Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
7(4x) = 28x
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
![\boldsymbol{\sf{6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{y}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B6-%5Cdfrac%7B3%7D%7B4%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7By%7Dx%2B5%20%20%20%20%7D%7D)
Convert 6 to the fraction 18/3.
![\boldsymbol{\sf{\dfrac{18}{3} -\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{y}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B18%7D%7B3%7D%20-%5Cdfrac%7B3%7D%7B4%7Dx%2B%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7By%7Dx%2B5%20%20%20%20%7D%7D)
Since the fractions 18/3 and 1/3 have the same denominator, we add their numerators to calculate them.
![\boldsymbol{\sf{\dfrac{18+1}{3}-\dfrac{3}{4}x=\dfrac{1}{2}x+5 \ \longmapsto \ \ [Add \ 18+1] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B18%2B1%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B5%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%20%2018%2B1%5D%20%7D%7D)
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{3}{4}x=\dfrac{1}{2}x+5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx%3D%5Cdfrac%7B1%7D%7B2%7Dx%2B5%20%20%7D%7D)
Subtract
on both sides.
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{3}{4}x-\dfrac{1}{2}x=5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B3%7D%7B4%7Dx-%5Cdfrac%7B1%7D%7B2%7Dx%3D5%20%20%20%20%7D%7D)
Combine
and
to get
.
![\boldsymbol{\sf{\dfrac{19}{3}-\dfrac{5}{4}x=5 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%5Cdfrac%7B19%7D%7B3%7D-%5Cdfrac%7B5%7D%7B4%7Dx%3D5%20%20%20%7D%7D)
Subtract 19x from both sides.
![\boldsymbol{\sf{-\dfrac{5}{4}x=5-\dfrac{19}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D5-%5Cdfrac%7B19%7D%7B3%7D%20%20%20%20%20%7D%7D)
Convert 5 to the fraction 15/3.
![\boldsymbol{\sf{-\dfrac{4}{5}x=\dfrac{15}{3}-\dfrac{19}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B4%7D%7B5%7Dx%3D%5Cdfrac%7B15%7D%7B3%7D-%5Cdfrac%7B19%7D%7B3%7D%20%20%20%20%7D%7D)
Since the fractions 15/3 and 19/3 have the same denominator, we add their numerators to calculate them.
![\boldsymbol{\sf{-\dfrac{5}{4}x=\dfrac{15-19}{3} \ \longmapsto \ \ [Subtract \ 15-19] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D%5Cdfrac%7B15-19%7D%7B3%7D%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BSubtract%20%5C%2015-19%5D%20%20%7D%7D)
![\boldsymbol{\sf{-\dfrac{5}{4}x=-\dfrac{4}{3} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-%5Cdfrac%7B5%7D%7B4%7Dx%3D-%5Cdfrac%7B4%7D%7B3%7D%20%20%20%7D%7D)
Multiply both sides by -4/3, the reciprocal of -4/3.
![\boldsymbol{\sf{x=-\dfrac{4}{5}\left(-\dfrac{4}{5}\right) }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%3D-%5Cdfrac%7B4%7D%7B5%7D%5Cleft%28-%5Cdfrac%7B4%7D%7B5%7D%5Cright%29%20%20%20%7D%7D)
Multiply -4/3 by -4/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
![\boldsymbol{\sf{x=\dfrac{-4(-4)}{3\times5} \ \ \longmapsto \ \ Multiply, \ numerator \ and \ denominator. }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%3D%5Cdfrac%7B-4%28-4%29%7D%7B3%5Ctimes5%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20Multiply%2C%20%5C%20numerator%20%5C%20and%20%5C%20%20denominator.%20%7D%7D)
![\red{\boxed{\boldsymbol{\sf{\blue{Answer \ \ \longmapsto \ \ \ \ x=\frac{16}{15} }}}}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cboxed%7B%5Cboldsymbol%7B%5Csf%7B%5Cblue%7BAnswer%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5C%20x%3D%5Cfrac%7B16%7D%7B15%7D%20%7D%7D%7D%7D%7D)
Part a)
we have that
<span>√72
</span>√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
<span>
</span><span>alternative method</span><span>
72 is equal to-------> 2</span>³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2
Part b)<span>Estimate the square root of 72 to the nearest tenth
</span>
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5
the answer Part b) is 8.5
he has 188 bucks and 5 friends plus him each cost 19 bucks so divided 19 and 188 equal answer th em divided the answer and 5