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Airida [17]
3 years ago
11

Heather says that the expressions 4 x minus 2 x plus 8 and 2 left parenthesis x plus 4 right parenthesis are not equivalent beca

use one expression has a term that is subtracted and the other does not. Do you​ agree? Explain.
Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Yes, Heather is correct. The expressions are not equivalent

<em><u>Solution:</u></em>

Given that,

Heather says, the following expressions are not equivalent

4x - 2x + 8\ and\ 2(x-4)

Because one expression has a term that is subtracted and the other does not

<em><u>Combine the like terms in first expression:</u></em>

4x - 2x + 8 = 2x +8

<em><u>Let us first expand the second expression</u></em>

By distributive property

a(b + c) = ab + bc

Therefore,

2(x-4) = 2x - 8

<em><u>Thus the two expressions are:</u></em>

2x + 8\ and\ 2x-8

Yes both the expressions are not equivalent

Because, in first expression 2x is added to 8

But in second expression, 8 is subtracted from 2x

Thus heather is correct

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(+5) and (-9)

Step-by-step explanation:

(+5) + (-9) = -4

(+5) × (-9) = -45

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Answer:

\huge\boxed{9}

Step-by-step explanation:

\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}

Rule of exponents a^0 = 1 , 1/a^m = a^{-m}

=> \sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}

=> \sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}

Combining same bases

=> \sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}

When bases are same , powers are to be added

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Maria can read 20 pages of economics in an hour. She can also read 50 pages of sociology in a hour. She...? Maria can read 20 pa
denis-greek [22]
B.) Marua will spend 2 hours to read 100 pages of sociology which means she can only read 60 pages of economics.
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8 0
3 years ago
a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

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i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of  box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0
3 years ago
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