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Expand and simplify (x+6)(x+4)

Answer: x 2 +10x+24 Method: A handy way of knowing how to expand brackets involves the pneumonic FOIL: - F stands for First, so we multiply the first term in the first bracket by the first term in the second...
EM
Answered by Emma M. • Maths tutor
26267 Views

How do I multiply or divide fractions without a calculator?

For multiplication: Firstly, write out the sum you are trying to do, for example 3/4 X 1/8 Then, times the top numbers by each other and the bottom numbers by each other 3 x 1 = 3, 4 x 8 = 24 Then, rewrite t...
WM
Answered by William M. • Maths tutor
19269 Views

Work out the value of x and y in the parallelogram ABCD.

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 (2x+43) + (4y-5x)=180 -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 4y-3x=180-43 -> 4y= (100-43)+3...
KS
Answered by Kwarteng S. • Maths tutor
23346 Views

n sweets, 6 are orange, the rest are yellow. Sophie takes at random a sweet. She eats the sweet. Sophie then takes at random another sweet. She eats the sweet. The probability that Sophie eats two orange sweets is 1/3. Show that n² – n – 90 = 0

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second selec...
OL
Answered by Oliver L. • Maths tutor
3433 Views

Rewrite ... logF=logG+logH−log(1/M)−2*logR ... in the form F=... using laws of logarithms

logF=logG+logH−log(1/M)−2*logR Simplify RHS using law of logarithms, logF=log(G H)−log(1/M)−2logR using law of addition logF=log(G H M)−2 logR using law of subtraction logF=log((G H M)/R^2)) using law of pow...
AR
Answered by Ambrose R. • Maths tutor
6663 Views