Answer:
67 degrees (Answer 2)
Step-by-step explanation:
These two angles must sum up to 180 degreess because they are supplementary. Then:
7x + 11 + 14x + 1 = 180, or
21x + 12 = 180, or
21x = 168
Solving for x, we divide both sides by 21. This results in x = 8.
The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).
-7, -4/5, 0, 1/2, 7/8, and 2
An even function implies f(x) = f(-x)
We know that if (6,8) is a point on the graph, then f(6) = 8
By definition, f(6) = f(-6) = 8
So (-6, 8) is also a point on the graph.
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
