Answer:
Step-by-step explanation:
Let c represent the number of children that attended the concert.
Let a represent the number of adults that attended the concert.
At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is
c = 4a + 10
Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that
5c + 8a = 1730
Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is
c = 4a + 10
5c + 8a = 1730
<h3><u>
Answer:</u></h3>
33480783
<h2><u>
Step-by-step explanation:</u></h2>
<u>Finding the Common Ratio:</u>
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>
<em>replacing the values, taking n=2</em>
r = -21 / 7
r = -3
<u>Solving for the 15th Term:</u>
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>
<em>replacing the values (taking n = 15 since we need the 15th term)</em>
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by <span>33</span> gives the next term. In other words, <span><span><span>an</span>=<span>a1</span>⋅<span>r<span>n−1</span></span></span><span><span>an</span>=<span>a1</span>⋅<span>r<span>n-1</span></span></span></span><span>.</span>
Hey there! :D
So, basically, you could say that "x" is equal to both of the legs.
We also know that in 45-45-90 triangles, x*√2= the hypotenuse
Given this information, if we were to divide 10 by the √2, we would get:
10/√2= 7.071.....
5√2= 7.071....
5√2 is the answer.
I hope this helps!
~kaikers
Answer:
the value of the variable x is 16
Step-by-step explanation:
