The sum of length and width of a rectangle is half the perimeter. Here the sum of length and width is 114/2 = 57 ft.
If we add 12 ft to this total, we have a value that is 3 times the width.
The width of the sign is 69 ft/3 = 23 ft.
The length of the sign is (2·23 -12) = 34 ft.
_____
From the problem statement, using L and W for length and width:
... L = 2W -12
... P = 114 = 2(L +W)
Dividing the second equation by 2 and substituting for L, we have ...
... 57 = (2W -12) +W
... 69 = 3W . . . . . . . . add 12
... 23 = W . . . . . . . . . divide by 3
Answer:
$625
Step-by-step explanation:
K(t)=10t+425
k(20)=10(20)+425
k(20)=200+425
k(20)=625
$625
Hope this helps!
yes, 50 is the correct answer
Answer: 2.70 g/mL
Step-by-step explanation:
Density is g/mL.
Do 40.5 g / 15.0 mL to get 2.70 g/mL.
Answer:
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line
The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)
and
-----> inequality B
The solution of the inequality B is the shaded area above the solid line
The solid line passes through the points (0,5) and (-2,2)
therefore
The solution of the system of inequalities is the shaded area between the dotted line and the solid line
see the attached figure
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)