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. how many multiple-choice questions are on the test?

There are 12 multiple choice

Step-by-step explanation:

Let m = multiple choice

f = free response

f+m = 15 since there are 15 questions

3m+5f = 51  since we have 51 minutes and 3 for multiple choice and 5 for free response

We have 2 equations and 2 unknowns

m+f = 15

3m+5f = 51

Multiply the first equation by -3

-3(m+f) = -3*15

-3m -3f = -45

Add this to the second equation

-3m-3f = -45

3m+5f = 51

        2f = 6

Divide by 2

2f/2 = 6/2

f = 3

There are 3 free response.

m+f = 15

m+3 = 15

Subtract 3 from each side

m+3-3=15-3

m=12

There are 12 multiple choice

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this