Answer:
8 books
Step-by-step explanation:
Earning for each ticket is $0.25 and for each book is $2
If total earning for 4 tickets and x books is $17, then the equation is:
- 0.25*4 + 2x = 17
- 1 + 2x = 17
- 2x = 16
- x = 16/2
- x = 8
So Molly purchased 8 books
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
d= -6
Step-by-step explanation:
56 = -8d + 8
1) You want to get d by itself. Subtract 8 from both sides.
56 = -8d + 8
- 8 - 8
<em>(8 - 8 = 0, and 56 - 8 is 48.)</em>
48 = -8d
2) Then, you divide my -8 on both sides.
(<em>48 / -8 is -6, and -8d / -8 is just d.)</em>
-6 = d
So, d = -6
Answer:
Step-by-step explanation:
We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number
You can also write ratios 3 different ways:
____ to ____
____ : ____
___/___
