Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
m<1=145°
m<2=35°
m<3=35°
Step-by-step explanation:
m<1=145°
m<2=35°
m<3=35°
The answer is A.
The cost of 25 vases would be $75 (25*3). then x would be the number of flowers she can buy at $2 each before she goes over $275. So, $2x+$75 < $275
Answer:
B. 31.62
Step-by-step explanation:
First, find the distance of the line using the distance formula, 
. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.
x=8.9 because when you square it and divide you get 39.6.. rounded to 40.
