-4(-5-b)=1/3(b+16) Multiply both sides by 3 to get rid of the fraction
-12(-5-b)=b+16 distribute the -12 to get rid of the parenthesis
60+12b=b+16 get the b on the left side and non b values to the right side
11b=-44 solve for b
b=-44/11 simplify the fraction
b=-4
3/5(t+18)=-3(2-t) multiply both sides by 5/3 to get rid of thefraction
t+18=-5(2-t) distribute the -5 to get rid of the parenthises
t+18=-10+5t get the t to the left side and non t values to the right
-4t=-28 solve for t
t=7
1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)
Step-by-step explanation:
If sine theta is 3/5, taking the sine inverse will give you 36.87°.
4tan theta is 4 × tan36.87 = 3
3sin theta = 3 × sin36.87 = 1.8
6cos theta is 6× cos36.87 = 4.8
Therefore, it becomes 3 + 1.8 - 4.8 = 4.8 - 4.8
The answer is 0
Answer:
1.25 gallons of alcohol
Step-by-step explanation:
Let x represent the amount of alcohol to add to the mix. Then the total amount of alcohol in the mix is ...
0.15×20 + x = 0.20×(20 +x)
3 +x = 4 + 0.2x . . . . simplify
0.8x = 1 . . . . . . . . . . add -3-0.2x
x = 1/0.8 = 1.25 . . . . divide by 0.8
1.25 gallons of alcohol should be added to make 21.25 gallons of 20% alcohol.
