Draw algebra tile models to prove that 4+8x and 4(2x+1) are equivalent

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Answer 1

Answer: Modelling Algebraic expressions can be done through Algebra Tiles, this is done through squares and rectangles both representing variables and numbers. 4+8x and 4(2x+1) is equivalent because of its distributive property, in the second equation 4 is distributed or multiplied to 2x+1 making it 8x+4. To represent this with Algebra tiles, you need to divide the paper into two, draw a vertical line in the middle that represents equal sign and on the first column, you need to draw 4 squares and beside it are 8 thin rectangles and on the second column you need to draw 8 thin rectangles and beside it are 4 squares. If you can picture it out, basically both equations are equivalent.

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What is "the quotient of eight raised to the power of two and four, decreased by six."

Answers

Okay, let's try to break this down:

The quotient of 8 raised to the power of two and four, so that sounds like

x = (8^2)^4
Then decreased by 6

x = (8^2)^4 - 6

Let the quotient be x

Now then, we can start simplifying by exponents first:
(8^2)^4 = 8^8 = 16,777,216

Now subtract 6
16, 777, 216 - 6 = 16,777,210

So our quotient would be:
16,777,210!
:D

An equation is shown below: 4(2x − 3) = 4 Part A: What is the solution to the equation above? Show your work using inverse operations. (5 points) Part B: Check using substitution to make sure your answer is correct. (5 points)

Answers

Answer:

The solution of the given equation is x = 2.

Step-by-step explanation:

The given linear equation is,

$4(2x-3)=4$

At first, we will eliminate '4' from the LHS by dividing both sides i.e., LHS and RHS by 4 because '4' is present in multiplication with the term containing unknown in LHS.

So, dividing both sides by '4', we get

$(4(2x-3))/(4) = (4)/(4)$

$\implies 2x - 3 = 1$

Our next step will be to eliminate '3' from the LHS that is being subtracted from the term containg unknown variable. For this, we will add '3' on both sides of the above obtained equation.

So, adding '3' on both sides, we get

$2x - 3 + 3 = 1 + 3$

$\implies 2x = 4$

Now, we will eliminate '2' from the LHS that is in multiplication with the unknown variable 'x'.

For this, we will divide both sides of the above obtained equation by '2'.

So, dividing both sides by '2', we get

$(2x)/(2)=(4)/(2)$

$\implies x = 2$

CHECKING :

For this, we will substitute x = 2 in the LHS of the given equation and then check whether it is equal to RHS or not.

LHS = 4(2x - 3)

= 4(2 × 2 - 3)

= 4(4 - 3)

= 4 × 1

= 4

= RHS

So, the solution of the given equation is x = 2.

Answer:

see explanation

Step-by-step explanation:

(A) Given

4(2x - 3) = 4 ( divide both sides by 4 )

2x - 3 = 1 ( add 3 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

(B)

As a check substitute x = 2 into the left side of the equation and if equal to the right side then it is the solution.

4(2(2) - 3) = 4(4 - 3) = 4(1) = 4 = right side

Hence x = 2 is the solution

If $2887.51 is 60%, What is 100%?

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4812.52. I got this answer by seeing what number do you multiply 60 to get 2887.51. Then I multiplied that number by 100.

What is the 10th term of the sequence:5,9,13,17

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The pattern is add 4
5, 9, 13, 17, 21, 25, 29, 33, 37, and 41.
Your answer is 41.

5,9,13,17,..........

The difference between each number is 4. Now lets continue the sequence.

5,9,13,17,21,25,29,33,37,41,......

Now I continued the sequence to 10th term. The 10th term is 41.

Other way is 4+n where n is the # of term.

What is 0.4^-2 (0.4 to the power of -2)?

Answers

(4/10)^-2 = (2/5)^-2 = (5/2)^2 = 25/4 = 6.25

Answer: 39.0625

Step-by-step explanation: (0.4^(-2))*(0.4^(-2))

What is the value of y when x= 2y
4x-3=0.4-2y

Answers

I hope this helps you

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Compare the following 3/5 and 6/11

Simplify the expression by combining like terms.15 + 12x – 5x + 4y - 7(A) 11xy + 8(B) 7x + 4y + 8(C) 7x + 4y - 7(D) 15 + 11xy - 7