Answer:
x=-24 & x=4.
Step-by-step explanation:
-5/6x=20
x=20/(-5/6)
x=(20/1)(-6/5)=-120/5=-24
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2/3(x-7)=-2
2/3x-14/3=-2
2/3x=-2+14/3
2/3x=-6/3+14/3
2/3x=8/3
x=(8/3)/(2/3)
x=(8/3)(3/2)=8/2=4
Answer:
143/210
Step-by-step explanation:
1/30+2/7=67/210
We subtract that answer from 1, we get 143/210.
Answer: $617.50
Step-by-step explanation:
9.5% of 6500 = 9.5*6500/100=9.5*65=617.5
So the interest is $617.5 or $617.50
Hope this helped. If you have any questions or clarifications please ask.
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If two chords of a circle are congruent, then their intercepted arcs are congruent ⇒ <span>CO≅HZ</span>
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
