The greatest amount of friends he can have is 7
Answer:
C) No, after multiplying 15.5 by 18 you need to divide by 25 to determine the number of boxes.
Step-by-step explanation:
The dimensions of the rectangular room are 15.5 feet x 18 feet. Which is a total area of: 15.5 x 18 = 279 ft².
The tiles being used are 12 inches x 12 inches or 1 foot x 1 foot. Since there are 25 tiles in each box, it can cover an area of 25 ft ².
When doing calculations with measurements, the measurements must be the same. For instance, you can not divide square feet by inches because they are different measurements. However, you can divide by square feet. To the total square footage of the room (279 ft²) can be divided by the amount of square feet covered by each box (25 ft²): 279/25 = 11.16 or a minimum of 12 boxes would be needed.
There are two answers those being x=5 & x=2
explanation in picture
Step-by-step explanation:
<u>Pattern 1</u> :
Arithmetic Sequence
Common term = 4
<u>Pattern 2</u> :
Geometric Sequence
Common ratio = 2
Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).
Let <em>x</em> be the inverse. Then <em>x</em> is such that
23<em>x</em> ≡ 1 (mod 1000)
Use the Euclidean algorithm to solve for <em>x</em> :
1000 = 43×23 + 11
23 = 2×11 + 1
→ 1 ≡ 23 - 2×11 (mod 1000)
→ 1 ≡ 23 - 2×(1000 - 43×23) (mod 1000)
→ 1 ≡ 23 - 2×1000 + 86×23 (mod 1000)
→ 1 ≡ 87×23 - 2×1000 ≡ 87×23 (mod 1000)
→ 23⁻¹ ≡ 87 (mod 1000)
