Answer:
50+=+%282w
50+=+2w
25+=+w
5+=+w
if width = 5 and l = 2w, then l = 10
let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{7}{2}w+8=\cfrac{13}{4}w+10\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4\left( \cfrac{7}{2}w+8 \right)=4\left( \cfrac{13}{4}w+10 \right)} \\\\\\ 14w+32=13w+40\implies w=40-32\implies \boxed{w=8}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B7%7D%7B2%7Dw%2B8%3D%5Ccfrac%7B13%7D%7B4%7Dw%2B10%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20by%20%7D%5Cstackrel%7BLCD%7D%7B4%7D%7D%7B4%5Cleft%28%20%5Ccfrac%7B7%7D%7B2%7Dw%2B8%20%5Cright%29%3D4%5Cleft%28%20%5Ccfrac%7B13%7D%7B4%7Dw%2B10%20%5Cright%29%7D%0A%5C%5C%5C%5C%5C%5C%0A14w%2B32%3D13w%2B40%5Cimplies%20w%3D40-32%5Cimplies%20%5Cboxed%7Bw%3D8%7D)
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Answer:
d. 3x² +15x
Step-by-step explanation:
The area is the product of length and width.
A = LW
A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property
A = 3x² +15x
Answer:
y-y1 = m(x-x1)
y - 2 = 3(x-1)
y=3x-3+2
y=3x-1
Step-by-step explanation:
first you type down point slope formula
then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope
then you have to distribute the 3 to the x and the -1 and then isolate y
(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other
then you combine like terms 3x is alone and -3 +2 equals -1
there is your answer hope that works.
Don't know if I answered it right...but trying to help!...
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