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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...

Answered by Emma W. • Maths tutor

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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.

Answered by Ben W. • Maths tutor

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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...

Answered by Ummar B. • Maths tutor

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Solve the simultaneous equations: 3x + y = -4 and 3x - 4y = 6

First subtract the first equation from the second getting:0 - 5y = 10-5y = 10Then divide both sides by (-5)y = -2Then substitute the y value of (-2) back into the first equation giving:3x + (-2) = -43x = ...

Answered by Luke C. • Maths tutor

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A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1)
Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-...

Answered by Thomas F. • Maths tutor

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