- 9 + 12 x (-1/3)+2÷1/9=

5

Step-by-step explanation:

Multiply

( −9 ) + 12× (- 1/3) + 2 ÷ 1/9 = ( −9 ) + (-12/3) + 2 ÷ 1/9  

−1/3 × 12 = − 1 × 12 /3 = −12/3

Divide

( −9 ) + (−12/3) + 2 ÷ 1/9 = ( −9 ) + (-12/3) + 18/1  

Convert integer to fraction

2 = 2/1  

2/1 ÷ 1/9 = 2/1  × 9 over 1 = ( 2 × 9 ) over ( 1 × 1 ) = 18/1

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

Add

( −9 ) + (−12/3) + 18/1  = (−39/3 ) + 18/1  

Convert integer to fraction

−9 = -9/1  

Add a negative

-9/1 + (12/ 3) = -9/1 − 12 over 3

Adding a negative is the same as subtracting a positive.  

Find common denominator  

-9/1  − 12/3 = −( 9 × 3 ) / ( 1 × 3 )  - (12 × 1 ) / ( 3 × 1 ) = -27/3 − 12/3

3 is the least common multiple of denominators 1 and 3. Use it to convert to equivalent fractions with this common denominator.

Subtract  

-27/3 − 12/3 = (- 27−27 − 12 )/3 = −39/3  

Add

(-39/3) + 18/1 = 15/3

Find common denominator

−39/3 + 18/1 = −( 39 × 1 ) / ( 3 × 1 ) + ( 18 × 3 ) / ( 1 × 3 )  = -39/3 + 54/3

3 is the least common multiple of denominators 3 and 1. Use it to convert to equivalent fractions with this common denominator.  

Add

-39/3 + 54/3 = ( -39−39 + 54 ) /3 = 15 over 3

Simplify

15/3 = 5

180°

step-by-step explanation:

sum of equilateral triangle=180°

< n=60°

< m=120°°[angle supplementary of equilateral angle]

< m+< r+< x=360°(sum of exterior angle of triangle)

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: