Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
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<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
Answer:
To find the horizontal asymptote, we note that the degree of the numerator is one and the degree of the denominator is two. Since the larger degree occurs in the denominator, the graph will have a horizontal asymptote at y = 0 (i.e., the x-axis). The vertical asymptotes will occur at those values of x for which the denominator is equal to zero.
Step-by-step explanation:
Answer:
168 in
Step-by-step explanation:
Pythagoras says:
b² + 56² = 70²
so
b² = 70² - 56²
b = √1764 = 42
so the perimeter is 70+56+42 = 168
Answer:
Explanation:1) Charges are:
Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.
2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)
3) Average cost per ticket = total charges / number of tickets
⇒ [2500 + 17(x - 100) ] / x
4) limit as the number of tickets, x, becomes very high ⇒ x → ∞
⇒

5) And the value of that limit is equal to 17, as shown below:
2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17