Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
Step-by-step explanation:
x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.
Cube root of x^3 is x.
Cube root of 8 is 2
So
a=x
b= 2.
Set these equations equal to zero
If we do the discriminant, we get a negative answer so we would have two imaginary solutions,
Thus the only real root is 2.
If you want imaginary solutions, apply the quadratic formula.
and
Answer:
81 ft
Step-by-step explanation:
1 yard=3ft
27 x 3=81
So the answer is 81 ft
Answer:
6.065; 7.358 ; 6.694
Step-by-step explanation:
Given that, profit is quoted using the function :
R = 2pe ^ -0.1p
(a)
When price 'p' = $5
R = 2(5)e^(-0.1*5)
R = 10e^(-0.5)
R = 10 * 0.6065306
R = 6.065
B)
When price 'p' = $10
R = 2(10)e^(-0.1*10)
R = 20e^(-1)
R = 20 * 0.3678794
R = 7.358
C.)
When price 'p' = $15
R = 2(15)e^(-0.1*15)
R = 30e^(-1.5)
R = 30 * 0.2231301
R = 6.694
To answer this question, you need to subtitute a number for each n. First find the first and then push off of there.
