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x + y = 11, and x^2 + y^2 = 61, Work out values of y in the form of x

This is a simultaneous equation question, and it is important to read the question and pick out the information we want, and see what we are trying to get to, then work out a pathway on how we will get to...

VV
Answered by Venkat V. Maths tutor
4526 Views

1 a. If x=6a+3 and a is 4 what is x? b. Make a the subject of the formula.

1a. a=4 Substitute the number into the equation x= (6 x 4) + 3= 24 + 3= 27
b. We need to isolate a So minus three from both sides to start with (what you do to one side you must do to the other, oth...

EW
Answered by Emma W. Maths tutor
3053 Views

If a cookie recipe requires 280g of flour for 12 cookies how much flour is needed to make only 9 cookies

9/12 = 3/43/4 * 280 = (3 * 280) / 4 = 3 * 70 = 210so only 210 g is needed for 9 cookies.

BW
Answered by Ben W. Maths tutor
4057 Views

There are 9 counters in a bag. 7 of the counters are green. 2 of the counters are blue. Two counters are chosen at random, what is the probability one counter of each colour is chosen.

There are two methods to pick one counter of each. Either pick the (1)green counter first and then blue, or a (2)blue counter first and then green. We must calculate the probability of both of these scena...

UB
Answered by Ummar B. Maths tutor
27998 Views

Express 1/(1+2x)(1-x) in partial fractions

1/(1+2x)(1-x)=(A/(1+2x))+(B/(1-x))1=A(1-x)+B(1+2x) Now set the bracket of one of A or B equal to 0 to get an equation with 1 unknown.Set x=11=A(1-1)+B(1+2(1))1=A(0)+B(3)1=3BB=1/3Set x=-(1/2)1=A(1-(-1/2))+...

LC
Answered by Luke C. Maths tutor
4268 Views

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