Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number

9514 1404 393

  36

Step-by-step explanation:

Let the digits of the number be represented by t for the tens digit and u for the units digit.

  u = 2t . . . . . . . . the units digit is twice the tens digit

  2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse

Substituting for u, we have ...

  2(10t +2t) = 10(2t) +t +9

  24t = 21t +9 . . . . . . . . . . . collect terms

  3t = 9 . . . . . . . . . . . . . subtract 21t

  t = 3 . . . . . . . . . . . divide by 3

  u = 2t = 6 . . . . find u

The number is 36.

y=1/4x-4

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week