Answer:
The answer is that both plans are equal.
Step-by-step explanation:
you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:
plan A - 25 + 8M
plan B - 5 + 12M
25 + 8M = 5 + 12M
Then you solve which looks like this:
25 + 8M = 5 + 12M
-8M -8M
25 = 5 + 4M
-5 -5
20 = 4M
/4 /4
5 = M
Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:
25 + 8(5) = 5 + 12(5)
25 + 40 = 5 + 60
65 = 65
They are equal. Both plans will cost 65 dollars.
Answer: 6x + 15
Step-by-step explanation: The distributive property tells us that if we are given an expression such as 3(2x + 5), we can multiply the 3 by both the 2x and the 5 to get 6x + 15.
My work is also shown below.
Answer:
The pyramid's surface area is 78 square centimeters
Step-by-step explanation:
The formula of the surface area of a pyramid is S.A = A + p s, where
- A is the area of its base
- p is the perimeter of its base
- s is the slant height of it
∵ The area of the base of a triangular pyramid is 28 cm²
∴ A = 28 cm²
∵ The perimeter of the base is 20 cm
∴ p = 20 cm
∵ The he slant height is 5 cm
∴ s = 5 cm
- Substitute these values in the formula of the surface area
above to find it
∵ S.A = 28 + (20)(5)
∴ S.A = 28 + 50
∴ S.A = 78 cm²
The pyramid's surface area is 78 square centimeters
Answer:
Step-by-step explanation:
Given that Anna has a flush, this means that the three shared cards and the 2 cards with Anna has the same suit, therefore given this condition the probability that Brad also has a flush is computed here as:
= Probability that Brad has the same suit cards as those shared cards and Anna
= Probability that Brad selected 2 cards from the 8 cards remaining of that suit
= Number of ways to select 2 cards from the 8 cards of that same suit / Total ways to select 2 cards from the remaining 47 cards
= 0.0259
Therefore 0.0259 is the required probability here.
the little calculation is shown in the picture attached