Answer:
50 % alcohol solution = 10 millimetres
30 % alcohol solution = 90 millimetres
Step-by-step explanation:
two equations can be derived from this question
x + y = 100 equation 1
0.3x + 0.5y = 100 x 0.32 = 32
0.3x + 0.5y = 32 equation 2
where :
x = 30% alcohol solution
y = 50% alcohol solution
multiply equation 1 by 0.3
0.3x + 0.3y = 30 equation 3
subtract equation 3 from 2
0.2y = 2
y = 10
substitute for y in equation 1
x + 10 = 100
x = 100 - 10
x = 90
We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>
How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
If you want to learn more about algebra, you can read:
brainly.com/question/4344214
Answer:
120 degrees.
Step-by-step explanation:
This is a pentagon so the interior angles add up to 540 degrees, so we have:
4x + 4x + 4x + 3x + 3x = 540
18x = 540
x = 30 degrees.
So m < C = 4*30 = 120 degrees.
Answer:
The given system has NO SOLUTION.
Step-by-step explanation:
Here, the given system of equation is:
6 x - 2 y = 5 .......... (1)
3 x - y = 10 .... (2)
Multiply equation 2 with (-2), we get:
3 x - y = 10 ( x -2)
⇒ - 6 x + 2 y = - 20
Now, ADD this to equation (1) , we get:
6 x - 2 y - 6 x + 2 y = 5 - 20
or, 0 = - 15
WHICH IS NOT POSSIBLE as 0 ≠ -15
Hence, the given system has NO SOLUTION.
