MATHEMATICS HIGH SCHOOL

simplify complex fraction

3/4 + 1/3/1/6 + 3/4

Answers

Answer 1
Answer: = (3/4 + 1/3)/(1/6 + 3/4)
= (3/4 + 1/3)/(1/6 + 3/4)
 Multiply numerator and denoiminator by 12
=12(3/4+1/3) / 12(1/6 + 3/4)
= (3*3 + 1*4) / (2 + 3*3)
= 13/11

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Lucas is making accessories for the soccer team, he uses 685.85 of fabric on headbands for 41 players and 2 coaches. He also uses 353.83 inches of fabric on wristbands for the just the players. How much fabric was used on a headband and wristband for each player?

Answers

15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.

Step-by-step explanation:

Fabric used for headbands = 685.85 inches

No. of players = 41

No. of coaches = 2

Total = 41+2 = 43

Fabric used for one headband = (Fabric\ used)/(Total)

Fabric used for one headband = (685.85)/(43) = 15.95\ inches

Fabric used for wristbands = 353.83 inches

No. of players = 41

Fabric used for one wristband = (Fabric\ used)/(No.\ of\ players)

Fabric used for one wristband = (353.83)/(41) = 8.63\ inches

15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.

Keywords: division, unit rate

Learn more about division at:

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1. Which events are dependent? I. flipping a coin multiple times II. picking even numbers,with replacement. III. picking odd numbers,without replacement. A. I only B. III only C. I and II D. II and III. 2.Which events are independent? I. flipping a coin multiple times II. picking coins, with replacement III. picking coins ,without replacement. A. I only B. II only C. I and II D. II and III and last one A spinner numbered 1 through 8 is spun 3 times. what is the probability of spinning an even number, then an odd number, and then an 8? Write your answer as a decimal. do not round. Please help me

Answers

1). Flipping a coin or picking a number are not dependent.  The probability
of the result is the same every time.  It only changes if you leave out what
you picked the first time, because then the total number of possibilities is
different.
With this reasoning, they might say that iii. is dependent because you
don't replace what you draw the first time.  I'm not comfortable with that.
Sure, you don't replace the first number you picked, but how many odd
numbers are left ?  Still an infinite number.
So I think iii. is the answer they want here, but I don't think any of the
choices is really dependent.  

2). By the same reasoning, i. and ii. are independent.  The coins have
no memory.  They don't remember what happened last time.

3).  The probability of any result is

                              (number of successes)/(number of possibilities).

Total number of possibilities each time is 8.

Probability of an even number (2, 4, 6, or 8) the first time = 4/8 = 0.5

Probability of an odd number (1, 3, 5, or 7) the second time = 4/8 = 0.5

Probability of an 8 the third time = 1/8 = 0.125 .

Probability of all 3 events = (0.5) x (0.5) x (0.125) = 0.03125  (3.125%)
 

if it takes juwan exactly 35 minutes by car to get to his grandmother's. the nearest parking area is a 4-minute walk from her apartment.one week, he realized that he spent 5 hours and 12 minutes traveling to her apartment, and then back Home. how many round trips did he make to visit his grandmother's?

Answers

He made 4 round trips to visit his grandmother.

Further Explanation

Step 1

Amount of time he spent to get to his grandmother’s = 35 minutes and extra 4-minute walk (and can be expressed as 35 + 4)

= 35 + 4  

= 39

Step 2

To complete a round trip, the amount of time he spent to his grandmother’s will be multiply by 2

Therefore,

= 39 x 2

= 78

Total amount of time of a round trip = 78

Step 3

Amount of time he spent on a trip to her apartment and back home = 5 hours and 12 minutes

To determine that, 5 hours will be added to 12 minutes

Therefore,

Since 1 hour = 60,

Then, (5 x 60) +12

= (5 x 60) + 12

= 300 + 12

= 312

Amount of time he spent on a trip to her apartment and back home = 312

Step 4

To determine how many round trip he made, the amount of time he spent on a trip to her apartment and back home (312) will be divided by the total amount of time of a round trip (78) i.e. 312 ÷ 78

= 312 ÷ 78

= (312)/(78)

= 4

Therefore Juwan made a total of 4 round trips to his grandmother’s place.

LEARN MORE:

KEYWORDS:

  • juwan
  • apartment
  • 4-minute walk
  • grandmother
  • parking area
  • round trips
1 Round Trip = 2(35 min + 4 min) = 78 min

Total time spent travelling:
(5 hrs * 60 min/hr) + 12 min = 312 min

Number of Round Trips:
(312 min)/(78 min) = 4 round trips

What is 307,495 rounded to the nearest thousand and how do I figure it?

Answers

307,000
Because 4 is less than 5

Hope I Helped You!!! :-)

Have A Good Day!!!
307.000
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What numbers add to one and multiply to negative twelve

Answers

4 and negative 3. is the answer

8n + 2 = 5n + 11 , does anyone one know the answers

Answers

Answer:

n=3

Step-by-step explanation:

8n + 2 = 5n + 11

Subtract 5n from each side

8n-5n + 2 = 5n-5n + 11

3n+2 = 11

Subtract 2 from each side

3n+2-2 = 11-2

3n = 9

Divide by 3

3n/3 = 9/3

n =3

Answer:

n=3

Step-by-step explanation:

Let's do the algebra step-by-step.

8n+2=5n+11

 -2       -2

8n=5n+9

-5n   -5n

3n=9

/3  /3

n=3

Hope this helps :D

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