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4 years ago

Look at the way that Samuel answered the question above.

Mathematics

1 answer:

Solnce55 [7]4 years ago

5 0

A) Multiplication is done wrong. The + sign with 16 underlined in the term -16m+16=-16 is wrong. it should be -16.

B) After solving $-2(8m+8)=-16$ correctly we get m=0

Step-by-step explanation:

A) Explain his mistake in complete sentences.

Samuel has done the mistake while performing the step:

$-2(8m+8)=-16$

When we multiply -2 with the terms inside the bracket, we apply the rule that if we have one positive sign (+) and one negative sign (-) while multiplying the result would have negative sign(-) i.e,

$-16m-16=-16$

While Samuel has calculated as $-16m+16=-16$

The + sign with 16 underlined in the term -16m+16=-16 is wrong. it should be -16.

B) Explain how to solve the equation correctly

Now, solving the given expression:

$-2(8m+8)=-16\\Multiplying\,\,-2\,\,with\,\,terms\,\,inside\,\,the\,\,bracket.\\-16m-16=-16\\Adding\,\,+16\,\, on\,\, both\,\, sides\\-16m-16+16=-16+16\\-16m=0\\Divide\,\,both\,\,sides\,\,by\,\,-16\\m=0$

So, the value of m is m=0

Keywords: Solving Algebraic expressions

Learn more about Solving Algebraic expressions at:

#learnwithBrainly

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3 years ago

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1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2 Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice and sparkling water in 100 quart of punch are 33 1/3 quart and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1) water required for 3/4 quart of grape juice = 3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

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2) From solution of 1 ,

For 18 quart of Sparkling water , grape juice require = 9 quart

So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

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in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

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4 years ago

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<h2>The least possible sum of a and b is -32</h2>

to 1) and to 5)

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