The answer is: " 95 km " .
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Explanation:
__________________________________________________
("airport")
• {Step 1): " 25 km east " •<span>
</span>│===============================> <span>│
</span>• {Step 2): " 40 km west ["of that point"] " ; • │<==========================================│<span>
</span>• {Step 3: [back to airport] = " (40 km − 25 km) " ;
• ("airport").
│=======>│
<span> _________________________________________________
<u> Note</u>: To find "total distance traveled:
" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ;
= </span>" 40 km + (40 km) + (15 km) " ;
= " 40 km + 40 km + (15 km) " ;
= 80 km + 15 km ;
= 95 km .
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<span>
The answer is: " 95 km <span>" .
</span>____________________________________________________
</span>
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Step-by-step explanation:
1 Expand by distributing terms.
rx+r×2
2 Regroup terms.
rx+2r
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by 
, where 
is the base length and 
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by 
, where 
and 
are bases of the trapezoid, 
is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is 
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
