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nekit [7.7K]
2 years ago
4

Maverick has a 12 three fourths foot-long streamer to decorate a hallway at his school he cuts off 3/8 of a foot from each end t

o make it fit the hallway his principal asked him to make another shimmering that is 5/6as long how long is the new streamer
Mathematics
1 answer:
NARA [144]2 years ago
7 0
So we have to subtract from the original length:
(12 three fourths foot) - (3/8 of a foot<span>) - (</span><span>3/8 of a foot</span><span>) - (5/6 foot)
= (12 3/4) - 3/8 - 3/8 - 5/6
= (48/4 + 3/4) - 6/8 - 5/6
= 51/4 - 3/4 - 5/6
= 48/4 - 5/6
= 12 - 5/6
= 72/6 - 5/6
= 67/6
that is the new streammer length 67/6 foot or 11 1/6 foot</span>
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What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
torisob [31]

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

     = GJ+(HK-HJ)

     = 4x+2+((6x-1)-x)

     = 4x+2+6x-1-x

     =  

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

      =9(4)+1

       =36+1

       =37

find GH and JK=?

Given:

GK=37

Formula:  

GH = GJ-HJ

      = 4x+2- x

      = 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

      = 3(4)+2

      = 12+2

      = 14

Formula:

JK= HK-HJ

    = 6x-1- x

    = 5x-1

put the value of x in the above equation:

     = 5(4)-1

     = 20-1

     =19

8 0
2 years ago
The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion1 in 2015. Find an exponential function to model the reven
Rus_ich [418]

r = continuous growth rate

revenue t years after 2013 = 54.5×10⁹×e^(rt)

74.6×10⁹ = 54.5×10⁹×e^(2r)

e^(2r) = 74.6/54.5

2r = ln(74.6/54.5)

r = ½ln(74.6/54.5) ≅ 0.15697 = 15.697% per year

Hope this helps!

6 0
2 years ago
The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
2 years ago
Evaluate variable expressions involving integers
murzikaleks [220]
What are the expressions
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2 years ago
Which pairs of rectangles are similar polygons?<br><br> Select each correct answer.
oee [108]
The corrects answers are B and D for this one. 

Since you divide the same side for both the the rectangles on both parts and if the division statements are equaled, then they are similar. 

For example; 

Answer B. 
50 / 10 = 5 
and 
30 / 6 = 5 

Answer D. 
7.5 / 2.5 = 3
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4.5 / 1.5 = 3 

Since they both equal the same for both of the rectangles for the answers individually, they are similar polygon rectangles. 

Hope this helps! 

<em>~ ShadowXReaper069</em><em />
8 0
2 years ago
Read 2 more answers
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