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harkovskaia [24]
3 years ago
14

The cost of item A is $8 and the

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
7 0

Answer: the number of item A that you sold is 11

the number of item B that you sold is 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

melisa1 [442]3 years ago
5 0

Answer:

4 of item A, and 9 of item B

Step-by-step explanation:

Let x represent the number of item sold in A

Let y represent the number of item sold in B

If the total number of item sold is 13. This implies

x + y = 13

The cost of item A is $8, the cost of item B is $4 and if the total amount of money made is $88, this implies

8(x) + 4(y) = 88 (Substitue x = 13 - y)

→ 8(13 - y) + 4y = 88

→ 104 - 8y + 4y = 88

→ 4y = 16

→ y = 4

If y = 4, then x = 13 - y = 9

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3 years ago
Which of the following is not a geometric sequence?
makkiz [27]

The sequence -7 , -5.8 , -4.6 , -3.4 , -2.2 is not a geometric sequence

Step-by-step explanation:

In the geometric sequence, there is a constant ratio between each two consecutive terms

To prove that a sequence is geometric

  • Find the ratio between each two consecutive terms \frac{a_{2}}{a_{1}} , \frac{a_{3}}{a_{2}} , \frac{a_{4}}{a_{3}} , .....
  • If all the answers give the same ratio, then the sequence is geometric, if not then the sequence is not geometric

The first sequence is 2.8 , 6.72 , 16.128 , 38.7072

∵ a_{1} = 2.8

∵ a_{2} = 6.72

∴ r=\frac{6.72}{2.8}=2.4

∵ a_{2} = 6.72

∵ a_{3} = 16.128

∴ r=\frac{16.128}{6.72}=2.4

∵ a_{3} = 16.128

∵ a_{4} = 38.7072

∴ r=\frac{38.7072}{16.128}=2.4

∵ All the ratios above are equal 2.4

∴ The sequence is a geometric sequence

The second sequence is -7, -5.8 , -4.6 , -3.4 , -2.2

∵ a_{1} = -7

∵ a_{2} = -5.8

∴ r=\frac{-5.8}{-7}=\frac{29}{35}

∵ a_{2} = -5.8

∵ a_{3} = -4.6

∴ r=\frac{-4.6}{-5.8}=\frac{23}{29}

∵ The first two ratios are not equal

∴ The sequence is not a geometric sequence

The third sequence is 1 , -3 , 9 , -27 , 81

∵ a_{1} = 1

∵ a_{2} = -3

∴ r=\frac{-3}{1}=-3

∵ a_{2} = -3

∵ a_{3} = 9

∴ r=\frac{9}{-3}=-3

∵ a_{3} = 9

∵ a_{4} = -27

∴ r=\frac{-27}{9}=-3

∵ a_{4} = -27

∵ a_{5} = 81

∴ r=\frac{81}{-27}=-3

∵ All the ratios above are equal -3

∴ The sequence is a geometric sequence

The sequence -7 , -5.8 , -4.6 , -3.4 , -2.2 is not a geometric sequence

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

5 0
4 years ago
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