So, we were given 2 variables, x and y. The amount of money that Margot has saved up, $375, and the cost of each piece of wood, $3.
So, if Margot buys x pieces of wood, it would cost her 3x (3 times x) dollars, and to find the remaining money, simply subtract what she had earlier to it. So the equation will be.
y = 375-3x
Hope this helps!
![\sf \bigstar \: \red{Answer :-}](https://tex.z-dn.net/?f=%20%5Csf%20%5Cbigstar%20%5C%3A%20%20%5Cred%7BAnswer%20%3A-%7D)
We have been provided :-
- Length of a side of a square =
![\sf \: 5 {a}^{6}](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%205%20%7Ba%7D%5E%7B6%7D%20)
We know that,
![\bigstar \: \boxed{\sf \red{area \: of \: a \: square \: = side \times side}}](https://tex.z-dn.net/?f=%20%20%20%5Cbigstar%20%5C%3A%20%5Cboxed%7B%5Csf%20%5Cred%7Barea%20%5C%3A%20of%20%5C%3A%20a%20%5C%3A%20square%20%5C%3A%20%20%3D%20side%20%5Ctimes%20side%7D%7D)
Therefore, to find the area we will simply put the given values in the equation.
So,
![\sf \: area = {5a}^{6} \times {5a}^{6} = {5a}^{6 + 6} = {5a}^{12}](https://tex.z-dn.net/?f=%20%5Csf%20%20%5C%3A%20area%20%3D%20%20%7B5a%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7B5a%7D%5E%7B6%7D%20%20%3D%20%20%20%7B5a%7D%5E%7B6%20%2B%206%7D%20%20%3D%20%20%7B5a%7D%5E%7B12%7D%20)
<u>❆ Some important identities to remember</u> :-
![\longrightarrow\sf \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \longrightarrow\sf \: {a}^{m} \times {b}^{m} = {ab}^{m} \: \\ \longrightarrow\sf \: {a}^{m} \div {a}^{n} = {a}^{m - n}](https://tex.z-dn.net/?f=%20%20%5Clongrightarrow%5Csf%20%5C%3A%20%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20%2B%20n%7D%20%20%5C%5C%20%20%20%20%5Clongrightarrow%5Csf%20%5C%3A%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Bb%7D%5E%7Bm%7D%20%20%3D%20%20%7Bab%7D%5E%7Bm%7D%20%20%5C%3A%20%20%5C%5C%20%20%20%5Clongrightarrow%5Csf%20%5C%3A%20%7Ba%7D%5E%7Bm%7D%20%20%5Cdiv%20%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20-%20n%7D%20)
Hope that helps :)
Answer:
Infinitely many
Step-by-step explanation:
The second equation is basically multiplying the first equation by 2, so this means that they will have the same rate of change and initial value. Therefore, there are infinitely many solutions.
Not sure but i think its both 1/8ths...not sure though...sorry
This would be a positive answer because 400/2 = 200 which is a positive number/integer