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schepotkina [342]
3 years ago
15

Alex needs to varnish the top and bottom of a dozen rectangular wooden planks the planks are 8 feet long and 3 feet wide eavh pi

nt of varnish covers 125 square feet and costs $3.50. what is the total area that alex needs to varnish?
Mathematics
1 answer:
Bingel [31]3 years ago
3 0
You start by finding the total sq ft you need to cover so one board is 8x3 so that's 24 then multiply that by the number of boards which is 12 so you get 288 sq ft you need to cover. Then you divide by 125 which is how much one can could cover and you get 2.3 cans but you can't buy a third of a can do you round up to three. The three cans times the price of 3.50 gives you $10.50 as your final answer
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A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 7 articles can be publ
butalik [34]
The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
If order is not of concern, the problem is just a combination problem
14C7 = </span><span>3432 ways</span><span />
7 0
4 years ago
Read 2 more answers
Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi
Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0
3 years ago
Help from 1-3 plz!!!
Mumz [18]
If you mean 3-1 its 2
6 0
3 years ago
What's bigger? (6×5)⁷÷(-3)⁷ or (6×5)⁴÷(-3)⁴​
max2010maxim [7]
The second one is bigger as the square is a even number with the negative whole
7 0
3 years ago
Can someone please help explain 3/24 = 33/?
sweet [91]

Answer:

264

Step-by-step explanation:

because 33 is 11 times 3 so you multiply the 24x11 equal 264

33/264

8 0
3 years ago
Read 2 more answers
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