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cluponka [151]
3 years ago
6

If b < 0 and a/b > c/b, then what is the relationship between a and c?

Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

  • a < c

Step-by-step explanation:

<u>Given inequality:</u>

  • a/b > c/b

<u>Since b is negative, when multiplied by b, the inequality changes to opposite direction:</u>

  • b(a/b) < b(c/b)
  • a < c

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How to solve sets in mathematics ​
FinnZ [79.3K]

Answer:

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5 0
3 years ago
the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
3 years ago
Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each
svlad2 [7]
D because one thousand nine hundred twenty divided by 8 equals two hundred and forty
8 0
3 years ago
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Area of a regular decagon with side length of 8in
Scrat [10]

Answer:

492.43in²

Step-by-step explanation:

I might be wrong.

4 0
3 years ago
A recipe requires 4 cups of flour to make 12 servings and 7 cups of flour to make 21 servings. How many cups of flour is needed
grandymaker [24]

Answer:

6

Step-by-step explanation:

to get cups to servings multiply by 3

if you need 18 servings then divide by 3

6 0
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