Answer:
The final price is $ 22.68 And Proportional constant is 1.4
Step-by-step explanation:
Given as :
The Original price = $ 16.20
The rate of increase = 40%
Let The final price = x
Now,
Final price after increase = initial price × ( 1 + 
Or. Final price after increase = $ 16.20 × ( 1 + 
Or, Final price after increase = $ 16.20 × ( 1.4 )
∴ Final price after increase = $ 22.68
Now , Proportional constant = 
I.e Proportional constant = 1.4
Hence The final price is $ 22.68 And Proportional constant is 1.4 Answer
The answer is 6:15, but if u need to simplify the answer would be 2:5.
Answer:
Move all terms that don't contain
m
to the right side and solve.
Exact Form:
m
=
41
7
Decimal Form:
m
=
5.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
Mixed Number Form:
m
=
5
6
7
Tap to view steps...
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance
a =3
b =2.5
c =4
Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°
cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°
C=180 - 48.59° - 38.625°
C= 92.79°
The three angles are 48.59°,38.63° and 92.79°.
Answer:
the values of x, y and z are x= 2, y =-1 and z=1
Step-by-step explanation:
We need to solve the following system of equations.
We will use elimination method to solve these equations and find the values of x, y and z.
2x + 2y + 5z = 7 eq(1)
6x + 8y + 5z = 9 eq(2)
2x + 3y + 5z = 6 eq(3)
Subtracting eq(1) and eq(3)
2x + 2y + 5z = 7
2x + 3y + 5z = 6
- - - -
_____________
0 -y + 0 = 1
-y = 1
=> y = -1
Subtracting eq(2) and eq(3)
6x + 8y + 5z = 9
2x + 3y + 5z = 6
- - - -
______________
4x + 5y +0z = 3
4x + 5y = 3 eq(4)
Putting value of y = -1 in equation 4
4x + 5y = 3
4x + 5(-1) = 3
4x -5 = 3
4x = 3+5
4x = 8
x= 8/4
x = 2
Putting value of x=2 and y=-1 in eq(1)
2x + 2y + 5z = 7
2(2) + 2(-1) + 5z = 7
4 -2 + 5z = 7
2 + 5z = 7
5z = 7 -2
5z = 5
z = 5/5
z = 1
So, the values of x, y and z are x= 2, y =-1 and z=1
