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Lady bird [3.3K]
3 years ago
15

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divi

ded by 2(3) + 1
Despite having the same expression, they each came up with different solutions.

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Solution: We know that:

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divided by 2(3) + 1.

Looking at the solution's by Paul and Brett, we clearly see that the Paul made a mistake at step 3.

6 + 12 ÷ 2(3) + 1

6 + 12 ÷ 6 + 1                       Correct

18 ÷ 6 + 1                             Incorrect  It should have been 6 + 2 +1

According to order of operation's rule, division needs to done before addition.

Therefore, solution by Paul carries a mistake, while the solution by Brett is correct.

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Solve the system of linear equations by substituting. Check your solution
Ghella [55]
QUESTION 4

The given system of linear equations are,

y = 5x - 7...(1)

and

- 3x - 2y = - 12...(2)

We put equation (1) into equation (2) to obtain,

- 3x - 2(5x - 7) = - 12

We expand to get,

- 3x - 10x + 14 = - 12

Group like terms to get,

- 3x - 10x = - 12 - 14

Simplify to get,

- 13x = - 26

Divide both sides by -13 to get,

x = 2

Put the value of x into equation (1) to get,

y = 5(2) - 7

y = 10 - 7 = 3

The solution is

x = 2 \: \: and \: \: = 3

QUESTION 5

The given system of linear equations are

-4x+y=6....(1)
and

-5x-y=21...(2)

We make y the subject in equation (1) to get,

y = 4x + 6....(3)

Put equation (3) into equation (2) to get,

- 5x - (4x + 6) = 21

We expand to get,

- 5x - 4x - 6 =21

We group like terms to get,

- 5x - 4x = 21 + 6

This implies that,

- 9x = 27

We divide both sides by -9 to get,

x = - 3

Put the value of x in to equation 3 to get,

y = 4( - 3) + 6

y = - 12 + 6 = - 6

Therefore the solution is

x = - 3 \: and \: y = - 6

QUESTION 6

The given equations are,

-7x-2y=-13...(1)

and

x-2y=-13...(2)

Make x the subject in equation (2) to get,

x = 2y - 13...(3)

Put equation (3) into equation (1) to get,
- 7(2y - 13) - 2y = - 13

We expand to get,

- 14y + 91 - 2y = - 13

We group like terms to obtain,

- 14y - 2y = - 13 - 91

.Simplify to get,

- 16y = - 104

Divide through by -16 to get,

y = \frac{13}{2}

Put the value of y into equation (3) to get,

x = 2( \frac{13}{2} ) - 13

x = 13 - 13 = 0

Therefore

x = 0 \: and \: y = \frac{13}{2}
8 0
3 years ago
A store offers four different brands of a product. It decides to eliminate the
Bumek [7]

Answer:

Brand D has the highest return rate so they should eliminate that one.

Step-by-step explanation:

brand A - .0481

brand B - .0307

Brand C - .0410

Brand D - .0788

3 0
3 years ago
Write 14/√2 + √50 in the form b√2 where b is an integer.
kifflom [539]

Answer:

12 \sqrt{2}

Step-by-step explanation:

Taking the terms one at a time,

\frac{14}{ \sqrt{2} }  \\   \frac{14 *  \sqrt{2} }{ \sqrt{2} *  \sqrt{2}  }  \\   \frac{14  \sqrt{2} }{2}  \\  7 \sqrt{2}

\sqrt{50} \\  \sqrt{25 * 2} \\  \sqrt{25}*  \sqrt{2}    \\ 5 *  \sqrt{2}   \\ 5 \sqrt{2}

Adding the terms, you have;

7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2}

Hope it helps!

I'm out!

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Y = -2x + 6


I think this is it
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3 years ago
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i think

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