ANSWER
Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
To proof
let us assume that the fluid should be drained and replaced with pure antifreeze be x .
As given
A radiator contains 10 quarts of fluid, 30% of which is antifreeze.
Now write 30% in the decimal form
Now write 60% in the decimal form
After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )
The quantity of antifreeze is
The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
than the equation becomes
solyving
100x +300 - 30x = 600
70x = 300
x = 4.28 quarts (approx)
Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
Therefore the option (c.) is correct .
Yes, it this somehow related to mathematics? Was this a question?
Answer:
These are simultaneous equations.They have to be solved like this:
2x-y=3 -y=3-2x 2x-3= -x
y= -x y= -(3-2x) 3x= 3
y=2x-3 x=1
Step-by-step explanation:
The value of x equals to 1
Answer:
slope(m)=5/4 and
y-intercept (c)=12
Step-by-step explanation:
here,given equation of a line is
5x-4y-1=0...eqn(i)
equation of any line parallel to line(i) is
5x-4y+k=0...eqn(ii)
since,the line(ii) passes through (-8,2)[replacing x=-8 and y=2 in eqn(ii), we get]
5*(-8)-4*2+k=0
or-40-8+k=0
•°•k=48
substituting the value of k=48 in eqn(ii),
5x-4y+48=0 is the required equation of the line.
now,
changing eqn(ii) in slope intercept form we get,
4y=5x+48
or,y=5x/4+48/4
or,y=(5/4)x+12
comparing it into y=mx+c we get,
slope(m)=5/4 and y-intercept(c)=12
Answer:
B
Step-by-step explanation:
The Distributive property says that a(b+c) = ab+ac
In my example you distribute the value on the outside to the things on the inside
In your problem, you have a six on the outside that needs to be distributed to an a and b
1) 6 multiplied by a equals 6a giving you the first part of your answer!
2) 6 multiplied by b equals 6b giving you the second part of your answer!
Dont forget that there is a + sign in between a and b, dont drop it!
Put the two values together to get 6a+6b
Let me know if you have any further questions :)
