Some invitees at the annual party wore a tie, some wore a bowtie. the ratio of invitees who had a tie to the total number of invitees was 2: 5 .if there were 27 invitees who wore a bowtie, how many invitees were at the annual party.

45 invitees were at the annual party.

Step-by-step explanation:

Given : The ratio of invitees who had a tie to the total number of invitees was 2:5. If there were 27 invitees who wore a bow tie.

To find : How many invitees were at the annual party ?

Solution :

Let the ratio be 'x'.

The number of invitees wearing tie = 2x

Total number of invitees = 5x

So, the number of invitees wearing bow tie = 5x-2x=3x.

The ratio of number of invitee wearing bow tie and number of invitees is 3:5.

Let y be the number of invitees at the annual party be 'y'

According to question,

Therefore, 45 invitees were at the annual party.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.