A 2/10 chance. Add the numbers together and the probability is 2.
Answer:
Step-by-step explanation:
x +2y = 8 ----- (I)
x = 8 - 2y
x - 3y = 6 -------(II)
Substitute x = 8 - 2y in equation (II)
8 - 2y - 3y = 6 {add like terms}
8 - 5y = 6
Subtract 8 form both sides
-5y = 6- 8
-5y = -2
Divide both sides by -5
-5y/-5 = -2/-5
y = 2/5
Substitute y = 2/5 in equation (I)
![x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}](https://tex.z-dn.net/?f=x%2B2%2A%5Cfrac%7B2%7D%7B5%7D%3D8%5C%5C%5C%5Cx%2B%5Cfrac%7B4%7D%7B5%7D%3D8%5C%5C%5C%5Cx%3D8-%20%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B8%2A5%7D%7B1%2A5%7D-%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B40%7D%7B5%7D-%5Cfrac%7B4%7D%7B5%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B36%7D%7B5%7D)
x = 36/5
Answer:
x=12
Step-by-step explanation:
Both these angles are *supplementary* to each other, this means that (10x-20) and (6x+8) will both equal 180 degrees.
1. Add 10x - 20 and 6x + 8 together
By adding them together, you get 16x - 12
2. Since both of them added together would also equal 180, this means that 16x - 12 = 180
3. Use the additive inverse property and add 12 to both sides. This gives you 16x = 192
4. In order to isolate x, divide 16 on both sides.
192/16 = 12
Therefore, x is 12
Answer:
$990 per unit.
Step-by-step explanation:
The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:
![C=\dfrac{R^2}{220000} +3221](https://tex.z-dn.net/?f=C%3D%5Cdfrac%7BR%5E2%7D%7B220000%7D%20%2B3221)
We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is $1,000.
Rate of Change of C,
![\dfrac{dC}{dt}=\dfrac{R}{110000} \dfrac{dR}{dt} \\\dfrac{dC}{dt}=\$9, R=\$1000\\9=\dfrac{1000}{110000} \dfrac{dR}{dt}\\\dfrac{dR}{dt}=9 \div \dfrac{1000}{110000}\\=9 X \dfrac{110000}{1000}\\\dfrac{dR}{dt}=\$990 $ per unit$](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdt%7D%3D%5Cdfrac%7BR%7D%7B110000%7D%20%5Cdfrac%7BdR%7D%7Bdt%7D%20%5C%5C%5Cdfrac%7BdC%7D%7Bdt%7D%3D%5C%249%2C%20R%3D%5C%241000%5C%5C9%3D%5Cdfrac%7B1000%7D%7B110000%7D%20%5Cdfrac%7BdR%7D%7Bdt%7D%5C%5C%5Cdfrac%7BdR%7D%7Bdt%7D%3D9%20%5Cdiv%20%5Cdfrac%7B1000%7D%7B110000%7D%5C%5C%3D9%20X%20%20%5Cdfrac%7B110000%7D%7B1000%7D%5C%5C%5Cdfrac%7BdR%7D%7Bdt%7D%3D%5C%24990%20%24%20per%20unit%24)
The Revenue is changing at a rate of $990 per unit.