A1 or just a as it is in the equations is just the initial term of the sequence. In this case a1=1
r is the common ratio which is that constant ratio found by dividing any term by the term preceding it...
In this case r=3/1=9/3=27/9=etc=3
So a1=1 and r=3, C. is your answer.
Answer: the number must be placed in the box is 9
suppose: the number must be placed in the box is x
have:
5u + 3(4u - 6) = -3u -27 + 20u + x
⇔ 5u + 12u - 18 = -3u - 27 + 20u +x
⇔ 17u + 3u - 20u = -27 + 18 + x
⇔ 0 = x - 9
⇔ x = 9
Step-by-step explanation:
The area of the kite is 2.25 square feet
<h3>How to determine the area of the kite?</h3>
The area of the kite is calculated using:
Area = 0.5 * pq
Where p and q are the diagonals of the kite.
In this figure,
p = 3
q = 0.75 * 2 = 1.5
So, we have:
Area = 0.5 * 3 * 1.5
Evaluate
Area = 2.25
Hence, the area of the kite is 2.25
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Answer:
- reflection about the x-axis
- translation down 2 units
- translation right 3 units
Step-by-step explanation:
<h3>
Answer:</h3>
System
Solution
- p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>
Step-by-step explanation:</h3>
(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.
For the total amount of mix:
... p + m = 10
For the quantity of peanuts in the mix:
... p + 0.2m = 0.6·10
For the quantity of almonds in the mix:
... 0.8m = 0.4·10
For the ratio of peanuts to almonds:
... (p +0.2m)/(0.8m) = 0.60/0.40
Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.
So, your system of equations could be ...
___
(b) Dividing the second equation by 0.8 gives
... m = 5
Using the first equation to find p, we have ...
... p + 5 = 10
... p = 5
5 lb of peanuts and 5 lb of mixture are required.
