Answer:
The two roots of the quadratic equation are

Step-by-step explanation:
Original quadratic equation is 
Divide both sides by 9:

Add
to both sides to get rid of the constant on the LHS
==> 
Add
to both sides

This simplifies to

Noting that (a + b)² = a² + 2ab + b²
If we set a = x and b =
we can see that
= 
So

Taking square roots on both sides

So the two roots or solutions of the equation are
and 

So the two roots are

and

Answer:
The correct option is B. 23%
Step-by-step explanation:
Let the event that patient brushes his teeth at least twice a day is denoted by A
So, P(A) = 0.83
Let the event that patient flosses daily is denoted by B
So, P(B) = 0.47
Now, it is given that 19 percent patients brush at least twice a day and floss daily.
⇒ P(A and B) = 0.19
Now, we need to find conditional probability of occurring event B given A has occurred.

Hence, Nearest required percentage = 23%
Therefore, The correct option is B. 23%
Answer:
x = 5
Step-by-step explanation:
We need to find the value of x in this case.
For this, we need to consider that the triangles are similar. Now, we can find it as follows :

So, the value of x is equal to 5.
<span>part A:
Let
t = total the liquid in the bottle including lemon juice and water
so t = lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1
part B:
from part A, you have equation t = 0.6t +1
solve for t
t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5
2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
Answer:
Step-by-step explanation:
A ratio is comparison between two values in math
1.5 cups of flour : 2 eggs
1.5 cups of flour to 2 eggs
