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olchik [2.2K]
3 years ago
15

Find the common difference of the arithmetic sequence 5, 14, 23, ...

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0
It’s plus 9 so the next number should be 32
stepladder [879]3 years ago
6 0

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.

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A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is
Maurinko [17]
Set up your two equations: 
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>
6 0
3 years ago
Consider this sequence: -81, -54, -36, -24, … .
N76 [4]
If it is geometric then
if the terms are a,b,c,d then
b/a=c/b=d/c
so
-54/-81=-36/-54=-24/-36?
2/3=2/3=2/3

and that is the common ratio

it is geomertic and common ratio is 2/3
7 0
3 years ago
Math question down below
kramer
X + 4/5 = 11
x = 11 - 4/5
x = 55/5 - 4/5
x = 51/5 or 10 1/5

or u can do it this way..
x + 4/5 = 11.....multiply everything by common denominator of 5
5x + 4 = 55
5x = 55 - 4
5x = 51
x = 51/5 or 10 1/5
7 0
3 years ago
Which of these describes an angle?
stealth61 [152]
A part of a line that connects two endpoints I believe
7 0
2 years ago
Please help for another 10 points :))​
Nadya [2.5K]

Answer:

(-3, 3)

Step-by-step explanation:

You need to find the median of the x value, and then the median of the y value, and that's your point. Good luck. I never liked graphing.

7 0
3 years ago
Read 2 more answers
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