A piece of string is 1650 cm long. It is cut into two unequal pieces.
One piece is 150 cm longer than the other.
How long is the smaller piece?

The smaller piece is 1500m long.

Step-by-step explanation:

let the smaller piece be x

so

x + 150m = 1650 m

or, x = 1650m - 150m

so, x = 1500m

Step-by-step explanation:

Length of a piece of string= 1650cm

First piece (x)= 150 + second piece(y)

x=150+y

Total length

x+y=1650

150+2y=1650

2y=1500

y=750cm

Smaller piece length is 750cm

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

i think it would be 42cm