When Carla looked at the library, she noticed that for every 2 nonfiction books, there were 5 fiction books. If there are 161 books total, how many of them are not nonfiction books.

138 nonfiction

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of nonfiction to fiction books is 2 to 5

otherwise expressed as 2:5

the total ratio is 2+5= 7

the total number of books is 161,

applying the part to all approach

nonfiction to all is

let the nonfiction be x

2/7=x/161

cross multiply we have

7x= 161*6

7x=966

divide both sides by 7

x=966/7

x=138 nonfiction

138 nonfiction

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²