The answer would be $1.75 (Rounded off to the nearest cent).
Substitute the given cost of each pint of fruit to the equation. Transpose and simplify, to get the price of a pint of veggies.
Given: <span>5v + 7f = 28.70; f = $2.85
Solution: </span><span>5v + 7(2.85) = 28.70
</span><span>5v + 19.95 = 28.70
5v = 8.75
v = 1.75</span>
Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
Using a graphing tool
Let's graph each of the cases to determine the solution of the problem
<u>case A)</u>
see the attached figure N 
The range is the interval--------> (0,∞)

therefore
the function
is not the solution
<u>case B)</u> 
see the attached figure N
The range is the interval--------> (0,∞)

therefore
the function
is not the solution
<u>case C)</u>
see the attached figure N
The range is the interval--------> (-∞,3)

therefore
the function
is the solution
<u>case D)</u>
see the attached figure N
The range is the interval--------> (-3,∞)

therefore
the function
is not the solution
<u>the answer is</u>
(1/3)t = (2/3)c, where "t" is for teapot and "c" is for the container.
Multiply both sides by (3/2) in order to get 1 on the right-hand side.
(3/2)(1/3)t = (3/2)(2/3)C
simplify the equation to get the answer which is:
(1/2) teacup = 1 full container.
Hope this helps :)
Answer:
x=15
Step-by-step explanation:
subtract 1 from both sides so you are left with 2x=5x-45
then subtract 5x from both sides and you have -3x=-45
then finally divide -3 from -45 to get x=15