Given :


Now, Substituing the value of y in equation (ii) :








Now, substituting the value of x in equation (i) :




Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
Alright, so since I don't have an example question, I will make one up.
there are 8 coins in total. there are 6 dimes. What is the fraction of dimes to coins.
you would put the amount of dimes on the top and the total on the bottom.
Answer: 6/8 which can be simplified to 3/4
Or another Example:
There are 12 pieces in the pizza. Billy took 4. what is the fraction of the slices left.
it would be 4-12= 8
Answer: 8/12 which can be simplified to 4/6 and then to 2/3
Hope that helped.
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:
7 hours
Step-by-step explanation:
Step one:
given data
let the total charges be y and the number of hours be x
Company A charges
$60 reservation fee plus another $15 per hour.
so
y=60+15x----------1
Company B charges
$25 reservation fee plus another $20 per hour
y=25+20x------------2
Step two:
equate the 2 expressions above we have
60+15x=25+20x
collect like terms
60-25=20x-15x
35=5x
divide both sides by 5
x= 35/5
x= 7 hours