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Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work

2/7 of 420 = 120 vanilla cakes35% of 420 = 147 banana cakes420 - 120 - 147 = 153 chocolate and vanilla cakes4+5 = 9153/9 = 1717*4 = 68

Answered by Anna F. • Maths tutor

16038 Views

Solve the equation x^2-10x+21=0

First of all notice the highest power on this equation is '2' so it must be a quadratic equation. Using the general form Ax^2+Bx+C=0 we must find two numbers that are factors of C and add together to get ...

Answered by Simran S. • Maths tutor

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A box contains an assortment of 100 coloured marbles, coloured red, blue and green. The ratio of blue balls to green balls is 1:3. If there are 16 red balls in the box, what is the ratio of red balls to green balls, and red balls to blue balls?

The student should state that there are x blue balls. From this, they may determine that overall, the number of blue and green balls combined must be 4x, and hence the number of red balls is therefore '10...

Answered by Daniel H. • Maths tutor

2356 Views

Make x the subject of the following formula: 5(3x -2y) = 14 - 2ax

(1) 5(3x - 2y) = 14 -2ax 15x - 10y = 14 - 2ax (2) 15x +2ax -10y = 14 15x + 2ax = 10y + 14
(3) x(15 + 2a) = 10y + 14 x = (10y + 14) / (15 + 2a)
To asking us to make x the subject of a fo...

Answered by Thomas W. • Maths tutor

3137 Views

A is the point (2,-5), B is the point (-1,4). (a) What is the gradient of the line passing through points A and B? (b) Does the point (-100,301) lie on the line passing through points A and B?

(a) let A be (x1,y1) and B be (x2,y2), Gradient = m = (y2-y1)/(x2-x1) m = (4- -5)/(-1-2) = 9/(-3) = -3 Gradient = -3
(b) equation of a straight line line: y = mx + c => y1 = ...

Answered by Hallam M. • Maths tutor

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