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vovikov84 [41]
3 years ago
11

Writing a two column proof

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

Look at attached screenshot!

Step-by-step explanation:

Really hard to firgure out how to do this so please rate for more!

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A page should have perimeter of 42 inches. The printing area within the page
Tamiku [17]

Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page  would be determined by top and bottom margins of 1 inch from each side, and the  left and right margins of 1.5 inches from each side. let's assume  width of the page be x inches  and its length be y inches So,

Perimeter = 42 inches

⇒ 2(x+y) = 42\\x+y = 21\\y = 21-x

width of printed area = x-3  & length of printed area = y-2:

area = length(width)

area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57

Let's find \frac{d(area)}{dx}:

\frac{d(area)}{dx} = \frac{d(-x^{2}+22x-57)}{dx} = -2x +22 , for area to be maximum \frac{d(area)}{dx}= 0

⇒ -2x+22 = 0\\2x =22\\x=11 inches

And ,

y = 21-x\\y = 21-11\\y = 10 inches

∴ Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

7 0
3 years ago
There are 32 players on the football team in total. If 75% of the students are in seventh grade, how many seventh graders are on
Mars2501 [29]

Answer:

There's 24 seventh graders

8 0
3 years ago
Lisa sold costume jewelry at a bazaar. The first hour she sold 2 bracelets and 3 rings for a total of $36.00 later a customer bo
saw5 [17]
2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

answer: each bracelet costs $9
7 0
3 years ago
Ten times the square of a non-zero number is equal to fifty times the number. what is the number?
lys-0071 [83]
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer
4 0
3 years ago
Write this number in expanded form twenty three thousand four hundred thirty six
jok3333 [9.3K]
20,000 + 3,000 + 400 + 30 + 6
5 0
3 years ago
Read 2 more answers
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