Answer: The equation is given by: 9- 1/3x = 7
Step-by-step explanation:
Let the number be denoted by x.
Now, we are given a word phrase as follows one-third of a number less than nine is equal to seven.
Now this word phrase could be mathematically expressed as a equation by: one third of x is 1/3 x
And this number less than 9 is given by :
9- 1/3x
Now, this number is equal to 7.
I.e. we finally have:
9- 1/3x = 7
A biased example: Asking students who are in line to buy lunch
An unbiased example: Asking students who are leaving/going to lunch(<em>NOT buying </em><em>lunch</em><em />).
But in this case, the answer choices can be... confusing.
Don't panic! You're given numbers and, of course, your use of logic.
Answer choice A: 100 students grades 6-8
Answer choice B: 20-30 students any <em>one</em> grade<em></em><em>
</em>Answer choice C: 5 students
<em></em>Answer choice D: 50 students grade 8
An unbiased example would be to choose students from <em>any grade.</em> So we can eliminate choices B and D.
Now, the question wants to <em>estimate how many people at your middle school buy lunch.</em> This includes the whole entire school, and if you are going to be asking people, you aren't just going to assume that if 5 people out of 5 people you asked bought lunch, the whole school buys lunch.
So, to eliminate all bias and/or error by prediction, answer choice A, the most number of students, is your answer.
Answer:
6.32
Step-by-step explanation:
To find the side length on a right angled triangle we follow The Pythagorean Theorem:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D)
c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)
so..
![{6}^{2} + {2}^{2} = {x}^{2} \\ 36 + 4 = {x}^{2} \\ 40 = {x}^{2} \\ \sqrt{40} = \sqrt{ {x}^{2} } \\](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B2%7D%20%20%2B%20%20%20%7B2%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%2036%20%2B%204%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%2040%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%5C%5C%20%20%5Csqrt%7B40%7D%20%20%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20)
![6.32 = x](https://tex.z-dn.net/?f=6.32%20%3D%20x)
Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.
Answer:
the answer is 7
Step-by-step explanation:
Add the same term to both sides of the equation
-x=7x-56
−x=7x−56
−x−7x=7x−56−7x