Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Given in the scenario:
a.) Marjorie bought 24 bottles of juice.
b.) Each day she opens and drinks 2 of these bottles of juice.
The inequality that represents the greatest number of days she can continue before she has to replenish her stock is:

Marjorie has to replenish her stock when it is lesse
<span>3x + 2y = 6
</span><span>4x + y = 1
</span>
Solve the second equation for y:
y = -4x + 1
Substitute -4x + 1 for y in the first equation.
3x + 2(-4x + 1) = 6
3x - 8x + 2 = 6
-5x = 4
x = -4/5
Now substitute x with -4/5 in the first original equation.
3x + 2y = 6
3 * (-4/5) + 2y = 6
-12/5 + 2y = 6
-12 + 10y = 30
10y = 42
y = 42/10
y = 21/5
Solution: (-4/5, 21/5)
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