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irga5000 [103]
3 years ago
10

lynn spends money while sam saves money lynn starts with $250 and spends $20 per week sam starts with $40 and saves $15 per week

find the equations for the total amount of money each girl has based on the week
Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0
For Lynn
(M means Money and T means Weeks)
M=250-20T
For Sam
M=40+15T
For example this means that after 3 weeks lynns would be
M=250-60=190
And sams would be
M=40+45=85
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Answer:

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  • 38 erasers
  • 44 sharpeners

Step-by-step explanation:

The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.

It can be helpful to look at the differences between these numbers:

  748 -646 = 102

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The difference of these differences is 17, suggesting that will be the number of packets possible.

  527 = 17 × 31

  646 = 17 × 38

  748 = 17 × 44

The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.

There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.

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We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.

17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.

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What is the next term of the following geometric sequence:
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Each term has been multiplied by 2/5.

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-1/5 * 2/5 = -2/25

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\boxed{ \boxed{\huge{ \mathrm{  \underline{ Answer } ✓ }}}}

<u>Figure - 1</u> :

Let the missing side as " n "

\mathrm{ \triangle DEF    \sim   \triangle DRQ}

Therefore the sides will be proportional,

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  • n =  \dfrac{1}{3}  \times 9

  • n = 3 \:  \: units

_____________________________

<u>Figure - 2</u> :

Let the missing side as " m "

The Triangles are similar, therefore their sides will be proportional.

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  • m =  \dfrac{3}{2}  \times 8

  • m = 3 \times 4

  • m = 12 \:  \: units

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