Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:
We know that the circumference of the Earth is
Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:
And substituting the values, we find:
So, the runners have gone 20.8 times around the globe all together.
Answer:
16.....................................
- 6⁹*6ⁿ = 6¹²
- 6⁹⁺ⁿ = ¹²
- 9 + n = 12
- n = 3
17.....................................
- 7⁸/7ⁿ = 7³
- 7⁸⁻ⁿ = 7³
- 8 - n = 3
- n = 5
18.....................................
19.....................................
- 1/10⁵ = 10ⁿ
- 10⁻⁵ = 10ⁿ
- -5 = n
- n = -5
20.....................................
- (8²)ⁿ = 8¹²
- 8²ⁿ = 8¹²
- 2n = 12
- n = 6
Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:
Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:
We need to express r as an improper or proper fraction:
Substituting:
n=17
There are 17 terms in the sequence
Answer: The price for the adult tickets is $12 and the price for the child ticket is $5.
Step-by-step explanation:
Let the price for the adult ticket be x
Let the price for the child ticket be y
According to question, On Friday ,
and on next day,
Now, we will use "Substitution Method" to solve the system of equations :
so, we will put the value of x in the first equation i.e.
Now, put the value of y in the equation that is given by
Hence, the price for the adult tickets is $12 and the price for the child ticket is $5.
b) you could choose :
red, black
black, red
red, red
c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17
