Please help mee :( A test has twenty questions and is worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. Answer the following questions below.

1. Write a system of equations that represents this situation.
2. How many multiple choice questions are on the test? Show ALL WORK

We need to see the information to help

Step-by-step explanation:

Let T represent the number of True/False questions and let M represent the number of Multiple

Choice questions.

.

Since the total number of questions is 20 we know that the number of True/False questions

plus the number of Multiple Choice questions is equal to 20. In equation form this is:

.

T + M = 20 <=== remember this. It is equation 1.

.

Since True/False questions are worth 3 points, the number of points you could score on

these questions is T times 3 points or 3*T. And since the Multiple Choice questions

are worth 11 points each, the number of points you could score on these questions is M times

11 points or 11*M. Now if we add up the total number of points possible, the result is

100 points. In equation form this becomes:

.

3T + 11M = 100 <=== this is equation 2

.

Now let's return to equation 1 and subtract M from both sides. When we do this subtraction

the +M disappears from the left side and the equation becomes:

.

T = 20 - M

.

Then we can go to equation 2 and for T in that equation we can substitute 20 - M . This

substitution makes the second equation become:

.

3(20 - M) + 11M = 100

.

Do the distributed multiplication on the left side by multiplying 3 times each of the

terms in the parentheses to get:

.

60 - 3M + 11M = 100

.

Get rid of the 60 on the left side by subtracting 60 from both sides. This results in:

.

-3M + 11M = 40

.

Then combine the two terms on the left side by combining -3M and + 11M to get +8M and

this reduces the equation to:

.

8M = 40

.

Solve for M by dividing both sides of this equation by 8 ... the multiplier of M to get:

.

M = 40/8 = 5

Step-by-step explanation:

which expression represents the approximate length of bc?

step-by-step explanation: