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Ira Lisetskai [31]
3 years ago
13

Marco has a jug with 3 7/2 ounces of juice. he wants to use some small cups to pass out samples of the juice

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0
If the jug holds only 3 7/2 ounces [13/2 ounces) of juice, the number of 2 1/2 oz. cups that can be filled is

13
----
  2
-------  =  13/5 cups, or 2 3/5 cups.
 5
---
 2

I suspect you have copied down your numbers incorrectly.  Try again.

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Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
an outdoor deck is 7 feet wide the perimeter of the deck is 64 feet what is the length of the deck use the numbers to write an e
ycow [4]
Answer: 25

Equation:
2(7)+2(x)=64
14+2x=64
2x=64
X=25

Hope this helps :)
5 0
2 years ago
The table shows Malena's bank account summery for a month. Which two values could be the remaining two debits ?
Bogdan [553]

b, but I'm not sure. this could very easily be incorrect. you may need to look this up on google first.

6 0
3 years ago
60° 2x + 149 degrees​
MAXImum [283]

Answer:

x = 23

Step-by-step explanation:

60°=x+14

60+14=84=X

8 0
3 years ago
How do you solve 8a squared plus 2 = 634
Inga [223]

Answer:

a ≈ 8.9

Step-by-step explanation:

Set up the equation as so:

8a^2 + 2 = 634

First, subtract two from both sides:

8a^2 = 632

Then, divide by 8 to further isolate the variable.

a^2 = 79

To get rid of the squared, you have to take the square root of both sides. The square root of 79 is roughly 8.9. Ergo, a ≈ 8.9

8 0
3 years ago
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