Rearrange variables - math word problems - page 93 of 145
Number of problems found: 2899
- School acceptance calculation
P girls and four times as many boys applied to a certain school. After the entrance exams, a quarter of the girls and half of the boys got into secondary school. How many students were accepted into the 1st year of this high school? - Lottery Winnings
The parents won 12,000 euros. They decided to spend 34% of their winnings on Christmas presents and put the rest in the bank. How many euros did they deposit in the bank? What was the annual interest rate at the bank if they were credited with 118.8 euros - Two Numbers Product Constant
The product of two numbers differing by four does not change when we decrease the larger number by two and increase the smaller number by one. What are the numbers? - Cylinder height
Calculate the height of the cylinder and its surface is 2500 dm2, and the bases have a diameter of 5dm. - Plot width calculation
Two brothers wanted to have the same area of land. One chose a square plot with a side length of 60m. The second brother chose a rectangular plot of land with a side length of 80m. What is the width of the second brother's plot? - Boats
Three-quarters of boats are white, 1/7 are blue, and nine are red. How many boats do we have? - Hexagon in circle
Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle. - School supply cost
A notebook costs euros, a pencil c euros, and a ruler costs as much as a notebook and a pencil together. How much do you pay for three notebooks, seven pencils, and two rulers? - Symmetry by plane
Determine the coordinates of an image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0 - Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7 - Two Tractors Field Time
One tractor driver would mow the field in 15 hours. Another tractor driver would do the same job in 12 hours. How long will it take them to do the work together if the latter starts plowing two hours later than the former? - Square side length
Calculate the length of the side of a square in cm, the area of which is 48 cm square. - Inequality proof
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Confectionery
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Factory employment ratio
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory? - Garden side measurement
The garden has an area of 1378 m2, side and measures 53m. How much does side b measure? - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Wheat grinding
By grinding wheat, we get 86% torment. How much wheat do we need to grind to get 7 tons of wheat flour? - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm².
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