# Expression of a variable from the formula - 9th grade (14y) - practice problems

#### Number of problems found: 675

- Sphere volume formula

If V=4/3 π r^{3}, find, the value of V when r = 7, the value of r when V=113 1/7 - Radio radius

Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - The chimney

How high is the chimney if we see it from a distance of 60 m at an angle of 42°? - Base and longest side

The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle? - The speed

The speed (v) of a moving object is inversely proportional to the time (t) traveled is written as? - Bronze

Bronze has 80% copper and 20% tin. How much copper will we need to produce bronze if we have 39kg of tin? - Jointly and cube power

If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation that represent this relationship - Slant height 2

A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m³. Find the lateral area of the pyramid. - Equilateral cylinder

Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter . - The ratio 7

The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares. - Directly and inversely

If z varies directly as x and inversely as y, and z = 16 when x = 3 and y = 2, find z when x = 5 and y = 3 - Last wagon

A 200 m long train passes through the 700 m long tunnel so that a time of 1 minute elapses from the entry of the locomotive into the tunnel to the exit of the last wagon from the tunnel. Find the speed of the train. - Circular arc

Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm ^ 2 - Circular segment

What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm ^ 2? - Two expressions

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y? - Isosceles triangle

Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm and the arms a = b = 13 cm long. - 10 workers

10 workers will perform the assigned work in 8 days. How long will it take to get the job done if 6 workers work for six days and then another six join them? - Discount

If someone gives u discount on "X" at 5% for 60 days. Then the discounted amount is 80000. find the actual amount? Discounted Amount=80000 rate=5% Period=60 days Actual amount=? - Sides in ratio

The sides of the triangle are in a ratio of 2: 8: 5. Find the dimensions of the remaining sides if the longest side is 32 cm. - Trapezoid and diagonals

Find the area of a trapezoid with bases a = 24 cm, c = 16 cm and diagonals u = 22 cm, v = 26 cm.

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Expression of a variable from the formula - practice problems. Examples for 9th grade.