Answer: x = 2
Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.
So we have 4(x) which is 4x and 4(6) which is 24.
So our equation now reads 4x + 24 = 32.
Solving from here, we subtract 24 from both sides to get 4x = 8.
Then divide both sides by 4 to get <em>x = 2</em>.
Answer:
<h2>
![\huge \: 44.4](https://tex.z-dn.net/?f=%20%5Chuge%20%5C%3A%2044.4)
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- trigonometry
- equation
- PEMDAS
<h3>tips and formulas:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
![\sin( \theta) = \frac{7}{10}](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cfrac%7B7%7D%7B10%7D%20)
![\theta = asin( \frac{7}{10} )](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%20asin%28%20%5Cfrac%7B7%7D%7B10%7D%20%29)
![\theta = 44.4^{o}](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%2044.4%5E%7Bo%7D%20)
Answer: y = 2x - 4
Step-by-step explanation:
Algebraic basics.
Either order is correct.
Small example: let's take
![n=3](https://tex.z-dn.net/?f=n%3D3)
. Then
![(x\times y)^3=(x\times y)\times(x\times y)\times(x\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%29%5Ctimes%28x%5Ctimes%20y%29%5Ctimes%28x%5Ctimes%20y%29)
By the commutative property, we can write
![(x\times y)^3=(x\times y)\times\underbrace{(y\times x)}\times(x\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%29%5Ctimes%5Cunderbrace%7B%28y%5Ctimes%20x%29%7D%5Ctimes%28x%5Ctimes%20y%29)
By the associative property, we can regroup consecutive terms.
![(x\times y)^3=(x\times(y\times y))\times((x\times x)\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%28y%5Ctimes%20y%29%29%5Ctimes%28%28x%5Ctimes%20x%29%5Ctimes%20y%29)
![(x\times y)^3=(x\times y^2)\times(x^2\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20y%5E2%29%5Ctimes%28x%5E2%5Ctimes%20y%29)
By the associative property again, we can regroup terms and write
![(x\times y)^3=x\times(y^2\times x^2)\times y](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5Ctimes%28y%5E2%5Ctimes%20x%5E2%29%5Ctimes%20y)
Commutativity:
![(x\times y)^3=x\times(x^2\times y^2)\times y](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5Ctimes%28x%5E2%5Ctimes%20y%5E2%29%5Ctimes%20y)
Associativity:
![(x\times y)^3=(x\times x^2)\times(y^2\times y)](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3D%28x%5Ctimes%20x%5E2%29%5Ctimes%28y%5E2%5Ctimes%20y%29)
![(x\times y)^3=x^3\times y^3](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5E3%3Dx%5E3%5Ctimes%20y%5E3)
You can show by induction that this holds in general for
![n](https://tex.z-dn.net/?f=n)
so that
![(x\times y)^n=x^n\times y^n](https://tex.z-dn.net/?f=%28x%5Ctimes%20y%29%5En%3Dx%5En%5Ctimes%20y%5En)
.
Answer:8 lilies and 12 tulips; total of 20 flowers.
Step-by-step explanation:
8 lilies for $3 each equals $24. 12 tulips for $2 each equals $24. Add that together and the total for the bouquet is $48.