On weekdays it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?

£16.90

Step-by-step explanation:

From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:

= £6.50 + (30% × £6.50)

= £6.50 + ( 0.3 × £6.50)

= £6.50 + £1.95

= £8.45

The cost to hire a court for 2 hours on a Saturday will then be:

= £8.45 × 2

= £16.90

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)