Answer:
F=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(6−f)−4=3f−4
(3)(6)+(3)(−f)+−4=3f+−4(Distribute)
18+−3f+−4=3f+−4
(−3f)+(18+−4)=3f−4(Combine Like Terms)
−3f+14=3f−4
−3f+14=3f−4
Step 2: Subtract 3f from both sides.
−3f+14−3f=3f−4−3f
−6f+14=−4
Step 3: Subtract 14 from both sides.
−6f+14−14=−4−14
−6f=−18
Step 4: Divide both sides by -6.
−6f−6=−18−6f=3
Answer:
f=3
we have

we know that

so

two solutions
<u>first solution </u>


the first solution is the interval---------> (-1,∞)
<u>second solution</u>




the second solution is the interval---------> (-∞,-1)
therefore
the solution is all real numbers except the number 
the answer in the attached figure
Answer:
98
Step-by-step explanation:
Answer:
The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150
Step-by-step explanation:
Let
x ----> number of liters of 50% antifreeze solution
y ----> number of liters of 90% antifreeze solution
we know that
50%=50/100=0.50
90%=90/100=0.90
80%=80/100=0.80
x+y=200
x=200-y ------> equation A
0.50x+0.90y=0.8(200) -----> equation B
substitute equation A in equation B and solve for y
0.50(200-y)+0.90y=160
100-0.50y+0.90y=160
0.40y=160-100
0.40y=60
y=150 liters
Find the value of x
x=200-y
x=200-150=50 liters
therefore
The number of liters of 50% antifreeze solution is 50
The number of liters of 90% antifreeze solution is 150
Answer:
=
−
8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify