Answer:
b would be the awnser
Step-by-step explanation:
im guessing
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:
EH
Step-by-step explanation:
All you have to do is look at the order of the letters/segments and line them up. Like:
ABCD
EFGH
AB AND EF ARE PROPORTIONAL.
Answer: See explanation
Step-by-step explanation:
Number of marbles = 400
Anthony sells 1/4 of the marbles to Jayveon. This will be:
= 1/4 × 400
= 100 marbles
Anthony gives 10% to Abdul. Abdul will have:
= 10% × 400
= 0.1 × 400
= 40 marbles
He gave 10 marbles to his little brother.
The number of marbles that Anthony has left will be:
= 400 - (100 + 40 + 10)
= 400 - 150
= 250 marbles
Answer:
A. 605 mL of the 35% solution
B. 55 mL of the 95% solution
Step-by-step explanation:
It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.
Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.
So,
Amount equation: 
...(1)
Alcohol equation : 
...(2)
On solving (1) and (2), we get
Now, substitute y=55 in (1).
Therefore, we need 605 mL of the 35% solution and 55 mL of the 95% solution.
