Answer:

Step-by-step explanation:
Cost of one dress = 
Cost of one pair of shoes = 
Cost of one dress and a pair of shoes is 
They get half off the price because they buy both

The shipping and handling charge is
.
So, the total amount Ruth has to pay is
.
<h2>'
' in the form of
- b.</h2>
Step-by-step explanation:
We have,
+ 8x + 15
To express
+ 8x + 15 in the form of
- b = ?
∴
+ 8x + 15
Adding and subtracting 1, we get
=
+ 8x + 15 + 1 - 1
=
+ 8x + 16 - 1
=
+ 2(x)(4) +
- 1
Using the algebraic identity,

= 
Thus,
in the form of
- b.
Given:
A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.
To find:
The quantity of the 60% solution in the mixture.
Solution:
Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.
Quantity of mixture is 234. So,

...(i)
The mixture has 43% fertilizer. So,

Multiply both sides by 100.
...(ii)
Using (i) and (ii), we get




Divide both sides by -39.


Putting this value in (i), we get


Therefore, 132 liters of the 60% solution must be used.
Answer:
0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.
Step-by-step explanation:
Rain on November 1:
0.9 of 0.6(rain on Oct 31).
0.3 of 0.4(not rain on Oct 31).
Rain on November 2:
Considering rain on November 1, 0.9 probability of rain.
Rain on November 3:
Considering rain on November 2, 0.1 probability of rain.
Find the probability of rain on November 1 and 2, but not on November 3.
Multiplicating the probabilities:

0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.