You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How much olive oil and balsamic vinegar do you use? You use ___ tablespoons of olive oil and

___ tablespoons of balsamic vinegar.

The amount of olive oil and balsamic vinegar to use are;

You use 22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar

Step-by-step explanation:

From the question, we have;

The number of tablespoons of olive oil added for every 3/2 tablespoon of balsamic vinegar = 11/4 tablespoons

Therefore, in the mixture, the ratio of olive oil to balsamic vinegar = 11/4:3/2

Let 'x', and 'y' represent the the number of tablespoons of olive oil and balsamic vinegar, in the mixture 34 tablespoons of bread dip, we can write;

x + y = 34 tablespoons

x/y = (11/4)/(3/2) = 11/6

∴ x = 11/6 × y

∴ x + y = 11/6 × y + y = 34

11/6 × y + y = 17·y/6 = 34

17·y = 34 × 6 = 204

y = 204/17 = 12

The number of tablespoons of balsamic vinegar in the bead dip, y = 12 tablespoons of balsamic vinegar

x = 11/6 × y = 11/6 × 12 = 22

The number of tablespoons of olive oil in the bead dip, x = 22 tablespoons of olive oil.

true

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is