Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3 points or 5 points. if xis
the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation
x+y=24
3x + 5y = 100
what does the solution of this system indicate about the questions on the test?
the test contains 4 three-point questions and 20 five-point questions
the test contains 10 three-point questions and 14 five-point questions
the test contains 14 three-point questions and 10 five-point questions.
the test contains 20 three-point questions and 8 five-point questions.

x+y=24

3x + 5y = 100

Rewrite the first equation: x = 24-y

Replace x in the second equation and solve:

3(24-y) +5y = 100

72-3y +5y = 100

72 +2y = 100

2y = 28

y = 14

Y is the number of 5 point questions, so there are 14 5 point questions.

The answer would be:

The test contains 10 three-point questions and 14 five-point questions.

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is