60 / 5 = 12 miles per gallon
36 miles = 12 miles / gal * x gallons
divide by 12
36/12 =x gallons
3 =x
He needs 3 gallons
firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,
![\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7Bz%7D%7B5%7D-4%3D%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B15%7D%7D%7B15%5Cleft%28%20%5Ccfrac%7Bz%7D%7B5%7D-4%20%5Cright%29%3D15%5Cleft%28%20%5Ccfrac%7B7%7D%7B3%7D%20%5Cright%29%7D%5Cimplies%203z-60%3D35%20%5C%5C%5C%5C%5C%5C%203z%3D95%5Cimplies%20z%3D%5Ccfrac%7B95%7D%7B3%7D%5Cimplies%20z%20%3D%2031%5Cfrac%7B2%7D%7B3%7D)
Answer:
1/3
Step-by-step explanation:
slope is just change in y over change in x
on a graph this can be found by counting the change in units
look at the point at (-3,0)
find the change in y by starting at that point and counting up or down until you reach another point.
the next point (-4,-3) is three units down (change of -3)
now go back to the first point and count left or right until you reach the other point to get change of x
the other point is one unit left (change of -1)
change of y over change of x = -1/-3=1/3
<h2><u><em>Answer:</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 150 men on 1 day=6000/15.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 1 man on 1 day=6000/(15*150).</em></u></h2><h2><u><em></em></u></h2><h2><u><em>work done by 50 men on 1 day=(6000*50)/(15*150).</em></u></h2><h2><u><em></em></u></h2><h2><u><em>let X days taken to produce 6000 articles by them, then</em></u></h2><h2><u><em></em></u></h2><h2><u><em>((6000*50)/(15*150))X=6000.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>on solving X=45 days.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>So 45 days will take for 50 men to produce 6000 articles.</em></u></h2><h2><u><em></em></u></h2><h2><u><em>Please mark me Brainliest</em></u></h2>
