Answer: ![46x^2+73x+15](https://tex.z-dn.net/?f=46x%5E2%2B73x%2B15)
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are
by
, its area is:
![A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35](https://tex.z-dn.net/?f=A_w%3D%286x%2B7%29%288x%2B5%29%5C%5C%5C%5CA_w%3D48x%5E2%2B30x%2B56x%2B35%5C%5C%5C%5CA_w%3D48x%5E2%2B86x%2B35)
As they are planning that the dimensions of the mural be
by
, its area is:
![A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20](https://tex.z-dn.net/?f=A_m%3D%28x%2B4%29%282x%2B5%29%5C%5C%5C%5CA_m%3D2x%5E2%2B5x%2B8x%2B20%5C%5C%5C%5CA_m%3D2x%5E2%2B13x%2B20)
Then the area of the remaining wall after the mural has been painted is:
![A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15](https://tex.z-dn.net/?f=A_%7B%28remaining%29%7D%3DA_w-A_m%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D48x%5E2%2B86x%2B35-%282x%5E2%2B13x%2B20%29%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D48x%5E2%2B86x%2B35-2x%5E2-13x-20%5C%5C%5C%5CA_%7B%28remaining%29%7D%3D46x%5E2%2B73x%2B15)
Answer:
KANAS CITY CHIEFS ARE THE BEST FRICK TOM BRADY HE IS OLD HE IS 43 YEARS OLD LIKE DUDE STOP UR TO OLD FRICK THE TAMPA BAY BUCS
Step-by-step explanation:
Answer:
.625 for decimal, and 62.5 percent.
Step-by-step explanation:
1/8 is 1.25 and that times 5 is .625. .625 * 100 = 62.5
Please give me brainliest
I would say it’s B because out of ten it makes the mean 1 point higher
Answer:
(a) Equations for both
--- lifeguard
--- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
![x \to hours](https://tex.z-dn.net/?f=x%20%5Cto%20hours)
![y \to total\ pay](https://tex.z-dn.net/?f=y%20%5Cto%20total%5C%20pay)
Given
Lifeguard job
![Signing\ bonus = \$500](https://tex.z-dn.net/?f=Signing%5C%20bonus%20%3D%20%5C%24500)
![Rate = \$12/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5C%2412%2Fhr)
Camp counselor job
![Signing\ bonus =\$0](https://tex.z-dn.net/?f=Signing%5C%20bonus%20%3D%5C%240)
![Rate = \$15/hr](https://tex.z-dn.net/?f=Rate%20%3D%20%5C%2415%2Fhr)
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
![y = 500 + 12*x](https://tex.z-dn.net/?f=y%20%3D%20500%20%2B%2012%2Ax)
![y = 500 + 12x](https://tex.z-dn.net/?f=y%20%3D%20500%20%2B%2012x)
Camp counselor
![y = 0 + 15 * x](https://tex.z-dn.net/?f=y%20%3D%200%20%2B%2015%20%2A%20x)
![y = 15x](https://tex.z-dn.net/?f=y%20%3D%2015x)
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
![x = 5hrs/day * 5days](https://tex.z-dn.net/?f=x%20%3D%205hrs%2Fday%20%2A%205days)
![x = 25hrs](https://tex.z-dn.net/?f=x%20%3D%2025hrs)
So, the pay for each is:
![y = 500 + 12x](https://tex.z-dn.net/?f=y%20%3D%20500%20%2B%2012x)
![y =500 + 12*25](https://tex.z-dn.net/?f=y%20%3D500%20%2B%2012%2A25)
--- Lifeguard
![y = 15x](https://tex.z-dn.net/?f=y%20%3D%2015x)
![y = 15 * 25](https://tex.z-dn.net/?f=y%20%3D%2015%20%2A%2025)
--- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
![800 > 375](https://tex.z-dn.net/?f=800%20%3E%20375)
<em>Hence, lifeguard job pays more</em>