A land developer wants to divide up 9/10 of an acre Of land into equally sized lots for houses. He wants to build nine houses. How big can he make each lot? Write your answer as a fraction or as a whole or a mixed number

1/10 acres

Step-by-step explanation:

A land developer wants to divide up 9/10 of an acre Of land into equally sized lots for houses. He wants to build nine houses. How big can he make each lot?

This is calculated as:

1 lot = 1 house

Hence:

9 house = 9/10 acres

1 house = x

Cross Multiply

9x = 9/10 acres

x = 9/10 ÷ 9

x = 9/10 × 1/9

x = 1/10 acres

Hence, the size of each lot when divided equally = 1/10 acres

yes

step-by-step explanation:

yes

(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