Explain how algebra tiles represent like terms and zero pairs

Answers

Answer 1
Answer:

Final answer:

Algebra tiles visually represent like terms by using the same tiles to represent the same variables or numbers. Zero pairs are represented by combining a positive and negative tile to represent 'zero', which is crucial in simplifying expressions or solving equations.

Explanation:

In mathematics, specifically in algebra, algebra tiles are a visual tool that are often used to teach concepts. These tiles usually include small squares to represent the number 1, bars to represent variables, and large squares to represent squares of variables.

They are used to represent like terms, which in algebra are terms that contain the same variables raised to the same power. For instance, if you have 3x and 2x, these can be considered like terms because they both contain the variable 'x'. In the context of algebra tiles, you would use three 'x' bars to represent 3x and two 'x' bars to represent 2x.

On the other hand, zero pairs are pairs of numbers that combine to give zero. Using algebra tiles, a zero pair can be represented by placing a positive tile and a negative tile together, which would cancel each other out, effectively representing 'zero'. This concept is important when simplifying expressions or solving equations.

Learn more about Algebra Tiles here:

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12 is 1/3 of what number

List two common factors of 36 and 48.

Answers

The common factors of 36 and 48 are 1, 2, 3, 4, 6, and 12.The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.The factors of 48 are 1, 2, 3, 4, 6, 8, 12,…
1 and 2 for example :)

Can someone explain to me how to do this? :

8^2y+4 = 16^y+1

Answers

Answer:

y = -4

Step-by-step explanation:

Assuming the problem is 8^(2y+4)=16^(y+1), it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- 2^3 and 2^4, we can rewrite the original equation by substituting those in:

(2^3)^(2y+4)=(2^4)^(y+1)

When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:

2^(3\cdot(2y+4))=2^(4\cdot(y+1))\n2^(3\cdot2y+3\cdot4)=2^(4\cdot y+4\cdot1)\n2^(6y+12)=2^(4y+4)

With both of our bases the same, we can now simply compare their exponents directly to solve for y:

6y+12=4y+4\n2y=-8\ny=-4

PLZ HELP ME HURRY!Which inequality best models the situation if variable h is the number of hours Valerie might study each night?



Valerie's goal is to study more than 1 1/4 hours each night.



Which shows the possible number of hours she might study to reach this goal?









A.

h < 1 1/4

and h may be up to 3 hours.








B.

h ≥ 1 1/4

and h may be up to 3 hours.








C.

h > 1 1/4

and h may be up to 30 hours.








D.

h > 1 1/4

and h may be up to 3 hours.

Answers

D, because she wants to study more than 1 1/4 hours. > is the greater sign, It can't be C because there is not 30 hours in a day, It can't be B because she wants to study more than 1 1/4 hours not equal to it. It wouldn't A because thats the less than sign.

Which equation shows the substitution method being used to solve the system of linear equations?x + y = 6
x = y + 5


A.
x + y = y + 5

B.
x + (y + 5) = 6

C.
x = (x – 6) + 5

D.
(y + 5) + y = 6

Answers

The equation
(y + 5) + y = 6
shows the substitution method being used to solve the system of linear equations. So the correct option among all the options given in the question is option "D".
For a better explanation, let us first write down the two equations given in the question.
x + 5 = 6
and
x = y + 5
Now the thing that has been done is that the value of x in the first equation has been replaced by the value of x that is given in the second equation. this is actually the substitution method of solving equations.
Your answer is D. You're welcome ;-) (Not trying to sound sarcastic, just I wanted to say you're welcome now than never)

Someone please help plz

Answers

Answer: 14

Step-by-step explanation:

12^2+8^2=208 square root is 14

Answer:

14

Step-by-step explanation:

Please help me work plz

Answers

Answer:

3.68

Step-by-step explanation:

Answer:

3.68

Step-by-step explanation:

you put the higher number on top then you take out the decimal. when you do the math, then you count how many numbers are in the decimal area and put the demimals how many numberes it is.