Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. there are 15 questions on the test, and students are given 51 minutes to take it.
the system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
how many multiple-choice questions are on the test?

There are 12 multiple choice questions.

Step-by-step explanation:

The given equations are :

    .. (1)

  ... (2)

Multiplying (1) by 3 and subtracting from (2)

Equation 1 becomes:

Subtracting this from 2, we get

=>

f=3

And as

Substituting f = 3, we get

So,

Hence, there are 12 multiple choice questions.

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110

step-by-step explanation:

its payment history because your score is mainly based on how consistent u are with your payment and if there on time. hope this : )