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Solve for x and y, with x and y satisfying the equations 3x+2y=36and 5x+4y=64

x=8 y=6

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There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?

5 out of the 20 sweets in the bag are white. This could be written as 5/20. This is the probability. However, this can be simplified to 1/4 'one quarter' or 0.25.

Answered by Toby D. • Maths tutor

3832 Views

Integrate the function f(x)=lnx

This question must be attempted by integration by parts since it cannot be integrated outright and we can thus change the integral to 1 times lnx. We can then use the formula for integration by parts of I...

Answered by Srikant S. • Maths tutor

3419 Views

What is 12x^6 / 7 divided by 4x^2 / 5 ?

When dividing fractions, the first step is to change the division symbol to a multiplication symbol and flip the fraction that we are dividing by which gives us 12x⁶ / 7 multiplied by 5 / 4x

Answered by Juliette R. • Maths tutor

3612 Views

How do I integrate ∫ xcos^2(x) dx ?

First, recall that when integrating, squared trigonometric functions often cause issues. Therefore, use the identity: cos^2(x) = (cos(2x) + 1)/2 to remove this power, giving the integral: ∫ (xcos(2x))/2 ...

Answered by Stephi S. • Maths tutor

22853 Views