Answer:
6,591,024,000
Step-by-step explanation:
Minutes in 24 hours=1,440
number of seconds in 24 hours=60*1440
=86,400..
number of cars made in each second=209
number of cars made in 86,400 seconds= 18,057,600
24 hours =one day
1 year =365 days
cars made in one year =365*18,057,600
=6,591,024,000
therefore, the number of cars made in one year =
6,591,024,000
N = regular rate
1.4n= overtime rate
30n + 5(1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.
30n + 7n = $436.60 now add like terms
37n = $436.60 now divide both sides by 37
n= $11.80
Check to see if my answer is reasonable 30 x 12= 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60 ($436.60)
Written numerically, the number you stated is written as:
5,004,300
Standard Form (Scientific Notation) numbers are written as a decimal (n.m) such that there is [normally] only one digit (n) to the left of the decimal point, and the rest of the number (m) to the right (with a possible limit). If there is only a single digit in the whole number then the value on the right is a zero (n.0).
To show that the value shown has shifted its decimal point position, the number of decimal positions shifted is shown after the number as a 10’s multiplied to the power of the number of positions shifted.
e.g., 102 = 102.0 = 1.02 (decimal point shifted left two places. If smallest digit is 0 then ignore it UNLESS it’s the ONLY digit!!)
1.02*10^2(2 Decimal shift to the left)
1.02*10^2
So, for the number asked in the question:
5,004,300 = 5,004,300.0
Left shift 6 times to largest digit = 5.004300
5.004300 (show the shift multiplier: 10^6)
5.004300*10^6
Answer:
y=-2/3x+3
Step-by-step explanation:
(m)slope :rise over run
(b)y-intercept :where the line crosses the y axis
slope intercept for y=mx+b
Answer:
The carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Step-by-step explanation:
Given:
Amount a carpenter can spend at most = $250
The inequality to represent the amount he can spend on each type of board is given as:
where 
represents '2 by 8 boards' and 
represents '4 by 4 boards'.
To determine whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
Solution :
In order to check whether the carpenter can buy 12 '2 by 8 boards' and 14 '4 by 4 boards' , we need to plugin the 
and 
in the given inequality and see if it satisfies the condition or not or in other words (12,14) must be a solution for the inequality.
Plugging in and in the given inequality
The above statement can never be true and hence the carpenter will not be able to buy 12 '2 by 8 boards' and 14 '4 by 4 boards'.
