Zachary made a scale drawing of a house and its lot. The backyard is 6 inches long in the drawing. The actual yard is 2 feet long. What scale did Zachary use for the drawing?

4:1

Step-by-step explanation:

First we need to convert all measurements to the same unit.

So, if we convert the length of the actual yard of 2 feet to inches, we have that:

1 feet = 12 inches

2 feet = 2 * 12 = 24 inches.

Now, to find the scale used, we just need to divide the actual yard length by the drawing length:

scale = 24 / 6 = 4

So the scale used is 4:1

$32,660

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.