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Show that 3/10 + 2/15= 13/30

First make the denominator the same

3/10 X3 

2/15 X2

=9/30 + 4/30

=13/30

EP
Answered by Emily P. Maths tutor
7308 Views

Expand and simplify 3(m + 4) – 2(4m + 1)

Multiply through the 3 of the first bracket to get 3m +12. Then multiply out the second bracket by -2 to get -8m -2.

Write it out in a line: 3m + 12 - 8m -2

Simplify: -5m +10

Divide b...

TD
Answered by Tutor49422 D. Maths tutor
14682 Views

A bag contains 5 blue marbles and 5 red marbles. If marbles are NOT replaced after being selected from the bag, what is the probability (in percentage) of picking 2 red marbles? Give your answer to one decimal place.

As there are a total of 10 marbles in the bag, then the probability of picking a red marble is 5/10. When the next marble is selected, there are only 9 marbles left in the bag since the red marble has not...

PB
Answered by Peter B. Maths tutor
9275 Views

Differentiate y=(x^2+1)(e^-x)

Here, we're using the product rule (and the chain rule for the e-x): y=(x2+1)(e-x) dy/dx=(2x)(e-x)+(x2+1)(-1)(e-x) Then we simplify to get...

RD
Answered by Rishav D. Maths tutor
7037 Views

Integrate the following function: f(x) = 8x^3 + 1/x + 5

We can see that the function is a sum of three terms so we can deal with each term separately and add them up. The term 8x3 and 5 are relatively straightforward and follow the standard rules fo...

EJ
Answered by Eleanor J. Maths tutor
3733 Views

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