Answer:
Step-by-step explanation:
|4x + 3| = 9 + 2x
We see the absolute value so we have to consider 2 cases:
(1)
4x + 3 = -9 - 2x
6x = -12
x = -2
(2)
4x + 3 = 9 + 2x
2x = 6
x = 3
Let's plug in both results.
|4(-2) + 3| = 9 + 2(-2)
|-5| = 9 - 4
5 = 5
Therefore x = -2 is a solution
|4(3) + 3| = 9 + 2(3)
|15| = 9 + 6
15 = 15
Therefore x = 3 is also a solution.
1) Volume of the box = 90*45*45=<span>182250 cm³
2) filled with soil = 0.85*</span>182250= <span>154912.5 cm³
3) </span>182250 cm³-154912.5 cm³=<span>27337.5 cm³ not filled
4) </span>27337.5 cm³/28316 cm³=0.9654 ≈ 1 bag
Answer:
Based on information provided the only line item that falls in the Operating Cash Flow is Reduction in Net Working Cash Flow. Capital Spend comes under Investing Cash Flow. Debt, Interest payment, Dividend payment and capital surplus come under Financing Cash flow.
A reduction in net cash flow increases the cash flow for the company. Thus the OCF equals +$94,300 for the company.
Step-by-step explanation:
Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 . Divide 360 by 2 and you get 180.
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
