Answer:
2000
Step-by-step explanation:
2000 is closer than 3000.
Answer:
this answer will be in your book
Answer:
x = 3
y = 2
Step-by-step explanation:
<u>GIVEN :-</u>
- PQ = 2y + 3
- QR = 4y + 1
- RS = y + 5
- PS = 4x - 3
<u>TO FIND :-</u>
- The values of x & y for which PQRS will be a parallelogram
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a parallelogram , pair of opposite sides are always equal in length.
<u>SOLUTION :-</u>
PQRS will be a parallelogram only when :-
1) Assume that PQ = RS.
![=> 2y + 3 = y + 5](https://tex.z-dn.net/?f=%3D%3E%202y%20%2B%203%20%3D%20y%20%2B%205)
![=> 2y - y = 5 - 3](https://tex.z-dn.net/?f=%3D%3E%202y%20-%20y%20%3D%205%20-%203)
![=> y = 2](https://tex.z-dn.net/?f=%3D%3E%20y%20%3D%202)
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
![=> 4x - 3 = 4y + 1](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%204y%20%2B%201)
(Put y = 2 in the equation)
![=> 4x - 3 = 4 \times 2 + 1](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%204%20%5Ctimes%202%20%2B%201)
![=> 4x - 3 = 9](https://tex.z-dn.net/?f=%3D%3E%204x%20-%203%20%3D%209)
![=> 4x = 9 + 3 = 12](https://tex.z-dn.net/?f=%3D%3E%204x%20%3D%209%20%2B%203%20%3D%2012)
![=> x = \frac{12}{4} = 3](https://tex.z-dn.net/?f=%3D%3E%20x%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%3D%203)
∴ For x = 3 , PS = QR.
<u>CONCLUSION :-</u>
For x = 3 & y = 2 , PQRS is a parallelogram.
Answer:
![Discount = \$19.98](https://tex.z-dn.net/?f=Discount%20%3D%20%5C%2419.98)
Step-by-step explanation:
Given
![Amount = \$49.95](https://tex.z-dn.net/?f=Amount%20%3D%20%5C%2449.95)
![Price\ Off = 40\%](https://tex.z-dn.net/?f=Price%5C%20Off%20%3D%2040%5C%25)
Required
Determine the discount
The discount is calculated by multiplying the price off by the original price:
![Discount = Amount * Price\ Off](https://tex.z-dn.net/?f=Discount%20%3D%20Amount%20%2A%20Price%5C%20Off)
![Discount = \$49.95 * 40\%](https://tex.z-dn.net/?f=Discount%20%3D%20%5C%2449.95%20%2A%2040%5C%25)
Convert % to decimal
![Discount = \$49.95 * 0.40](https://tex.z-dn.net/?f=Discount%20%3D%20%5C%2449.95%20%2A%200.40)
![Discount = \$19.98](https://tex.z-dn.net/?f=Discount%20%3D%20%5C%2419.98)
<em>Hence, the amount of discount is $19.98</em>