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Ivanshal [37]
3 years ago
12

4(2r + 8) = 88 I would like to know the answer to this question please

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

4(2r + 8) = 88

mutiply the bracket by 4

(4)(2r)(4)(8)= 8r+32

8r+32= 88

Move +32 to the other side

Sign changes from +32 to -32

8r+32-32= 88-32

8r= 88-32

8r= 56

divide by 8 for both sides

8r/8= 56/8

Cross out 8 and 8, divide by 8. Then becomes r

r= 7

Answer: r= 7

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Answer:

1. 8% of 50 is 4

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Step-by-step explanation:

6 0
2 years ago
5x-y=1/4 intercept form
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5x - y = 1/4; this equation is written in slope - intercept form

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3 0
4 years ago
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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Need an answer as soon as possible.
Elza [17]
Part A

Answer: The common ratio is -2

-----------------------------------

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

-----------------------------------

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

-----------------------------------

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
6 0
4 years ago
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