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Musya8 [376]
3 years ago
11

student expanded an expression, as shown. Is the student's work correct? Explain why or why not. −6 ( 4x − 2 13 ) −6(4x) + 6 ( −

2 13 ) −24x − 12 13
Mathematics
2 answers:
iren2701 [21]3 years ago
5 0

Answer:No, the work is not correct. The distributive property was not used properly to expand the expression. Negative 6 should be multiplied by both terms in the parentheses. The second product should be -6 times -2/13 to get positive 12/13.

Step-by-step explanation: THAT IS THE SAMPLE RESPONSE!!! :)

sleet_krkn [62]3 years ago
4 0

Answer:

No, the student's work is not correct.

Step-by-step explanation:

Given : Student expanded an expression, as shown.

-6(4x-\frac{2}{13} )

-6(4x)+6(-\frac{2}{13} )

-24x-\frac{12}{13}

To find : Is the student's work correct?

Solution :

The expansion of student is not correct.

Follow the below steps to get correct solution and student mistake,

Step 1 - Write the expression,

-6(4x-\frac{2}{13} )

Step 2 - Apply distributive property, a(b+c)=ab+ac

=(-6)(4x)+(-6)(-\frac{2}{13})

Step 3 - Solve,

=-24x+\frac{12}{13}

The student was mistaken in step 2 in solving the sign.

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When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
Orlov [11]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is 100\%-20\%-20\%=60\% of the total distance from home to school.

1200=\dfrac{60}{100}x

1200=0.6x

\dfrac{1200}{0.6}=x

2000=x

Therefore, the distance from home to school is 2000  metres.

7 0
3 years ago
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7 0
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Step-by-step explanation:

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3 years ago
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6 0
2 years ago
4. Two more than a certain number is 15 less<br> 7<br> 8<br> than the product of and the number.
Serggg [28]

<u>Answer</u><u>:</u>

Equation: x + 2 = 7/8x - 15

Solution: x = -136

<u>Explanation</u><u>:</u>

x + 2 = 7/8x - 15

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17 = -1/8x

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