A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
-----------------------------
8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
The answer is: " 95 km " .
__________________________________________________
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 .
____________________________________________________
<span>
The answer is: " 95 km <span>" .
</span>____________________________________________________
</span>
Your friend's distance from her starting point to your position is decreasing until she passes by you. This distance is D(t) = 100 ft - (20 ft / sec)t. We'll assume that your friend doesn't actually pass by you; she just gets closer and closer, from her initial 100 ft distance from you. Then:
D(t) = 40 ft = 100 ft - (20 ft / sec)t. Simplifying, we get:
-60 ft = -(20 ft / sec)t, and thus t = 3 sec.
Answer:
A parallelogram because the figure described has exactly two pairs of parallel sides.
Step-by-step explanation:
A trapezoid only has one pair of parallel sides so it can't be that and it can't be a parallelogram with exactly one pair of parallel sides because they have two pairs.
Answer:
Step-by-step explanation:
