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
As given Zahra has paper rectangles of different sizes.
Also, Every rectangle is 5 cm is longer than it's breadth.
So, if Length=L, then Breadth= L- 5
Or , if Breadth= B, then Length= B+5
or, if length is x and breadth is y ,then writing in terms of equation
→x=y+5
As you can see,there is not any proportional relationship between length and widths of these rectangles.
Answer:
The volume of the pentagonal prism is 1446.25
Step-by-step explanation:
First of all we need to calculate the area of the pentagon
A = area
a = apothem = 8.9
p = perimeter = 13 * 5 = 65
A = (a*p) / 2
A = (8.9 * 65) / 2
A = 578.5 / 2
A = 289.25
To calculate the volume of a pentagonal prism we have to use the following formula:
a = area = 289.25
v = volume
h = height = 5
v = a * h
we replace the values that we know
v =
289.25 * 5
v = 1446.25
The volume of the pentagonal prism is 1446.25
(3,0)
Step-by-step explanation:
Different - add
2x - y = 6
+
x + y. = 3
3x = 9
÷3
x = 3
Substitute x = 3 into one of the equation:
x + y = 3
3 + y = 3
-3
y = 0
Solution is (3,0)
Hope this helps!
Answer:
24% could be going to school by walking
Step-by-step explanation:
