O go to a movie a family with 2 adult and 4 children send $64.00.A family containing 1 adult and 3 children spend $42.00.Find the cost of an adult movie and the cost of a child movie.

The answer to your question is  adult = $12, children = $10

Step-by-step explanation:

Data

Family 1                                          Family 2

2 adult + 4 children = $64            1 adult + 3 children = $42

adult cost = a = ?

children cost = c = ?

Process

1.- Write two equations to solve this problem

    2a + 4c = 64               Equation l

       a  + 3c = 42               Equation ll

2.- Solve the system of equation by elimination

-Multiply equation ll by -2

    2a + 4c = 64

  -2a  -  6c = -84

     0   - 2c = -20

               c = -20/-2

               c = 10

3.- Substitute c in equation ll to find a

       a + 3(10) = 42

       a + 30 = 42

       a = 42 - 30

       a = 12

4.- Conclusion

the cost for adult is $12 and the cost for adults is $10

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.