 l warm of 42 °C and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
- Spherical cap
From the sphere of radius 13 was truncated spherical cap. Its height is 6. What part of the volume is spherical cap from whole sphere?
In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?
- Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
Brick has volume 2.2 dm3. How many bricks can drive truck with capacity 23 ton? The density of brick is 1.6 g/cm3.
Gross weight of shipment is 5188 kg and its tare is 5.6%. Calculate the net weight of the shipment.
In rectangle ABCD with sides |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio ?.
- Daily average
Calculate the average temperature during the day, when 15 hours was 20 °C and 9 hours was 13 °C.
If one side of the rectangle is larger 4-times and second 2-times, what percentage increases the area of rectangle?
- When will I be a millionaire?
Barry monthly send 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months must Barry save to save 1000000 euros? Inflation, interest rate changes, or bank failures ignore.
- Sea water
Mixing 62 kg of sea water with 84 kg rainwater is created water containing 3.1% salt. How many percent sea water contains salt?
The floor area of the room is 31 m2 and has a width of 4.3 m. How many centimeters of circumference measured floor on the map at the scale 1:75?
Jane on birthday brought 30 lollipops and 24 chewing gum for their friends. How many friends has, if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friend?
The right triangle with legs 14 cm and 20 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
I have 19 balls and my friend has 27. About how many has my friend more balls?
Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 21 cm and tb=12 cm.
For given real numbers, calculate reciprocal number.
- Rectangle SS
Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
John paid 100 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.