you add 7/3 tablespoons of olive oil for every 8/6 tablespoons of balsamic vinegar to make 44 tablespoons of bread dip. how much oil and basaltic vinegar do you use?

28 tablespoons of olive oil

16 tablespoons of balsamic vinegar

Step-by-step explanation:

Olive oil : Balsamic vinegar

        7/3 : 8/6

Add them together:   7/3 + 8/6 = 11/3

Divide the total (44 tablespoons) by sum of ratios:  44 ÷ 11/3 = 12

Therefore, the scale factor = 12

Now multiply the ratios by the scale factors:

12 x 7/3 = 28 tablespoons of olive oil

12 x 8/6 = 16 tablespoons of balsamic vinegar

i need a diagram

step-by-step explanation:

no

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81