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puteri [66]
3 years ago
9

There are 11 people in line at a checkout counter. The first person in line is currently being helped and will stay at the front

of the line. The person at the back of the line is chatting with someone who is still shopping and will stay at the back of the line. How many different ways can the other shoppers in line be​ ordered?
Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

362880

Step-by-step explanation:

You have to subtract the two people who are already doing something in line so you would do 11-2 which equals 9. Then you would do 9 mPr 9 which gives you an answer of 362,880.

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Greg budgeted carefully and by the time he turned 30 his retirement account balance was $22,000. If that amount grew at a rate o
Ratling [72]

Answer:

$618,253.61

Step-by-step explanation:

30 to 65 is 35 years

22000 × (1 + 10/100)³⁵

22000 × 1.1³⁵

618253.6107

6 0
3 years ago
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
⦟KLJ and ⦟JLM are a linear pair. Find the measures of ⦟KLJ and ⦟JLM.
KATRIN_1 [288]

Answer:

Step-by-step explanation:

6x + 12 + 4x + 8 =  180 {Linear pair}

6x + 4x + 12 + 8 = 180 {Combine like terms}

         10x + 20  = 180   {Subtract 20 from both sides}

              10x =  180 - 20

             10x  = 160    {Divide both sides by 10}

               x = 160/10

                x = 16

m∠KLJ = 6*16 + 12

            = 96 +12

            = 108

m∠JLM = 4*16 + 8

            = 64 + 8

            = 72

8 0
2 years ago
Read 2 more answers
PLEASE HURRY!!!!
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Answer:

i think its 19 minunts i could be wrong but if not i hope this helps

Step-by-step explanation:

3 0
2 years ago
What is the least common multiples between the following fractions: 1/4 and 1/8
DENIUS [597]

Answer:

lcm

Step-by-step explanation:

2 will be the LCM whereas both denominator we can divide by 2

4 0
2 years ago
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