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James is 7 years older than Kate. Sam is twice as old as James. The sum of their ages is 77. Find the ratio of Kate's age to James' age to Sam's age.

Kate's age = xJames age = x + 7 Sam's age = 2x + 14sum of age = 77 Therefore x + x+7 + 2x+14 = 774x + 21 = 77 4x = 56 x= 14 ratio = 14:21:42

Answered by Danial B. • Maths tutor

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The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-inte...

Answered by Darsh S. • Maths tutor

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What are the external angles of a regular hexagon?

(A diagram would be used to show what the external angles are)For any regular shape the external angles add up to 360 degrees. The external angles will all be equal since we are dealing with a regular sh...

Answered by Hannah B. • Maths tutor

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Solve the equations y = x + 1 and y = x^2 - 3x + 4 simultaneously.

The first step is to identify that the first equation is linear and the second equation is a quadratic as indicated by the x squared term. Next, take the first linear equation and substitute for y in the ...

Answered by Emily I. • Maths tutor

8960 Views

If the area of a sector of a circle is 3*pi cm^2 and the circle has a radius of 6cm, what is the angle of the sector?

The total area of the circle is pi*r^2 = 36 piThis means that the sector is 1/12th of a circle.A circle has 360 degrees and so the angle of the sector wil be 360/12 = 30 degrees.

Answered by Cameron A. • Maths tutor

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