Answer:
The correct answer is: C
Step-by-step explanation:
2(4x - 5) < 14x + 8
First multiply 2 by 4x and -5
8x - 10 < 14x + 8
Now find out what x is
Move 14x to the left
8x - 14x - 10 = 8
Then move 10 to the right and change it's sign to plus
8x - 14x = 8 + 10
Now combine like terms
-6x = 18
Now divide 18 by 6 to get x
x = 18/-6
x = -3
Answer:
40
Step-by-step explanation:
(2x+1/(2x))^5 *(2x -1/(2x))^5
= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2
= (4x^2-1/4(x)^2)^5
now
x =4x^2. ,a = 1/4(x)^2 ,n =5
we have
general term = Cr *x^r *a^(n-r)
= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)
= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)
= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)
= Cr * 4(2r-n) *x(4r-2n)
now for x^2
4r-2n = 2
4r -10=2
4r =12
r = 3
now for coeff
C(5,3) * 4^(2*3-5)
5!/(3!*(5-3)!) * 4
5*4/(2*1)*4
40
Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Do you remember when you were learning about
Least Common Multiple (LCM) ? And you were
wondering what on Earth you would ever need it for ?
THIS IS IT !
The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?
... When 20 is prime-factored, you have 2 · 2 · 5 .
... When 30 is prime-factored, you have 2 · 3 · 5 .
... So the Least Common Multiple of 20 and 30 is 2 · 2 · 3 · 5 = 60 .
The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be 8:01 PM.
