Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
Answer:
Y= - 5
X=0
Y=1-x. Intercept. Put x=0
X=1-y.intercept.put y=0
Slope = y-y1/x-x1 =0+5/0-0 = not answer Undecided value
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°
We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
Answer:
1/2
Step-by-step explanation:
Given that:
3/4 of pizza has pepperoni
2/3 of the pizza with pepperoni has green pepper ;
The fraction of the whole pizza that has both pepperoni and green pepper ;
Fraction with pepperoni = 3/4
Fraction of whole with green pepper and pepperoni : 2/3 of 3/4 = 2/3 * 3/4 = (2*3) / (3*4) = 6/12 = 1/2
