Answer:
<h3>The 7th term is
1458</h3>
Step-by-step explanation:
For a geometric sequence
U(n) = ar^n - 1
Where
n is the number of terms
r is the common ratio
a is the first term
From the sequence
a = 2
r = - 6 /2 = -3
U(n) = 2(-3) ^ n - 1
For the 7th term
U(7) = 2(-3) ^ 7 - 1
= 2(-3)^6
The final answer is
= 1458
Hope this helps you
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute both parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= - 4x + 7y
= 7y - 4x
Answer: the charge would be the same after 5 miles
Step-by-step explanation:
Let x represent the distance at which both companies charge the same amount.
company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be
4 + 2x
Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.
For the charge to be the same, the number of miles would be
2.8x = 4 + 2x
2.8x - 2x = 4
0.8x = 4
x = 4/0.8
x = 5
Let's start by assuming Armando's house is between Joey's and the park.
Let

be the distance Joey walked to Armando's house.
<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.
</span>


That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)
Let

be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

Let's get rid of the plus/minuses. Squaring,



For us, that's a quadratic equation for


I'll skip right to the solutions,


We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.
Answer:
The key chain's are 0.75 each
Step-by-step explanation: