Evaluate:
Evaluate:
Evaluate:
Evaluate y + 5 if:
Evaluate u + v if:
Evaluate a + b when a = 5 and b = 1.1.
Evaluate a - b when a = 9 and b = 5.
Evaluate u + v + 25 if u = 32 and v = 48.
Evaluate a + b + c if a = 10, b = 15, and c = 11.
If a = 2, b = 7 and c = - 8, evaluate the following expressions:
\dfrac{a b c}{a}
a^{ 2 b} + c
\dfrac{a}{b} + \dfrac{c}{a}
If a = 0.4, b = - 2.5 and c = 5, evaluate the following expressions:
\dfrac{a b}{c}
\left( a b\right)^{2} - c
a + b c - a
The perimeter of a triangle is defined by the formula P = p + q + r.
Find P if the length of each of its three sides are:
The perimeter of a square with side lengths of a is given by the formula P = 4a.
Find P if the length of each side is 7\text{ cm}.
The area of a rectangle is given by the formula A=\text{ Length }\times \text{ Width}. If the length of a rectangle is 2\text{ cm} and its width is 3\text{ cm}, find its area.
The perimeter of a rectangle is given by the formula P = 2 \times \left(l + w\right) , where l is the length and w is the width. If the width of a rectangle is 10\text{ cm} and its length is 5\text{ cm}, find its perimeter.
The area of a triangle is given by the formula A = \dfrac{1}{2} \times \text{base} \times\text{height}. If the base of a triangle is 5\text{ cm} and its height is 8\text{ cm}, find its area.
The area of a rhombus is given by the formula A = \dfrac{1}{2} x y, where x and y are the lengths of the diagonals. If the diagonals of a rhombus have lengths of 2\text{ cm} and 4\text{ cm}, find the area of the rhombus.
The area of a square with side lengths of s is given by the formula A = s^{2}. Find A if the length of each side is 6\text{ cm}.
The equation of a straight line is given by the formula y = m x + c. Given that m = 6, x = - 4 and c = 9, find the value of y.
For many 3 dimensional shapes, we can find the number of edges, E, on the shape by using the formula: E = V + F - 2 where V is the number of vertices and F is the number of faces.
Find the number of edges of a 3 dimensional shape which has:
7 vertices and 7 faces
8 vertices and 6 faces
The surface area of a rectangular prism is given by formula S = 2 \left( l w + w h + l h\right), where l , w and h are the dimensions of the prism. Given that a rectangular prism has a length of 8\text{ cm,} a width of 7 \text{ cm} and a height of 9\text{ cm}, find its surface area.
The volume of a rectangular prism is given by the formula V = l \times w \times h, where l , w and h are the dimensions of the prism. Given that a rectangular prism has a length of 4\text{ cm}, a width of 8\text{ cm} and a height of 5\text{ cm}, find its volume.
The simple interest generated by an investment is given by the formula I = \dfrac{P \times R \times T}{100}.
Given that P = 1200, R = 5 and T = 9, find the interest generated.
Converting a measure of temperature from Celsius to Fahrenheit is given by the formula F = 32 + \dfrac{9 C}{5}
Given that C = 15, evaluate F.
Converting a measure of temperature from Fahrenheit to Celsius is given by the formulaC = \dfrac{5}{9} \left(F - 32\right)
Given that F = 50, evaluate C.
The temperature inside a freezer is 86 \degree\text{F}. Convert this temperature into Celsius.
In physics, Newton's second law states that F = m a, where F is the force of on object (measured in Newtons), m is the mass of the object (in kilograms) and a is the acceleration of that object (measured in metres/second^{2}).
Calculate the force, F, created from an object with:
Newton's second law of motion states that a = \dfrac{F}{m}, where F is the force acting on an object (in Newtons), m is the mass of the object (in kilograms) and a is the acceleration of that object (in \text{m}/\text{s}^{2}). Calculate the acceleration of an object with a mass of 25 kilograms and a force of 775 Newtons acting on it.
The volume of a sphere can be calculated using the formula V = \dfrac{4}{3} \pi r^{3}, where r is the radius of the sphere. Given that a sphere has a radius of 2\text{ cm}, calculate its volume correct to two decimal places.
The value of a variable T is defined by the formula T = a + \left(n - 1\right) d. Given that a = 6, \\ n = 5 and d = 8, find the value of T.
Sally bought a television series online. The television series was 7.2 gigabytes large and took 2 hours to download. The formula b = 8 B converts gigabytes, B, to gigabits b. Find the size of the television series in gigabits.
The sum of n terms in an arithmetic sequence is defined by the formula \\ S = \dfrac{n}{2} \left( 2 a + \left(n - 1\right) d\right). Given that n = 10, a = 3 and d = 9, find the value of S.