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stepladder [879]
2 years ago
13

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
4 0

Answer:

The 49th term is 39.

Step-by-step explanation:

This is a decreasing arithmetic sequence.  We recognize this because the difference from one term to the next is 5.

The general formula needed here is a(n) = a(1) - 5(n - 1)

a(45) = 261 - 5(46 - 1), or

a(45) =  261 - 225 = 39

The 49th term is 39.

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Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale.
Flura [38]
For this item, we may let x be the number or liters of apple juice present in the ginger ale. The total volume of the punch then becomes
                                 total volume = 2 + x 
Then, considering that 75% of this is apple juice,
                                  x/(2 + x) = 0.75
                                   x = 0.75(2 + x) = 1.5 + 0.75x
                                          x = 1.5 + 0.75x
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7 0
2 years ago
Could you please show the work for both of them?​
lesantik [10]
7. y=-3/2x+8 (3rd answer choice)

substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b

so equation would be...

y=-3/2x+8 (3rd answer choice)




8. y=-5x-17 (2nd answer choice)

substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
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so the equation would be...

y=-5x-17 (2nd answer choice)


check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))
3 0
2 years ago
The difference of two numbers is more than 12,and one of the numbers is 3
klio [65]
X+y = 12
x-y = 3
x = 3+y

Substitute it in 1st equation,
3+y+y=12
2y = 9
y = 4.5

Substitute it in 1st eq.,
x = 12-4.5 = 7.5

So, the two numbers are 7.5 & 4.5

Hope this helps!
6 0
2 years ago
Can anyone please help me with this. It’s late and I need help asap :)
laiz [17]

Answer:

I think they're both always but I'm not sure

4 0
3 years ago
Read 2 more answers
Factor the expression using the GCF<br> 42+14
melomori [17]
14 is the answer sorry if I get it wrong :/
6 0
3 years ago
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