A child bus ticket costs $0.40 and an adult’s ticket costs $0.70. A group of 11 individuals pays $5.90 for their fare.
1 answer:
Let
A------------> <span>number of children
B------------> </span><span>number of adults
we know that
0.40A+0.70B=5.90--------------------------> equation 1
A+B=11------------> A=11-B----------------> equation 2
using a graph tool------------> to resolve the equations system
see the attached figure
the solution is
A=6
B=5
the answer is
A is bigger</span>
A------------> <span>number of children
B------------> </span><span>number of adults
we know that
0.40A+0.70B=5.90--------------------------> equation 1
A+B=11------------> A=11-B----------------> equation 2
using a graph tool------------> to resolve the equations system
see the attached figure
the solution is
A=6
B=5
the answer is
A is bigger</span>
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√4
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(x+2) = 2
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x = 2 - 2 or x = -2 - 2
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Equation
------------------------------------------------------------------
x² + 4x = 0
------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)² = 0 ← Add 2² to form perfect square
------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0
------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4
------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) =
------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) =
------------------------------------------------------------------
Solve x
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2
x = 0 or -4
------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------