Given point
A = (-3,-5)
B = (2,5)
AB = {(x1+x2)/2 , (y1+y2)/2}
AB = {(-3+2)/2 , (-5+5)/2}
:. AB = (-0.5 , 0)
Answer:
The answer is the 2nd choice
Step-by-step explanation:
According to the statement,
(5/6)a - (1/3)a = 13
(5 - 2) a / 6 = 13
a = 26 gallons
Price of movie ticket in Japan is x=7.362$
Price of movie ticket in Switzerland is y=13.652$
Step-by-step explanation:
Let, Price of movie ticket in Japan is x
Price of movie ticket in Switzerland is y
Statement 1 : Total of 79.39$ of three movie ticket in Japan and two movie ticket in Switzerland
We write, 3x+2y=79.39 ( Equation 1 )
Statement 1 : Total of 75.68$ of two movie ticket in Japan and three movie ticket in Switzerland
We write, 2x+3y=75.68 ( Equation 2 )
Solving by method of elimination
Multiplying equation 1 by 2, we get
6x+4y=158.78
Multiplying equation 2 by 3, we get
6x+9y=227.04
Subtracting both the linear equation,
6x+4y=158.78
- 6x+9y=227.04
_______________
0x-5y=(158.78-227.04)
-5y=(-68.26)
5y=68.26
y=13.652$
Replacing value of y in any equation
3x+2y=79.39
3x+2(13.652 )=79.39
x=17.362$
Thus,
Price of movie ticket in Japan is x=7.362$
Price of movie ticket in Switzerland is y=13.652$
The equivalent number to the given expanded form is 203.403
<u>Step-by-step explanation</u>:
To find the equivalent number of the expanded form, Use BODMAS rule.
B - bracket
O - of
D - division
M - multiplication
A - addition
S - subtraction
In the given equation, look for the BODMAS order to solve the expanded form:
<u>step 1</u>: solve the numbers inside the bracket.
(2*100)+(3*1)+(4*1/10)+(3*1/1000) = 200 + 3 + 4/10 + 3/1000
<u>step 2</u>: In the order of BODMAS, division comes before addition. So, Division has to be given priority and then addition should be performed.
200 + 3 + 0.4 + 0.003 = 203.403
