Answer:
Step-by-step explanation:
The given equations are:
-9.5x – 2.5y = –4.3 (1)
and 7x + 2.5y = 0.8 (2)
Adding equation (1) and (2) together, we get
-9.5x-2.5y+7x+2.5y=-4.3+0.8
⇒-2.5x=-3.5
⇒x=1.4
Now, substitute the value of x=1.4 in equation (1),
-9.5(1.4)-2.5y=-4.3
⇒-13.3-2.5y=-4.3
⇒-13.3+4.3=2.5y
⇒-9=2.5y
⇒y=-3.6
Thus, the value of x and y are 1.4 and -3.6 respectively.
Answer:
98
You have to use prime factor decompisition. I hope this helps
Answer:
H. the number of orchestra seat is 900
Step-by-step explanation:
Step one:
let the number of orchestra seat be x
and balcony seat be y
cost of orchestra= $50 each
cost of balcony =$40 each
total tickets= 1500
x+y= 1500----------1
amount earned= $69000
50x+40y=69000--------2
The system of equation for the situation is
x+y= 1500----------1
50x+40y=69000--------2
from 1, x=1500-y
put this in equation 2
50(1500-y)+40y=69000
75000-50y+40y=69000
-10y=69000-75000
-10y=-6000
divide both sides by -10
y=-6000/-10
y=600
put y= 600 in equation 1
x+600= 1500
x=1500-600
x=900
Answer:
second choice
Step-by-step explanation:
Answer:
If 
is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, is not divisible by 3.
Let n not be divisible by 3. Then 
can be written in the form of fraction 
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring
Thus,
It can be clearly seen that the fraction 
is in lowest form.
Hence, is not divisible by 3.
Thus, by contrapositivity if is divisible by 3, the n is also divisible by 3.
