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
Answer:
inches or approximately 5.97 inches
Step-by-step explanation:
Use the cone volume formula: V =
r²
The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V =
r²
100 =
(4²)(
)
100 = 16

Divide each side by 16
= 
Cross multiply and solve for h:
4
h = 75
h = 
So, the cone's height is
or approximately 5.97 inches
Answer:
packs
Step-by-step explanation:
Given


Required
The total packs bought
This is calculated as:


The unit rate of the car is simply the average speed of the car between the two points.
The unit rate of the car is 40 miles per hour
From the diagram (see attachment), we have:
- The distance between the two points is: 80 miles
- The time spent to cover this distance is: 2 hours
<h3>The unit rate</h3>
So, the unit rate is:

This gives

Simplify the quotient

Hence, the unit rate of the car is 40 miles per hour
Read more about unit rates at:
brainly.com/question/4931057