Answer:
4.5 hours
Step-by-step explanation:
8:2h = 18:x
8x = 18×2h
x = 36h/8
x = 4.5
hope this helps :)
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x - y = 0
--------------- - (substract)
-3y = 12
y = 12/-3
y = -4
Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4
The solution
x,y = -4,-4
The answer is D) (-1,-12)
Reason:
1) substitute 2x-10 for y in y=4x-8
2) 2x-10=4x-8
3) -2x-10=-8
4) -2x=2
5) x=-1
6) substitute -1 for x in y=2x-10
7) y=(2)(-1)-10
8) y=-12
Answer
x=-1 and y=-12
Answer:
Step-by-step explanation:
You do not need to where the formula comes from but, just for fun, here’s a hint
To add up the numbers 1 to 10
Write out the numbers
1 2 3 4 5 6 7 8 9 10
Write them backwards
10 9 8 7 6 5 4 3 2 1
Add up both lists
11 11 11 11 11 11 11 11 11 11
This is 10 × 11 = 110
But this is twice the sum as two lots were added together
So the sum of the numbers 1 to 10 is 110 ÷ 2 = 55
ArSeqSum Notes fig4, downloadable IGCSE & GCSE Maths revision notes
Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:
Now we solve this inequation to the highest value of 
that satisfy the inequation:
The Quadratic Formula shows that roots are:
Only the first root is valid source to determine the highest possible value of , which is 
. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.
