Answer:
57 cm²
Step-by-step explanation
<em>l = length</em>
<em>w = width</em>
<em>p = perimeter</em>
<em />
<em>(5x - 1) = length</em>
<em>(11 - 2x) = width</em>
<em>44 = perimeter</em>
<em />
<em>Formula for the perimeter of a rectangle:</em>
<em>l + l + w + w</em>
<em>2l + 2w = p</em>
<em />
<em>Substitute the variables for the length and width with the values given to you by the problem, then solve.</em>
<em></em>
<em>2(5x - 1) + 2(11 - 2x) = 44</em>
<em>(10x - 2) + (22 - 4x) = 44 (Distributive property)</em>
6x + 20 = 44
6x = 24
x = 4
<em>Plug x = 4 back into the length and width.</em>
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
<em>Area for a rectangle: Length × Width = Area.</em>
<em>19 × 3 = 57 cm²</em>
<em>This is all in cm so answer with cm²</em>
Answer:
1.) 12 hours 2.) She made a multiplying error in the table.
Step-by-step explanation:
1.)
First, let's find the slope of this equation:
m = 135 - 81 / 5 - 3
m = 54/2
m = 27
Therefore, the equation should be y = 27x.
Now we substitute 324 for y and solve for x:
324 = 27x
12 = x (Divided 27 on both sides.)
Therefore, someone would have to work 12 hours in order to earn $324.
2.)
For this problem, it appears Amanda has found the correct equation for her recipe. When taking a look at the table, however, it seems as though she has made a multiplying error.
Step-by-step explanation:
a) f(4) = 7-2(4)
= -1
b) f(h) = 7-2(h)
= 7-2h
c) f(4) + f(h) = -1 +(7-2h)
= 6-2h
h = 3
d) f(3+h) = 7-2(3+h)
= 7-6-2h
= -1-2h
2h= -1
h = -1/2
p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.
-(2.71) goes with 2.71
2.71 goes with -2.71
-(-2.71) goes with 2.71
I can’t do these right off hand but look them up on google and google will tell you exactly how to do and if you type in the problem it will explain how to the the problem as well , I hope you understand and this helped you.
