Answer:
-15/2
Step-by-step explanation:
Subtract 14x from both sides to get
Subtract 12 from both sides to get
Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get
Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e. 
). But this is not the case since 6 is positive, so we mantain the inequality sign:
on the other. We can simplift both sides, i.e. sum like terms, to get
Evaluate left and right hand side:
Answer: V = 5.22m/s
Step-by-step explanation:
Given that the mass of the particles is proportional to the fifth power of the speed. That is
M = k V^5
Where M = mass and V = speed
K = constant of proportionality
A certain river normally flows at a speed of 3 miles per hour
V = 3 mph
M = unknown
M = k × 3^5
M = 243K
K = M/243 ........(1)
What must its speed be in order to transport particles that are 16 times as massive as usual
M = 16M
Using same formula
I.e M = KV^5
16M = M/243 × V^5
M will cancel out
16 = V^5/243
V^5 = 3888
V = 5.22m/s
Answer:
The answer to your question is x = 24 and y = 12
Step-by-step explanation:
Data
ED = x HJ = 18
DF = 16 JG = y
EF = 20 HG = 15
Process
1.- Find x
Use proportions to find it
ED/EF = HJ/HG
Substitution
x/20 = 18/15
Solve for x
x = 20(18/15)
x = 360/15
x = 24
2.- Find y
JG/JH = DF/ED
Substitution
y/18 = 16/24
Solve for y
y = 18(16/24)
y = 288/24
y = 12
The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2
