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3 years ago

Length of a rectangle is 4 inches less than twice it’s width of the perimeter is 70 inches what’s the dimensions?

1 answer:

3 0

W= width
L= length= 2W-4
Perimeter= 70

FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W

FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22

CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70

ANSWER:
length= 22 inches
width= 13 inches

Hope this helps! :)

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3 years ago

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Step-by-step explanation:

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3 years ago

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How much larger is the bigger faction 3/8, 11/15

natima [27]

Step-by-step explanation:

3/8 and 11/15

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22/30-12/30

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4 years ago

If √2 = 1.414 then the value of 5+√2 / 5-√2 is

Gala2k [10]

Answer:

1.787

Step-by-step explanation:

$\\ \sf \frac{5 + \sqrt{2} }{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} }$

$\\ \sf = \frac{(5 + \sqrt{2}) }{5 - \sqrt{2} } \times \frac{(5 + \sqrt{2}) }{5 + \sqrt{2} }$

$\\ \sf = \frac{25 + 5 \sqrt{2 } + 5 \sqrt{2} + 2 }{( {5})^{2} - ( \sqrt{ {2}})^{2} }$

$\\ \sf = \frac{27 + 10 \sqrt{2} }{25 - 2}$

$\\ \sf = \frac{27 - 10 \sqrt{2} }{23}$

Now putting the value of√2

$\\ \sf = \frac{27 + 10 \times 1.414}{23}$

$\\ \sf = \frac{27 + 14.14}{23}$

$\\ \sf = \frac{41.14}{23}$

$\\ \sf = 1.787$

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3 years ago

An individual chooses a prime number that is less than 13. What is the probability that the number is odd? Write your answer as

baherus [9]

Answer:

4/5

Step-by-step explanation:

Okay, I'm pretty sure about this one! I might be wrong but:

If the number is prime and LESS than 13 (so it can't be 13 either), it's either 2, 3, 5, 7, or 11. Those are 5 numbers in all, and 4 of those are odd. So the fraction would be 4/5!

I might have done this wrong, but I hope it helps!! Have a nice day c:

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3 years ago