Isolating a variable in the formula - math word problems - page 84 of 145

Number of problems found: 2883

Currencies: 8309
In Zealand, merchants used three currencies: bed, wall, and honey. There are five beds for two walls and two honey for three beds. How many honeys are there for three walls?
Quadrilateral prism
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area?
Perimeter of RT
Find the circumference of the rectangular triangle if the sum of its legs is 22.5 cm and its area is 62.5 cm².
Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. If a total of USD 11,000 was paid, how much did everyone get?
Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area?
Number of songs
Write an expression for the number of songs they need for this show. Evan and Peter have a radio show that has two parts. They need four fewer than 11 songs in the first part. In the second part, they need five fewer than three times the number of songs i
Internally 8277
The outside angle at the base of an isosceles triangle is 132 degrees. Calculate the angles of a triangle internally.
Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length?
Former price
The price of an article is cut by 10% to restore it to its former value. By what percent the new price must be increased?
Kilometer 8263
A train travels from station A to station B at a speed of 90 km/h. Another train travels from station B to station A at a speed of 45 km/h. The distance between the stations is 60 km. They leave at the same time. How long will they meet and at which kilom
Calculate 8259
Calculate the sum of all 4-digit odd natural numbers.
Diamond and diagonals
A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
Circumference 8256
Find the height of a diamond with a circumference of 34m and an area of 51m²
Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm.
Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it.
Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
The diagram 2
The diagram shows a cone with a slant height of 10.5cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone
Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm.
Quadrilateral 8220
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm.
Quadrilateral 8219
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm³, whose base edge has a size a = 0.7dm.

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