The events committee buys 100 flowers for a school dance. the flowers are a combination of carnations and roses. each carnation costs $0.75, and each rose costs $2.75. the committee spends a total of $139, not including tax.

how many of each type of flower does the committee buy?

The events committee buys 100 flowers for a school dance.

The flowers are a combination of carnations and roses.

The cost of each carnation = $0.75

The cost of each rose = $2.75

The committee spends a total of = $139

Let the number of carnation be 'c' and number of roses be 'r'.

c + r = 100

r = 100 - c (1)

2.75r + 0.75c = 139     [we will divide the equation by 2.75]

r + 0.272c = 50.55      [ now put the equation (1) in the place of r ]

(100-c) + 0.272c = 50.55 (2)

100 + - c + 0.272c = 50.55

-0.728c + 100 = 50.55

-0.728c = -49.45

c =

c = 67.9 ≈ 68 carnations

r = 100 - c

= 100 - 68

r = 32

The committee bought 68 carnations and 32 roses.

Step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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.