Atest has twenty questions worth 100 points. the test consists of true/false question worth 3 points each multiple choice questions worth 11 points each. how many multiple choice questions are on the test

the number of True/false questions that the test has is 15

the number of multiple choice questions that the test has is 5

Step-by-step explanation:

Let x represent the number of True/false questions that the test has.

Let y represent the number of multiple choice questions that the test has.

The total number of questions in the test is 20. It means that

x + y = 20

The test consists of True/false question worth 3 points each multiple choice questions worth 11 points each. All the questions are worth 100 points. This means that

3x + 11y = 100 - - - - - - - - - - -1

Substituting x = 20 - y into equation 1, it becomes

3(20 - y) + 11y = 100

60 - 3y + 11y = 100

- 3y + 11y = 100 - 60

8y = 40

y = 40/8 = 5

x = 20 - y = 20 - 5

x = 15

.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204