The line is y = x also called the diagonal.
Complementary is 90 so 90-65= the missing angle which is 25
Answer:
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Step-by-step explanation:
Let x represent the number of gallons of the 50% antifreeze solution.
The volume of the 10% antifreeze is = 90 gallons
The volume of the mixture that is 40% antifreeze = 90+x
The amount of antifreeze in the two solutions must be equal to the amount of anti freeze in the mixture;
50% of x + 10% of 90 = 40% of (90+x)
0.50(x) + 0.10(90) = 0.40(90+x)
0.50x + 9 = 36 + 0.40x
Collecting the like terms;
0.50x - 0.40x = 36-9
0.10x = 27
x = 27/0.10
x = 270 gallons
270 gallons of a 50% antifreeze solution must be mixed with 90 gallons of 10% antifreeze to get a mixture that is 40% antifreeze
Answer:
$180
Step-by-step explanation:
Well because it is $27 per hour, you can start with the whole hours:
6*27=162
then because you are working with fractions you can find what 1/3 of 27 is:
27* (1/3)=9
this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.
Then you just add it all up:
162+18=180
