# Algebra - math word problems

- Nineteenth member

Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19 - Container

The container-shaped box with internal dimensions of 3.9 m, 3.25 m and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have? - Bricklayers

Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days? - Slant height

The slant height of cone is 5cm and the radius of its base is 3cm, find the volume of the cone - Equation 29

Solve next equation: 2 ( 2x + 3 ) = 8 ( 1 - x) -5 ( x -2 ) - Diofant equation

250x + 120y = 5640 - Together 3

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? - Expression

Solve for a specified variable: P=a+4b+3c, for a - Simple equation 5

Solve equation with fractions: X × 3/8 = 1/2 - Inscribed rectangle

What is the perimeter of a rectangle that is inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm - GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16? - 3d printer

3D printing ABS filament with diameter 1.75 mm has density 1.04 g/cm^{3}. Find the length of m = 5 kg spool filament. (how to calculate length) - Minimum surface

Find the length, breadth, and height of the cuboid shaped box with a minimum surface area, into which 50 cuboid shaped blocks, each with length, breadth and height equal to 4 cm, 3 cm and 2 cm respectively can be packed. - Cuboid walls

If the areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm². Find the volume of the cuboid. - Peroxide

How many ml 30% of peroxide (H2O2) should be poured into 100ml H2O to give a 20% solution? - Perimeter of base

The circumference of the base of the rotating cylinder is same as its height. What is the diameter and height of this cylinder with volume 1 liter? - Deviation of the lines

Find the deviation of the lines AG, BH in the ABCDEFGH box-cuboid, if given | AB | = 3cm, | AD | = 2cm, | AE | = 4cm - Inverse matrix

Find out inverse by Gauss elimination or by reduction method. A=[2/3. 1 -3. 1/3] - Isosceles triangle

The leg of the isosceles triangle is 5 dm, its height is 20 cm longer than the base. Calculate base length z. - Nonagon

Calculate the area and perimeter of a regular nonagon if its radius of inscribed circle is r = 10cm

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