Answer:
a question without an = sign is called an expression
Step-by-step explanation:
Answer: primeter is 20
Area :
Step-by-step explanation:
Height : 4
Base : 6
Prim - 6+6+4+4=20
Area - 6x4=24
Let :
T = Theresa age
H = her brother
We know :
T = H - 14
T + H = 35
Substitute T
H -14 + H = 35
2H - 14 = 35
2H = 49
H = 49/2 = 24.5
Since we know H = 24.5 we then can substitute it to either equation.
T = H - 14
T = 24.5 - 14
T = 10.5
Theresa is 10.5 years old
Her brother is 24.5 years old
The range of it is 90 subtract the greatest # from the least 90-8
We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
