Mathematics, 28.01.2020 14:09 Werkrat2756

100 point test consist of two point questions and five point questions. there are a total of 44 questions on the test. how many questions of each type of test?

Answers: 2

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Answer from: jrcspiderman2003

100 = 2x + 5y

44 = x + y

We can use elimination to solve this.

Multiply all terms in 2nd equation by 2.

88 = 2x + 2y

Subtract equation 2 from equation 1.

(100 = 2x + 5y) - (88 = 2x + 2y)

12 = 3y

Divide both sides by 3.

y = 4

The value of y is equal to 4, and so we can solve for the value of x.

44 = x + y

44 = x + 4

Subtract 4 from both sides.

40 = x

The value of x is equal to 40.

We can plug in the values to make sure our answer is correct.

100 = 2(40) + 5(4)

100 = 80 + 20

100 = 100 √ this is correct

44 = x + y

44 = 40 + 4

44 = 44 √ this is correct

And so, there are 40 two point questions, and 4 five point questions.

Answer from: cody1097

100 = 2x + 5y

44 = x + y

We can use elimination to solve this.

Multiply all terms in 2nd equation by 2.

88 = 2x + 2y

Subtract equation 2 from equation 1.

(100 = 2x + 5y) - (88 = 2x + 2y)

12 = 3y

Divide both sides by 3.

y = 4

The value of y is equal to 4, and so we can solve for the value of x.

44 = x + y

44 = x + 4

Subtract 4 from both sides.

40 = x

The value of x is equal to 40.

We can plug in the values to make sure our answer is correct.

100 = 2(40) + 5(4)

100 = 80 + 20

100 = 100 √ this is correct

44 = x + y

44 = 40 + 4

44 = 44 √ this is correct

And so, there are 40 two point questions, and 4 five point questions.

Step-by-step explanation:

Answer from: Quest

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

$\newline{\text{the rate of change is change per unit time}}$ $\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}$ $\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}$ $\newline{\text{that means that the slope of function 1 is 30 per hour}}$ $\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}$ $\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}$ $\bigskip\newline{\text{the y intercept is the y value when x is 0}}$ $\newline{\text{for function 1, the y value when x is 0 is 45}}$ $\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}$ $\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}$ $\bigskip\bigskip\newline{\text{the answers are: }}$ $\newline{\text{ function 2 has a greater rate of change than function 1}}$ $\newline{\text{function 2 has a greater y-intercept than function 1.}}$

Answer from: Quest

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )

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