There are two ways in
finding the place value of 2 in 5,670,249,114
First by breaking down the numbers:
5,670,249,114 = 5,000,000,000 +
600,000,000 + 70,000,000 + 200,000
+ 40, 000 + 9,000 + 100 + 10 + 4
which means the Value of 2
is 200, 000<span>2. Second, by using the ones words:
5,670,249,114 = 5 billion + 6 hundred million + 70 ten million + 2 hundred thousand + 4 ten thousand + 9
thousands + 1 hundreds + 1 tens + 4 ones
which means the Value of 2 is 2
hundred thousand
You essentially want the smallest integer solution to ...
60x ≥ 350
x ≥ 350/60
x ≥ 5 5/6
The smallest integer solution to this is x = 6.
The minimum number of lengths of hose needed is 6.
_____
Informally, you know that dividing the required total length by the length of one hose will tell you the number of required hoses. You also know the ratio 350/60 is equivalent to 35/6 and that this will be between 5 and 6. (5·6 = 30; 6·6 = 36) The next higher integer value will be 6.
· Perpendicular lines have slopes that are opposite reciprocals of each other
· Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
If the slope of the first line is 3, the slope of the second line is -1/3. Since the lines intersect at the origin, neither of them have a y-intercept.
