Answer:
$495
Step-by-step explanation:
After the 5% raise, her weekly pay was ...
$550 × 1.05 = $577.50
If she works 35 hours for that pay, her hourly rate is
$577.50/35 = $16.50
Then, working 30 hours, her weekly pay will be ...
30 × $16.50 = $495.00
Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have

We can expression one variable in terms of the others as

Since the area is the product of the dimensions, we have

This is a parabola facing down, so it's vertex is the maximum:

So, the maximum is

And since we know that
, we have
as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
Answer:
<h2><em>
B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>
2(b)+2(3c)</em></h2>
Step-by-step explanation:
Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;
Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.
= 2(b+3c)
= 2(b)+ 2(3c)
= 2b +2*3*c
= 2b +6c
It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.
<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>
I believe the correct answer is D. 8x+8;
Because Frank has X and Chris has 8 + 7x (7 times Frank's number) and adding Frank's number (x) to 8 + 7x makes it 8 + 8x.
Hope I could help!