Answer:
Step-by-step explanation:
4.5C
Answer:
Step-by-step explanation:
By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.
In other words:
In this triangle the length of the side adjacent to the 55 degree angle is x, and the length of the hypotenuse is 20
So:
Now we solve the equation to find the value of x
Finally
X= # gallons of pure water that should be evaporated
The total amount of salt must be equal before and after evaporation.
STEP 1
BEFORE EVAPORATION: multiply the percent of salt in the solution before evaporation by the total gallons of solution
= 12% * 160 gallonsconvert 12% to decimal form (12% ÷ 100)
= 0.12 * 60
STEP 2
AFTER EVAPORATION: subtract the number of gallons of pure water that should be evaporated from the total number of gallons of the solution and multiply by the percent of salt in the solution after evaporation
= 20% * (160 - x)convert 20% to decimal form (20% ÷ 100)
= 0.20(160 - x)
STEP 3
Set the before & after evaporation equations equal to one another to solve for x.
0.12 * 160= 0.20(160 - x)multiply 0.20 by each term in parentheses
19.2= (0.20 * 160) + (0.20 * -x)multiply in parentheses
19.2 = 32 - 0.20xsubtract 32 from both sides
-12.8= -0.20xdivide both sides by -0.20
64 gallons= x
CHECK:substitute x= 64 into the step 3 equation
0.12 * 160= 0.20(160 - x)19.2= 0.20(160 - 64)subtract in parentheses19.2= 0.20(96)19.2= 19.2
ANSWER: 64 gallons of pure water should be evaporated.
Hope this helps! :)
Answer:
6
Step-by-step explanation:
24 = 2L + 2(6), multiply...
24 = 2L + 12, subtract 12 to both sides...
12 = 2L, divide 2 to both sides to isolate the varibale L
6 = L
Therefroe, L = 6
He can make 4 outfits why?
Because he only has 4 pants and he can change his shirt but with the same pants and they can use their shoes everyday!