Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
To get the square root of 29, we can simply use a
calculator.
So the square root of 29 using the calculator is:
sqrt (29) = 5.3852
<span> So we can say that
5.7145 is greater than the square root of 29.</span>
<span>The difference is 5.7145 – 5.3852 = 0.3293</span>
Answer:
π = 198/63
Divide the distance traveled by the wheel to guess the value or estimate the value of π.
Step-by-step explanation:
Height of the wheel: Diameter of the circle
Perimeter of the circle = π*diameter of the circle
Divide the diameter of the circle by the perimeter of the circle.
π = 198/63
<em><u>Hope this helps.</u></em>
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
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