Answer:
Step-by-step explanation:
(a) Let x represent the length of the first side. Then the second side is (x+4) and the third side is (x+3). The perimeter is ...
x + (x+4) +(x+3) = 15
3x = 8 . . . . collect terms, subtract 7
x = 2 2/3 . . . . divide by 3
The third side is x+3 = 5 2/3 inches.
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(b) For this, we are told the second side is S, so we have ...
S = (x+4)
x = S -4 . . . . . subtract 4 to solve for x
Using this in our expression (in part (a)) for the third side, we have ...
third side = (x +3) = (S -4) +3
third side = S -1
Answer:
The equation of the line is 
.
Step-by-step explanation:
According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:
(1)
(2)
By applying the definition of the equation of the line, we form this system of two linear equations with two variables:
(3)
(4)
By algebraic mean we get the following solution:
and 
And the equation of the line is .
Answer:
You can use the method of substitution.
Let the advance and same-day tickets be x and y respectively.
x + y = $70 ---> (1)
25x + 35y = $2050 ---> (2)
From Statement (1):
Let (1) × 25
25x + 25y = $1750
10y = $2050 - $1750
= $300
y = $300 ÷ 10
= $30 ---> (3)
From Statement (3):
Substitute (3) into (1)
x + $30 = $70
x = $70 - $30
= $40
Advance ticket: $40
Same-day ticket: $30
