Sue paid $46 for 2 adult and 4 child tickets to a play. karen paid $86 for 4 adult and 7 child tickets to the same play. what is the cost of 1 adult and 1 child ticket?

Step-by-step explanation:

Let a and c represent the costs of adult and child tickets, respectively. Then the two purchases can be described by ...

  2a +4c = 46 . . . . . . Sue's purchase

  4a +7c = 86 . . . . . . Karen's purchase

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The system can be solved by subtracting the second equation from twice the first:

  2(2a +4c) -(4a +7c) = 2(46) -(86)

  c = 6 . . . . . . . simplify

We can substitute this value into half the first equation to find "a".

  a +2(6) = 23

  a = 23 -12 = 11

The cost of 1 adult ticket is $11; the cost of one child ticket is $6.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.