All categories

3 years ago

Look at the way that Samuel answered the question above.

Mathematics

1 answer:

Solnce55 [7]3 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

You might be interested in

Here are Xavier's bowling scores:

liq [111]

Answer:

UQ = 185

Step-by-step explanation:

the median separates the data set into the lower quartile and upper quartile

The median of this data set is 151

The lower quartile is the median of the lowest five values, or 132

The upper quartile is the median of the highest five values, or 185

3 0

3 years ago

Eric put several CD's in a case. Four CDs are country, six are rap and ten are pop. If Eric picks one CD from the case without l

Olenka [21]

Answer:

4:20

Step-by-step explanation:

The answer should be 4:20

1. Total the number of CD's

2. 4:20 are country

3. Therefore out of 20 CD's there's a probability that 4 will be chosen.

Hope This Helps <3

7 0

3 years ago

The cost for a certain music plan is 9.99 per year plus $.025 per song you download if you paid $113.74 one year find the number

garri49 [273]

Y=amount of money paid. (in $)
x=number of songs download.

We have this function:
y=0.25x+9.99

Then:
if y=113.74

113.74=0.25x+9.99
0.25x=113.74-9.99
0.25x=103.75
x=103.75 / 0.25
x=415

Answer: the number of songs downloaded would be 415.

6 0

3 years ago

Read 2 more answers

show that the lines x2-4xy+y2=0 and x+y=3 form an equilateral triangle also find area of the triangle

arlik [135]

Given pair of lines are x² + 4xy + y² = 0

⇒ (y/x) ² + 4 y/x + 1 = 0

⇒ y/x = -4±2√3/2 = -2±√3,

∴ The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle

Clearly the pair of lines x² + 4xy +y² = 0 intersect at origin,

The perpendicular distance form origin to x - y = 4 is the height of the

h = 2 √ 2

∵ Area of triangle = h²/√3 = 8/√3

4 0

2 years ago

Gaby has 89 friendship bracelets. She has 4 friends, Lulu, Brianna, Brittany and Mariah. When, they get the bracelets are they a

ipn [44]

Answer:

They will not get the same amount of bracelets

Step-by-step explanation:

You cannot divide 89 by 4 to get an equal number (4 is not a factor of 9)

5 0

2 years ago

Read 2 more answers