Adult= A
Children= C
First equation:
A+C= 11
A= 11-C
Second equation:
228 total price includes 22dollar x adult and 15dollar x children ticket price. Write the equation:
228= 22A+15C (substitute above value for adult)
228= 22(11-C) + 15C
228= 242-22C+15C
228 - 242 = 7C
14 = 7C
C= 2 (there are 2 children in the group)
Find adult number, using 11= A+C equation,
11= A+2
A= 9
Check: (9x22) + (2x15) = 228
198 + 30 = 228
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Total area = 12 + 18 = 30cm²
Answer:
the answer to this problem is (C)
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only.
Notice that 6 and 8 have a common factor 2, so pick up the 2;
6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15
this is basically how it is done. I believe you can explain better in your own words.
When the ball reaches the ground, its height is 0.
We set the height function equal to zero and solve for t, the time.
h = -16t^2 + 250
-16t^2 + 250 = 0
16t^2 - 250 = 0
or
or
or
We discard the negative solution since time must be positive.
The positive solution is
Answer: 4.0 seconds