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ipn [44]
1 year ago
15

26. A book costs sh. (x - 300) and a pen costs sh (x + 100). If Ndagire pad sh. 3300 for 3 books and 2 pens, how much did she pa

y for each item?​
Mathematics
1 answer:
saul85 [17]1 year ago
7 0

Answer:

500 and 900

Step-by-step explanation:

3(x - 300) + 2(x + 100) = 3300 ← distribute parenthesis

3x - 900 + 2x + 200 = 3300

5x - 700 = 3300 ( add 700 to both sides )

5x = 4000 ( divide both sides by 5 )

x = 800

Then

cost of book = x - 300 = 800 - 300 = 500

cost of pen = x + 100 = 800 + 100 = 900

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3 years ago
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3 years ago
What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
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Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

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The solution of this system is:

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6 0
2 years ago
Carlos started a business with 8 customers. Each month, his business increased by 4 customers. He would like 52 customers a mont
maxonik [38]

Answer: 11 months

Step-by-step explanation:

Let the number of months that it will take him to reach his goal be represented by x.

Based on the information given in the question, this can be formed into an equation as:

8 + 4x = 52

4x = 52 - 8

4x = 44

x = 44/4

x = 11

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5 0
3 years ago
Please help ASAP with this one too! Thanks!
11Alexandr11 [23.1K]
Hello,

y+3=-6(x+2)
==>y=-6x-15

Answer A
3 0
3 years ago
Read 2 more answers
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