Answer:
40 days
Step-by-step explanation:
Let x represent the original production time. Then 70x is the order quantity involved.
When the same order quantity is produced at a rate of 80 items per day for x-5 days, we have the equation ...
70x = 80(x -5)
70x = 80x -400
0 = 10x -400 . . . . . subtract 70x
0 = x -40 . . . . . . . . divide by 10
40 = x . . . . . . . . . . add 40
The original schedule was for production to take 40 days.
Answer:
(a) 1.353 x 10^9
Step-by-step explanation:
Jumping 9 places back to obtain standard form
9514 1404 393
Answer:
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
__
<u>First line</u>:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
__
<u>Second line</u>:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
_____
It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.
Answer:
$298
Step-by-step explanation:
Profit = Income - Cost
2 tires for 35 each, so total cost is 2*35=70. Sold for 65 each, so income is 2*65=130. Profit is 130 - 70 = $60.
3 rims for 75 each, so total cost is 3*75=225. Sold 136 each, so income is 3*136=408. Profit is 408 - 225 = $183.
5 headlight covers for 4 each, so total cost is 5*4=20. Sold for 15 each, so income is 5*15=75. Profit is 75 - 20 = $55.
Total profit = 60 + 183 + 55 = $298
Step-by-step explanation:
we have 8 equally "heavy" batches.
one weighs 3.9 × 10^-10 g
so, the total sample then weighed
8 × 3.9 × 10^-10 = 31.2 × 10^-10 = 3.12 × 10^-9 g