Well... we know that... there are 365 days in a year, unless is a leap-year, but we'll use 365 anyway
and each day has 24hrs, each hr has 60 minutes
so. let us use those ratios
![\bf 2.1million\iff 2.1E6\iff 2,100,000\qquad thus \\\\\\ \cfrac{2100000\ deaths}{1\ year}\cdot \cfrac{1\ year}{365\ day}\cdot \cfrac{1\ day}{24\ hr}\cdot \cfrac{1\ hr}{60\ minute}](https://tex.z-dn.net/?f=%5Cbf%202.1million%5Ciff%202.1E6%5Ciff%202%2C100%2C000%5Cqquad%20thus%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B2100000%5C%20deaths%7D%7B1%5C%20year%7D%5Ccdot%20%5Ccfrac%7B1%5C%20year%7D%7B365%5C%20day%7D%5Ccdot%20%5Ccfrac%7B1%5C%20day%7D%7B24%5C%20hr%7D%5Ccdot%20%5Ccfrac%7B1%5C%20hr%7D%7B60%5C%20minute%7D)
so.. multiply and simplify, cancelling out any like-units atop and bottom
notice, all we do, is use the ratios, in a way, that if we need one unit to be changed, we flip the ratio
for example, to toss away "year" unit, since in the first fraction is at the bottom, then we put it on the top on the ratio, year/year = 1, effectively cancelling the unit
Answer:
Length of other board
metres
Step-by-step explanation:
Given: Length of board =
metres
Length of board was divided into two.
Length of one piece =
metres
Let
= length of the other board
Length of the other board = Length of board - Length of one piece
So, ![l=\frac{7}{x-2}-\frac{3}{x+2}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B7%7D%7Bx-2%7D-%5Cfrac%7B3%7D%7Bx%2B2%7D)
![l=\frac{7(x+2)-3(x-2)}{(x-2)(x+2)} \\\\l=\frac{7x+14-3x+6}{x^{2} -4} \\\\l=\frac{4x+20}{x^{2} -4}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B7%28x%2B2%29-3%28x-2%29%7D%7B%28x-2%29%28x%2B2%29%7D%20%5C%5C%5C%5Cl%3D%5Cfrac%7B7x%2B14-3x%2B6%7D%7Bx%5E%7B2%7D%20-4%7D%20%5C%5C%5C%5Cl%3D%5Cfrac%7B4x%2B20%7D%7Bx%5E%7B2%7D%20-4%7D)
Thus, length of the other board
metres
Answer:
X=4 hope this helped :)
Step-by-step explanation:
2(x-3)=14
2x-6=14
2x= 14-6
2x=8
x= 4
Answer:
y = 1/5x - 11
Step-by-step explanation:
perpendicular to a line means we flip the slope to opposite of what it is
in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.
Now we just use the same equation to find the y-intercept, which is b.
y = mx + b; m is your slope and b is your y intercept.
use the points given; (5, -10).
-10 = 1/5(5) + b
-10 = 1 + b
-11 = b
now put your equation together since you have all the pieces
y = 1/5x - 11
(c/5+c)-20 You divide the total cost by five to get the tip. You add that to the cost, and the tip and cost added together is the total cost. Subract that from a $20.00 bill and you have the answer! Hope this helps!