A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions thatare worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of questionare there?

Spelling word questions = 10

vocabulary word questions = 16

Step-by-step explanation:

Let

Spelling word questions = x

vocabulary word questions = y

Total points = 100

Total questions = 26

x + y = 26 (1)

2x + 5y = 100 (2)

From (1)

x = 26 - y

Substitute x = 26 - y into

2x + 5y = 100

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

- 2y + 5y = 100 - 52

3y = 48

y = 48 / 3

= 16

y = 16

Substitute y = 16 into

x + y = 26

x + 16 = 26

x = 26 - 16

= 10

x = 10

Spelling word questions = 10

vocabulary word questions = 16

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.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.