Answer:
The amount of olive oil and balsamic vinegar to use are;
You use <u>22</u> tablespoons of olive oil and <u>12</u> 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.
Answer:
y = 1/5x - 6/5
Step-by-step explanation:
Step 1: Write out known variables
m = 1/5
y = 1/5x + b
Step 2: Find <em>b</em>
-1 = 1/5(1) + b
-1 = 1/5 + b
b = -6/5
Step 3: Write linear equation
y = 1/5x - 6/5
Answer:
t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Step-by-step explanation:
Solve for t:
4.9 t^2 - 2.78 t - 1.15 = 0
4.9 t^2 - 2.78 t - 1.15 = (49 t^2)/10 - (139 t)/50 - 23/20:
(49 t^2)/10 - (139 t)/50 - 23/20 = 0
Multiply both sides by 10/49:
t^2 - (139 t)/245 - 23/98 = 0
Add 23/98 to both sides:
t^2 - (139 t)/245 = 23/98
Add 19321/240100 to both sides:
t^2 - (139 t)/245 + 19321/240100 = 75671/240100
Write the left hand side as a square:
(t - 139/490)^2 = 75671/240100
Take the square root of both sides:
t - 139/490 = sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
t = 139/490 + sqrt(75671)/490 or t - 139/490 = -sqrt(75671)/490
Add 139/490 to both sides:
Answer: t = 139/490 + sqrt(75671)/490 or t = 139/490 - sqrt(75671)/490
Your missing value would be 47
