Margaret wants to score at least 74 points on her upcoming test. Fill in the blank questions, x, are worth 3 points each while multiple choice questions, y, are worth 1 point each. Use the graph below to identify one possible solution.

Hello.

Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

Since the multiple choice problems are worth 2 points and the essay questions are worth 6 points and the total number of points possible is 100, then:

2M + 6N = 100

Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Now substitute M = 36 - N into the 1st equation above.

2(36 - N) + 6N = 100

72 - 2N + 6N = 100

4N = 100 - 72

4N = 28

N = 7

Now, since M = 36 - N, we can find that

M = 36 - 7 = 29

So the number of multiple choice problems is 29 and the number of essay questions is 7.

Now, check your

2(29) + 6(7) = 58 + 42 = 100

The answer is correct.

For part b:

If the multiple choice problems are worth 4 points each and there are 29 multiple choice problems, then there would be 116 total points so it would not be possible.

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Step-by-step explanation:

the answer is c

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.