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2 years ago

11

Write 75 as a product of prime use index notation when giving your answer

1 answer:

11Alexandr11 [23.1K]2 years ago

6 0

The prime factorization of 75 is 3 × 5 × 5 or 3 x 52.

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Find the range and the interquartile range of the data set represented by the box plot.

N76 [4]

The interquartile range is 4 to 5.5 because where the lines fall that is the different quartile range

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3 years ago

Read 2 more answers

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 .

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4 years ago

It takes Claudia 1/4 of an hour to make a pizza. Claudia has 4 hours to make pizzas. How many pizzas can Claudia make during thi

juin [17]

Answer:

16

Step-by-step explanation:

divide 4 by .25 (or 1/4) and you get 16

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3 years ago

Help me please, you get 50 points. This is easy I just need help

pentagon [3]

Fraction -> Decimal

4/5 = 0.8

1/8 = 0.125

Decimal -> Percent

0.22 * 100% = 22%

0.47 * 100% = 47%

Percent -> Fraction

34% / 100 = 0.34 = 17/50

25% / 100 = 0.25 = 1/4

Fraction -> Percent

1/3 = 0.33... * 100% = 33.3%

2/5 = 0.4 * 100% = 40%

Decimal -> Fraction

0.65 = 65/100 = 13/20

0.4 = 4/10 = 2/5

Percent -> Decimal

81% / 100 = 0.81

4% / 100 = 0.04

Best of Luck!

8 0

4 years ago

9. If LK =MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.

m_a_m_a [10]

Answer:

i think it 15

Step-by-step explanation:

that is what i got

7 0

4 years ago