11.275 is the sale price of the hat
<u>Step-by-step explanation:</u>
Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.
Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,
![\text {Markup rate}=\frac{S . P .-C . P .}{S . P .} \times 100](https://tex.z-dn.net/?f=%5Ctext%20%7BMarkup%20rate%7D%3D%5Cfrac%7BS%20.%20P%20.-C%20.%20P%20.%7D%7BS%20.%20P%20.%7D%20%5Ctimes%20100)
![105=\frac{x-5.5}{5.5} \times 100](https://tex.z-dn.net/?f=105%3D%5Cfrac%7Bx-5.5%7D%7B5.5%7D%20%5Ctimes%20100)
![\frac{105 \times 5.5}{100}=x-5.5](https://tex.z-dn.net/?f=%5Cfrac%7B105%20%5Ctimes%205.5%7D%7B100%7D%3Dx-5.5)
![\frac{577.5}{100}=x-5.5](https://tex.z-dn.net/?f=%5Cfrac%7B577.5%7D%7B100%7D%3Dx-5.5)
5.775 + 5.5 = x
Where,
S.P - sale price
C.P - cost price
Therefore, x = 11.275 is the sale price of the hat.
Answer:
Let x be odd such that LCM {x,40} = 1400 .
Since 1400 = 23×52×7 , then
x ∈ {5m×7n∣(m,n) ∈ {0,1,2}×{0,1}} .
By testing these values, we find that x = 175 .
Answer:
16
Step-by-step explanation:
We can list out each of the numbers' prime factors first before deciding their greatest common factor.
16: 2 × 2 × 2 × 2
48: 2 × 2 × 2 × 2 × 3
As you can see the bolded parts, these are the common factors of the two numbers. To find the greatest common factors, we just have to multiply all their common factors together.
Greatest common factor of 16 & 48: 2 × 2 × 2 × 2 = 16
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Process
1.- We can prove that the triangles are congruent.
Two angles measure the same 23°
Two sides measure the same 9
Two angles measure the same the are vertical angles
The third angle measure the same
From this information, we conclude that the triangles are congruent ASA
2.- If the triangles are congruent then x = 6, the sides are congruent