Three types of shirts sold at a store cost $9,$11, and $12.50. one day the store sells a total of 23 shirts and makes $243 in sales. twice as many shirts were sold for $12.50 than were sold for $11. write a system of equations to represent this situation.

The System of equations which represents the situations are;

Step-by-step explanation:

Let the shirt sold at cost $9 be x.

Let the shirt sold at cost $11 be y.

Let the shirt sold at cost $12.50 be z.

Given:

Twice as many shirts were sold for $12.50 than were sold for $11.

Hence it means that shirt sold at at cost $12.50 were 2 times more than shirt sold at cost $11.

Hence framing in equation we get;

Now Given:

Total Shirts sold = 23

But Total Shirts sold is sum of number of shirt sold at cost $9 and number of shirt sold at cost $11 and number of shirt sold at cost $12.50.

Hence framing in equation we get;

Also Given:

Total Money made by store = $243

But Total Money made by store is sum of number of shirt sold at cost $9 Multiplied by 9 and number of shirt sold at cost $11 multiplied by 11 and number of shirt sold at cost $12.50 multiplied by 12.50.

Framing in equation form we get;

Hence the System of equations which represents the situations are;

To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:

Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. .
So 0.000000016 expressed in scientific notation is 1.6x, or in calculator notation 1.6E-8

We can conclude that the correct answers are 1.6E-8 and 1.6 × 10-8