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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

DB
Answered by Danial B. Maths tutor
4559 Views

Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

  1. Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum ove...
TW
Answered by Tommy W. Maths tutor
3229 Views

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...

DS
Answered by Darsh S. Maths tutor
3341 Views

How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multi...

RW
Answered by Ryan W. Maths tutor
3171 Views

Find the value of (cos(x) + sec(x))^2 with respect to x when evauated between pi/4 and 0

first we have to see if this proble can be done via inspection. The power of two means that this can't be done straight away and the expression does not look like any trig identities.
Expand it.

EC
Answered by Eugene C. Maths tutor
3053 Views

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