Answer:
1=28 students 2=14students 3=40%
Step-by-step explanation:
<u>1.</u> 70 students = 100%
7 students = 10%
28 students = 40%
28 students are sixth graders!
<u>2.</u>70 students = 100%
7 students = 10%
14 students = 20%
14 students are seventh graders!
<u>3</u>.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%
40% are eighth graders!
Answer:
a 72
Step-by-step explanation:
9x10=90, so in total he has 90 pencils. if he loses 18 of them that's 90-18 which is 72.
Answer: ![\Large\boxed{8x^4-5x^2y^2-6y^4}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B8x%5E4-5x%5E2y%5E2-6y%5E4%7D)
Step-by-step explanation:
<u>Given expression</u>
(2x⁴ - 8x²y² - y⁴) - (-6x⁴ - 3x²y² + 5y⁴)
<u>Expand the parenthesis</u>
2x⁴ - 8x²y² - y⁴ + 6x⁴ + 3x²y² - 5y⁴
<u>Move like terms together</u>
2x⁴ + 6x⁴ - y⁴ - 5y⁴ - 8x²y² + 3x²y²
<u />
<u>Combine like terms</u>
![\Large\boxed{8x^4-5x^2y^2-6y^4}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B8x%5E4-5x%5E2y%5E2-6y%5E4%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = 10°
Step-by-step explanation:
If the two lines are parallel then the two marked angles will be equal.
8x = 2x + 60
Subtract 2x to combine like terms.
6x = 60
Divide by 6.
x = 10
Answer:
see below
Step-by-step explanation:
There are some subtleties here.
<u>Drawing conclusions</u>
When conclusions are drawn based on patterns, it is called <em>inductive</em> reasoning. When those conclusions are drawn based on facts, it is called <em>deductive</em> reasoning.
<u>Theories and proofs</u>
When a pattern is observed, it gives rise to a <em>conjecture</em>. If there is a <em>counterexample</em>, then the conjecture must be declared false. If an argument can be made based on logic, then the conjecture is said to have a <em>proof</em>. A proven conjecture (statement) can then be referred to as a <em>theorem</em>.