Answer:

Step-by-step explanation:
Given:
Amy works for a marketing agency and is designing a label for a company's newest product.
The label needs to be a rectangle where the length is 4 times the width.
represents the width.
Question asked:
Which expression represents the area of the label ?
Solution:
Width of the label =
(given)
Then, length of the label will be = <u>4 times the width</u> = 
As label needs to be a rectangular shape and as we know:-


Therefore,
represents the area of the label.
Answer:
A. {x | x < 8}
Step-by-step explanation:
First, we divide both sides by 3.
3(x - 2)/3 < 18/3
Then simplify.
x - 2 < 6
Lastly, add 2 to both sides.
x - 2 + 2 < 6 + 2
<u>x < 8</u>
Answer:
a=2
Step-by-step explanation:
Well, first let us find product of the first 8 positive integers, which is 1*2*3*4*5*6*7*8=40320. It can also be written as 40320=
*3²*5*7. From the formula above, it can be extracted that if a=2, n can be any number from 3 to 7 (considering that a and n are not equal and greater than 1).
In (1) a^n=64 and in (2) n=6 so it can be written as 2^6=64 so a=2 and n=6. So the value of a is 2. a=2
Answer:
(3/5)x+1/4=(3/4)x-2/5
<=> (3/5)x - (3/4)x= -2/5 - 1/4
<=> x(12/20 - 15/20) = -13/20
<=> x(-3/20) = -13/20
<=> x = 13/3
Step-by-step explanation:
Answer:
9 : 3
Step-by-step explanation:
To get from 21 to 3 we divided 21 by 7, therefore we have to do the same to the other side and so we get...
63 / 7 = 9
Therefore 63 : 21 = 9 : 3