Of the three different types of horses on a ranch, 1/4 are arabians, 2/5 are thoroughbreds, and the rest are morgan's. what fraction of the horses are morgan's?

The fraction of horses that are Morgan's=17/20

Step-by-step explanation:

Step 1: Determine fraction for each breed

Arabians=1/4

Thoroughbreds=2/5

Morgan's=unknown

Step 2: Express each breed as a fraction of the total

Number of Arabians=fraction of Arabians×total number of horses

Let total number of horses be x

Arabians=(1/4)×x=1/4 x

Thoroughbreds=(2/5)×x=2/5 x

Morgans's=m

Step 3: Calculate fraction of Morgans

Total number of horses=Arabians+Thoroughbreds+Morgans

x=(1/4)x+(2/5)x+m

solve for m;

m=x-(1/4)x-(2/5)x

m=x-3/20x

m=17/20 x

The fraction of horses that are Morgan's=17/20

step-by-step explanation: noo

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.