Emanuel was charged
$
32
$32dollar sign, 32 for a
14
2
9
km
14
9
2

km14, start fraction, 2, divided by, 9, end fraction, start text, space, k, m, end text taxi ride.

Emanuel paid US$ 2.25 per kilometer in the taxi ride.

Complete statement and question:

Emanuel was charged $32 for a 14 2/9 km taxi ride. What was the cost per kilometer?

Sources:

link

https://educationexpert.net/mathematics/876223.html

Step-by-step explanation:

Cost per kilometer of the taxi ride = 32/(14 2/9)

Cost per kilometer of the taxi ride = 32/(128/9) ⇒ 14 2/9 = 128/9

Cost per kilometer of the taxi ride = 32 * 9/128 (Multiplicative inverse)

Cost per kilometer of the taxi ride = 288/128 = 144/64 =9/4 = 2 1/4 = 2.25

Emanuel paid US$ 2.25 per kilometer in the taxi ride.

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb