Answer:
The maximum number of pounds of potato salad that Charlie can buy is 0.375
Step-by-step explanation:
see the attached figure to better understand the problem
Let
a ----> the cost of one tuna sandwich
b ----> the cost of a bottle of apple juice
c ----> the cost per pound of potato salad
x ----> pounds of potato salad
we have



we know that
He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8
The inequality that represent this situation is

substitute the given values

Solve for x
Combine like terms

Subtract 6.50 both sides


Divide by 4 both sides


therefore
The maximum number of pounds of potato salad that Charlie can buy is 0.375
13 times 4 is 52
9 times 4 is 36 plus the 20 it takes for reservation
So the maximum amount would be 4
Answer:
a = 5 and b = 12
Step-by-step explanation:
<u>Step 1: Find angle B</u>
<em>Angle C = 90°</em>
<em>Angle A = 22.6°</em>
<em>Angle B = B</em>
<em>All angles in a triangle are equal to 180°.</em>
Angle A + Angle B + Angle C = 180°
22.6 + 90 + B = 180°
B = 180 - 112.6
B = 67.4°
<u>Step 2: Find the value of side AC 'b'</u>
<em>Hypotenuse = 13</em>
<em>Adjacent = b</em>
<em>Angle A = 22.6°</em>
Cos (Angle) = Adjacent/Hypotenuse
Cos (22.6) = b/13
b = 12
<u>Step 3: Find the value of side CB 'a'</u>
<em>Hypotenuse = 13</em>
<em>Opposite = a</em>
<em>Angle A = 22.6°</em>
Sin (angle) = Opposite/Hypotenuse
Sin (22.6°) = a/13
a = 4.99 rounded off to 5
Therefore, the value of a=5 and b=12.
!!
Owen: 5x + 6y = $28.75
kayden; 4x + 3y= $16.25
that’s all i know, sorry