Grade - math word problems - page 132 of 950

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Evaluate the following expression with factorials: (45!-44!)/(44!)
Probability - coloured balls
The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color.
Right triangle - legs
Calculate the area of a right-angled triangle ABC with a=15 cm, b=1.7 dm.
Company employee crisis
The company laid off employees during the crisis, so at the end of the crisis, it had 40% fewer employees than before the crisis. When the company hired 42 new employees after the crisis subsided, it had 25% more than at the end of the crisis. How many em
Number average calculation
Calculate the average of the numbers 1.95 2.02 2.05 2.07 2.07 2.07 2.09 2.11 2.11 2.12 2.14 2.16 2.16 2.16 2.18 2.18 2.24 2.26
Lollipop price minimum
Mom bought 6 lollipops for €17. If the cashier rounded up the purchase price to whole euros, what was the least one lollipop could cost?
Perimeter of needle
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1m² costs €1.5, a 12% loss due to joints and folds is included in the area.
Pyramid volume base
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
Square perimeter area
Calculate the perimeter of a square whose area is 25 dm².
Show girl percentage
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
Cube pyramid volume
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH.
Triangle height angle
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`.
Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together?
Pool sidewalk tiles
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk?
Cylinder axial section
The axial section of the cylinder is a square with an area of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths.
Candy boxes
You are supposed to create as many identical boxes of chocolates as possible from a total of 280 nut, 252 nougat and 420 marzipan candies. You must not leave any candy behind or missing any. What will be the composition of one box and how many can you mak
Triangle angle sizes
In triangle ABC, the internal angle beta is twice the size of the angle alpha, and the angle gamma is 20 degrees less than the size of the angle beta. Determine the size of all interior angles of this triangle.
Gram price euros
If 5000g costs €120, how much will 100g cost?
Savings bank interest
On March 24, we deposited €5,400 into the savings bank. How much interest will we earn until the end of the year, when the savings bank provides 4.2% interest on this type of deposit?
Student deposit years
A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?

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