4x + 3y = 5...(1)
2x + 3y = 1...(2)
(2)*2:
4x+6y=2...(3)
(1)-(3):
4x+3y-(4x+6y)=5-2
4x+3y-4x-6y=3
-3y=3
y=-1
By sub. y=-1 in (2), we have
2x+3(-1)=1
2x-3=1
2x=4
x=2
The solution is x=2,y=-1
Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
Answer: The answer is B 0.075 cm
Step-by-step explanation:
Since the drawings is a scale of the original you must use a proportion to solve the desired side. 0.045/.9=w/1.5;w=0.075.
X - tickets
----------------------------------
167x + 19x + 16 = 1132
186x + 16 = 1132
186x = 1132 - 16
186x = 1116
x = 1116 : 186
x = 6 tickets (answer).