Answer:
2.2 or 11/5
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
To convert a Decimal to a Fraction follow these steps:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
Answer:
So normally you would say it as
\ /
<em>2 and 1/2</em>
/ \
<em>(2 1/2)</em>
<em></em>
*eliza*
<em></em>
<em></em>
Answer:
4 ( m⁶ - 4p¹⁰ )
Step-by-step explanation:
4m⁶ = 4 * m⁶
16p¹⁰= 4 * 4 * p¹⁰
Common factor = 4
4m⁶ - 16p¹⁰ = 4 ( m⁶ - 4p¹⁰ )
For the transformation
![\begin{cases}x=7u+v\\y=u+7v\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx%3D7u%2Bv%5C%5Cy%3Du%2B7v%5Cend%7Bcases%7D)
the Jacobian is
![\dfrac{\partial(x,y)}{\partial(u,v)}=\begin{bmatrix}7&1\\1&7\end{bmatrix}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%28x%2Cy%29%7D%7B%5Cpartial%28u%2Cv%29%7D%3D%5Cbegin%7Bbmatrix%7D7%261%5C%5C1%267%5Cend%7Bbmatrix%7D)
with determinant
![\det\left(\begin{bmatrix}7&1\\1&7\end{bmatrix}\right)=48](https://tex.z-dn.net/?f=%5Cdet%5Cleft%28%5Cbegin%7Bbmatrix%7D7%261%5C%5C1%267%5Cend%7Bbmatrix%7D%5Cright%29%3D48)
The vertices of the triangle in the
-plane are
![(x,y)=(0,0)\implies(u,v)=(0,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C0%29%5Cimplies%28u%2Cv%29%3D%280%2C0%29)
![(x,y)=(7,1)\implies(u,v)=(1,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%287%2C1%29%5Cimplies%28u%2Cv%29%3D%281%2C0%29)
![(x,y)=(1,7)\implies(u,v)=(0,1)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%281%2C7%29%5Cimplies%28u%2Cv%29%3D%280%2C1%29)
Then the integral is
![\displaystyle\iint_R(x-8y)\,\mathrm dA=-48\int_0^1\int_0^{1-v}(u+55v)\,\mathrm du\,\mathrm dv=\boxed{-448}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ciint_R%28x-8y%29%5C%2C%5Cmathrm%20dA%3D-48%5Cint_0%5E1%5Cint_0%5E%7B1-v%7D%28u%2B55v%29%5C%2C%5Cmathrm%20du%5C%2C%5Cmathrm%20dv%3D%5Cboxed%7B-448%7D)
First off, let's convert the percentages to decimal format, so our 77% turns to 77/100 or 0.77, and our 55% turns to 55/100 or 0.55 and so on
now, the sum of both salines, must add up to the 77% mixture, let's say is "y"
so, 11 + 4 = y, and whatever the concentration level is, must also sum up to the mixture's concentration of 77%
anyway thus
![\bf \begin{array}{lccclll} &amount&concentration& \begin{array}{llll} concentrated\\ amount \end{array}\\ &-----&-------&-------\\ \textit{first sol'n}&11&x&11x\\ \textit{second sol'n}&4&0.55&2.20\\ ------&-----&-------&-------\\ mixture&y&0.77&0.77y \end{array}\\\\ -------------------------------\\\\ \begin{cases} 11+4=y\implies 15=\boxed{y}\\ 11x+2.2=0.77y\\ ----------\\ 11x+2.2=0.77\cdot \boxed{15} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26amount%26concentration%26%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Aconcentrated%5C%5C%0Aamount%0A%5Cend%7Barray%7D%5C%5C%0A%26-----%26-------%26-------%5C%5C%0A%5Ctextit%7Bfirst%20sol%27n%7D%2611%26x%2611x%5C%5C%0A%5Ctextit%7Bsecond%20sol%27n%7D%264%260.55%262.20%5C%5C%0A------%26-----%26-------%26-------%5C%5C%0Amixture%26y%260.77%260.77y%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Cbegin%7Bcases%7D%0A11%2B4%3Dy%5Cimplies%2015%3D%5Cboxed%7By%7D%5C%5C%0A11x%2B2.2%3D0.77y%5C%5C%0A----------%5C%5C%0A11x%2B2.2%3D0.77%5Ccdot%20%5Cboxed%7B15%7D%0A%5Cend%7Bcases%7D)
solve for "x"