in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in the test, (i) how many questions did she answer correctly out of the first 40 questions? (ii) how many questions should she answer correctly out of the 90 questions? (iii) what percentage of the remaining 50 questions should she answer correctly in order to get the 80%?

total question =90

she obtained 75% of first 40 questions

2. in order to get 80% out of 90,

the no. of questions got correct by Ama = 80% * 90 = 72

3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42

percentage = 42/50*100% = 84%

i can answer this question sweetie!

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form