Step-by-step explanation:
The first step is wrong. It claims that

but it is not true. It is attempting to simplify the fraction by cancelling the x^3 terms from 9x^3 and 2x^3.
However, to perform this operation, all terms in the fraction must be divided by x^3. But this will mean

Answer:
x = 40
Step-by-step explanation:
x/10 = 4
Multiply each side by 10 to isolate x
x/10 *10 = 4*10
x = 40
Take 478 and divide it by 18 and you will get 26.56 now round up to 27 and that is your answer.
n = necklace
b = bracelet
n +b =120
n = 120-b
3.50n + 2.50b = 330
11n + 5b = 880
3.5(120-b) +2.5b=330
420-3.5b + 2.5b = 330
420 -b = 330
-b = -90
B =90
N = 30
3.5*30= 105
2.5*90 = 225
225 +105 = 330
11*30 = 330
90*5 = 450
450 +330 = 780
90 bracelets and 30 necklaces
Question:
A lighthouse is located on an island 3 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 9 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 52 miles from that point
Answer:
The beam of light moves at
miles/min
Step-by-step explanation:
This question is illustrated with the attached image
Taking the instructions in the question, one at a time.
A revolution of 9 per minute implies that:


Take tan of the angle in the attachment:

Differentiate both sides with respect to time

Rewrite as:

In calculus:
-- Chain rule
So:

In trigonometry:

So:

Recall that:






Recall that: 


Multiply both sides by 3



miles/min
Hence:
The beam of light moves at
miles/min