in a recipe for tomato sauce, the ratio fluid ounces of water to fluid ounces of tomato paste is three to four. you plan to make 35 fluid ounces of tomato sauce. How many fluid ounces of tomato paste do you need?

20 fluid ounce of tomato paste

Step-by-step explanation:

Given parameters:

  Recipe for the sauce;

                   Fluid ounces of water   :  Fluid ounces of tomato paste

                                                       3: 4

 Number of fluid ounces of tomato sauce  = 35

Unknown:

Fluid ounces of tomato paste needed  = ?

Solution:

  Total ratio  = 3 + 4  = 7

Fluid ounces of tomato paste  =  

Fluid ounces of tomato paste  = x 35  = 20

It will take 20 fluid ounce of tomato paste to make the sauce.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

b

step-by-step explanation: