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Scilla [17]
3 years ago
7

Mary has 18 more points than George. George has twice as many as Carrie. Carrie has 2 fewer points than Jennifer. Jennifer has 1

0 points. How many points do each one have?
Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

Answer:

Mary = 34, George = 16, Carrie = 8, Jennifer = 10

Step-by-step explanation:

Set up the system of equations from the given information.

1) m = g + 18

2) g = 2 * c

3) c = j - 2

4) j = 10

Solve each equation one by one:

Plug eq.4 into eq.3:

5) c = 10 - 2 = 8

Plug eq.5 into eq.2:

6) g = 2 * 8 = 16

Plug eq.6 into eq.1:

m = 16 + 18 = 34

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tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

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2 years ago
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GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

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1 = -9x/432

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Cross multiplying

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x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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