Answer:
The original price of an item less a discount of 20% is 0.8p where p is the original price
Step-by-step explanation:
Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%
Let the original price of the item be p
The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;
So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p
So let’s take this away from the original price p
That will be;
p - 0.2p = p(1-0.2) = 0.8p
Answer:
Area = 702.9 or 703
Step-by-step explanation:
By Pythagoras the. first, we need to find the base!
(H)2 = (P)2 + (B)2
(82)2 = (18)2 + b2
6724 = 324 + b2
b2 = 6724-324
b2 = 6100
b = √6100
b = 78.1
note - they all are in square
Now, area of the triangle:-
1/2 * b * h
1/2 * 78.1 * 18
= 702.9
Hope it helps!
Answer:
The number of ways is 
Step-by-step explanation:
From the question we are told that
The number of tickets are 
The number of finalist are 
Generally the number of way by which this winners can be drawn and arrange in the order of
is mathematically represented as

substituting values



Hey there!
Palindromes are numbers that can be written the same way backwards, such as 101 and 12321. You're looking for some numbers which are palindromes, and so are their square numbers.
Alright, I'll give you four of those:
- 121 is a palindrome, and its square root is 11, both palindromes. 11 x 11 = 121
- 484 is a palindrome, and its square root is 22, both palindromes. 22 x 22 = 484
- 10201 is a palindrome, and its square root is 101, both palindromes. 101 x 101 = 10201
- 12321 is a palindrome, and its square root is 111, both palinromes. 111 x 111 = 12321
Hope this helps!
Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

Which means that option E is correct.
The <em>volume of a cube</em> of side length l is given by:

For Cube A, the volume is of 9 cubic inches, hence:

![l_a = \sqrt[3]{9}](https://tex.z-dn.net/?f=l_a%20%3D%20%5Csqrt%5B3%5D%7B9%7D)


For Cube B, the volume is of 5 cubic inches, hence:

![l_b = \sqrt[3]{5}](https://tex.z-dn.net/?f=l_b%20%3D%20%5Csqrt%5B3%5D%7B5%7D)

Then, the ratio is:

To learn more about the volume of a cube, you can take a look at brainly.com/question/13030328