Answer:
(1.37) AUB = { 1,2,3,4,5,6}
(1.38) AUC = { 1,2,3,4,5 }
(1.39)BUC = { 1,2,3,4,5,6}
(1.40) { 2,4 }
(1.41) { 1,3,5 }
(1.42) { phi }
(1.43) AU(BUC) = { 1,2,3,4,5,6 }
(1.44) { phi }
(1.45) {1,2,3,4,5}
(1.46) { 1,2,3,4,5 }

Let us assume last year the price of the item = $x.
After increase in price by 15% the new price = x + 15% of x = x+ 0.15x = 1.15x.
There is a 25% discount for employee.
25% of 1.15x = 0.25 × 1.15x = 0.2875 x.
Price after discount = 1.15x - 0.2875 x = 0.8625x.
The employee pays $172.50.
Therefore,
0.8625x = 172.50.
Dividing both sides by 0.08625.

<h3>x=200.</h3><h3>Therefore, last year the price was $200.</h3>
Answer:
Option A
Step-by-step explanation:
The area of the big Square is 216.
the Smaller Square is 9
subtract both of those, you get option A, 207.
have an amazing day!
Given:
The quadratic equation is:

To find:
The solution for the given equation rounded to 2 decimal places.
Solution:
Quadratic formula: If a quadratic equation is
, then:

We have,

Here,
. Using the quadratic formula, we get




Now,



And



Therefore, the required solutions are 1.14 and -1.47.
Answer:
x = 20
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
1 3/4 14
------------ = --------
2 1/2 x
where x is the unknown number.
Converting the mixed numbers to improper fractions, we get:
7/4 14
------ = -----
5/2 x
Here there are two numerators and two denominators. Multiplying all four quantities by 4 will remove some of the fractions:
7 56
------ = -------
10 4x
Cross multiplying, we get:
28 x = 560, or x = 20