Your teacher is giving a 44-quesion test worth 100 points. Some questions are worth 2 points and the remaining questions are worth 4 points. How many of each type of question are on the test?

umber of 2 mark questions

=

30

Number of 4 mark questions

=

10

Explanation:

Let x be the number of 2 mark questions

Let y be the number of 4 mark questions

x

+

y

=

44

(1)

2

x

+

4

y

=

100

(2)

Solve equation (1) for y

y

=

44

−

x

Substitute

y

=

44

−

x

in equation (2)

2

x

+

4

(

44

−

x

)

=

100

2

x

+

160

−

4

x

=

100

2

x

−

4

x

=

100

−

160

−

2

x

=

−

60

x

=

−

60

−

2

=

30

Substitute

x

=

30

in equation (1)

30

+

y

=

40

y

=

40

−

30

=

10

Number of 2 mark questions

=

30

Number of 4 mark questions

=

10

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

b). 4320 have a nice day