Answer:
Approx 0.453488372
Step-by-step explanation:
You can get this with a calculator.
25 × 39 = 975
975÷2150≈ 0.453488372
I'm not sure if I'm supposed to round this or not, so I won't. If you need it rounded, comment, and I will!
I would love brainliest!!!!
Answer:
As
![\:\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=x^4y^{-14}z^{-4}](https://tex.z-dn.net/?f=%5C%3A%5Cleft%28%5Cfrac%7B%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%7D%7B%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%7D%5Cright%29%5E2%3Dx%5E4y%5E%7B-14%7Dz%5E%7B-4%7D)
Step-by-step explanation:
Given the expression
![\left[\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right]^2](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%7D%7B%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%7D%5Cright%5D%5E2)
![\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28%5Cfrac%7Ba%7D%7Bb%7D%5Cright%29%5Ec%3D%5Cfrac%7Ba%5Ec%7D%7Bb%5Ec%7D)
![\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%7D%7B%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%7D%5Cright%29%5E2%3D%5Cfrac%7B%5Cleft%28%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%5Cright%29%5E2%7D%7B%5Cleft%28%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%5Cright%29%5E2%7D)
![=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%28%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%5Cright%29%5E2%7D%7B%5Cleft%28%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%5Cright%29%5E2%7D)
as
![\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5C%3Aa%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7Ba%7D)
so the expression becomes
∵ ![\left(x^2y^3\right)^{-1}=\frac{1}{x^2y^3}](https://tex.z-dn.net/?f=%5Cleft%28x%5E2y%5E3%5Cright%29%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7Bx%5E2y%5E3%7D)
as
![\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Ccdot%20%5C%3Ab%5Cright%29%5En%3Da%5Enb%5En)
so the expression becomes
∵ ![\left(x^{-2}y^2z\right)^2=\frac{y^4z^2}{x^4}](https://tex.z-dn.net/?f=%5Cleft%28x%5E%7B-2%7Dy%5E2z%5Cright%29%5E2%3D%5Cfrac%7By%5E4z%5E2%7D%7Bx%5E4%7D)
as
![\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}](https://tex.z-dn.net/?f=%5Cmathrm%7BDivide%5C%3Afractions%7D%3A%5Cquad%20%5Cfrac%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%7B%5Cfrac%7Bc%7D%7Bd%7D%7D%3D%5Cfrac%7Ba%5Ccdot%20%5C%3Ad%7D%7Bb%5Ccdot%20%5C%3Ac%7D)
so the expression becomes
![=\frac{1\cdot \:x^8}{x^4y^6y^8z^4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%5Ccdot%20%5C%3Ax%5E8%7D%7Bx%5E4y%5E6y%5E8z%5E4%7D)
![=\frac{x^8}{x^4y^6y^8z^4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%5E8%7D%7Bx%5E4y%5E6y%5E8z%5E4%7D)
as
![\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D)
so the expression becomes
![=\frac{x^4}{y^8y^6z^4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%5E4%7D%7By%5E8y%5E6z%5E4%7D)
![=\frac{x^4}{y^{14}z^4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%5E4%7D%7By%5E%7B14%7Dz%5E4%7D)
as
![\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5C%3Aa%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7Ba%7D)
so the expression becomes
![=x^4y^{-14}z^{-4}](https://tex.z-dn.net/?f=%3Dx%5E4y%5E%7B-14%7Dz%5E%7B-4%7D)
Therefore,
Part A: $2.50 * 5 pads = $12.50
$5.75 * 6 pkg markers = $34.50
$12.50 + $34.50 = $47.00 spent on pads and markers
Total spent $65.00 - $47.00 spent on pads and markers = $18.00 left for jars of paint
$18.00 divided by $4.50 = 4 jars of paint that he bought
PART B. The answer is 12 colored pencils.
$18 total spent 3 paint brushes = $9.00
$18 - $9= $9.00 left for color pencils
$9.00 divided by $0.75= 12 colored pencils
the answer is 12 colored pencils
If <span>x < 18 then you can subtract both sides by 18 and you would get </span>x - 18 < 18 - 18 = 0
So that would be x - 18 < 0.
Hope this helps.