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How to solve the following for x: (2x+3)/(x-4) - (2x-8)(2x+1) = 1

(The full answer produced answer is annotated working out, but since this text box won't let me submit pictures, I'll do my best to transcribe)First, we gather the two fractions by using a common denomina...

Answered by Cal F. • Maths tutor

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Joan cycles from her house to a shop 900 m away. She then cycles to her friends' house 700 m away. The average speed for the first part of her journey is 2 m/s. The second part takes her 16 mins. What is the average speed for her entire journey?

S: 900 700D: 2 m/sT: 960s
Need to find speed in seconds so convert 16 mins to seconds.
To find average, we must find time for the first part. Using...

Answered by Aisha R. • Maths tutor

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In a triangle ABC, side BC = 8.1 cm, side AC = 7 cm, and angle ACB = 30 degrees. What is the area of the triangle?

Initially, one might think to use area = 1/2 x base x height, however drawing the triangle immediately shows that this is not possible here. We then think to use the formula for area using two adjacent si...

Answered by Ellie B. • Maths tutor

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Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.

For the first part of the question, we can firstly assume that the... area of slab 1 + area of slab 2 + area of slab 3 = total area, which we know to be 7m^2Knowing that to work out the area of a squa...

Answered by Nathan J. • Maths tutor

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