N + d = 21
0.5n + 0.10d = 1.35
5n + 10d = 135
d = 21-n
5n + 210 - 10n = 135
-5n = -75
n = 15
d = 6
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
To determine the correct answer, you will need to find the ranges, means, medians, and mode of City B. You can compare the answers then to answer the question. Please see the attached picture for the necessary information.
The correct choice is the first statement about the mode for City B.
Answer:
The lateral area rectangular prism is
.
The area of the two bases of rectangular prism together is
.
The total surface area rectangular prism is
.
Step-by-step explanation:
Height of the rectangular prism = h = 4 units
Length of the base of the rectangular prism = l = 6 units
Width of the base of rectangular prism = b = 5 units
Rectangular prism = Cuboid
Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)
Lateral surface area of rectangular prism :

Area of the base = l × b
Area of the base of the rectangular prism = 
Area of the two bases = 
Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)
Lateral surface area of rectangular prism :


Answer:
y=x-2
Step-by-step explanation:
2y=2x-4
y=x-2