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In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.

office that is females with glasses=(2/3)(1/4)=1/6 office that is males wearing glasses=(1/3)(3/8)=1/8 (1/6)/(1/8) = 8/6=4/3 so there is a ratio of 4:3 women to men wearing glasses 84*(4/7)=12

Answered by William J. • Maths tutor

15619 Views

Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.

Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2:...

Answered by Sacha W. • Maths tutor

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Given the area of the pool is 63m^2, what is the value of x?

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x²+10x+240 = x²+10x-390 = (x-3)(x+13)
x-3=0 so x=3x+13=0 giv...

Answered by Toby G. • Maths tutor

2723 Views

A roll of card has an area of 43 m^2. A postcard has an area of 125 cm^2. How many post cards can be cut from the roll, assuming there is no wastage? (calculator question)

This question is assessing your knowledge of units and their conversion. Notice that the area units of the roll of card and the postcard are different, so it is important that before we carry out any calc...

Answered by Hafsah G. • Maths tutor

2767 Views

The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.

The most important fact to remember with this question is that two perpendicular straight lines have gradients related by m₁ = -1/m_2. This can then be used to find the gradient of t...

Answered by James A. • Maths tutor

4386 Views