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Scorpion4ik [409]
3 years ago
11

Heather is a cashier and she can ring up 36 customers in 24 minutes. At this rate how many minutes does it take to ring up 6 cos

tumers ?
Mathematics
2 answers:
Jet001 [13]3 years ago
3 0

Answer: 4

Step-by-step explanation:

Let's make a table.

So we know that for 24 minutes, Heather can ring up 36 customers. Now, to get 6 customers, you need to divide 36 by 6.

So

36 = 24

/ 6    /6

_______

6 = <u>4</u>

qwelly [4]3 years ago
3 0

Answer:

4 minutes

Step-by-step explanation:

36 and 24 are both factors of 6.

So since you have 6 costumers you divide 36 by 6 to get the 6 costumers.

Then you do the same thing with 24. 24 divided by 6 = 4. (Your answer.)

Hope this helps! <3

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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same product
gregori [183]

Answer:

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     x_4 \le W_4 *  s_4

    x_4 \le 5000 *  s_4

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     x_6 \le W_6 *  s_6

     x_6 \le 8,000 *  s_6

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     x_4 \le W_4 *  s_6

=>   x_4 \le 5000 *  s_6

     x_4 \le W_6 *  s_4

=>    x_4 \le 8000 *  s_4

     s_4 + s_6 = 1

The minimum cost of production for next week is  

   U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6

=>  U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6

Step-by-step explanation:

The cost for the four cylinder production line is  C_4 =  \$2,100

The cost for the six cylinder production line is  C_6 = \$3,500

The manufacturing cost for each four cylinder is  M_4= \$13

 The manufacturing cost for each six cylinder is M_6= \$16

  The weekly production capacity for 4 cylinder connecting rod is W_4 = 5,000

   The weekly production capacity for 6 cylinder connecting rod is W_6 = 8,000

Generally the constraint that sets next week are shown below

Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder  to  W_4 or  0 is  

     x_4 \le W_4 *  s_4

    x_4 \le 5000 *  s_4

Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder  to  W_6 or  0  is  

     x_6 \le W_6 *  s_6

     x_6 \le 8,000 *  s_6

Generally the constrain that limits the production of connecting rods  for both 4 cylinder and 6 cylinders  is

     x_4 \le W_4 *  s_6

=>   x_4 \le 5000 *  s_6

     x_4 \le W_6 *  s_4

=>    x_4 \le 8000 *  s_4

     s_4 + s_6 = 1

The minimum cost of production for next week is  

   U  =  M_4 *  x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6

=>  U  =  13x_4 + 16x_6 + 2000 s_4 + 3500 s_6

3 0
3 years ago
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over
solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0
3 years ago
Equation of the line which passes through the points (8,4) and (-8,7)
FromTheMoon [43]

Step-by-step explanation:

y-7/4-7=x+8/8-8

-y+7/3=0

y=7

8 0
3 years ago
ALGEBRA 1 <br><br> Order the numbers from Leary to greatest <br><br><br> 2.5 , 5/3 , sqrt 9/4 sqrt 5
tamaranim1 [39]

Answer:

2.5, √5, 5/3, √9/4

Step-by-step explanation:

√5 = 2.236

5/3 = 1.667

√9/4 = 0.75

5 0
3 years ago
Is 0.1212212221222 a rational or irrational number?
solmaris [256]

Answer:

it is a irrational number

5 0
3 years ago
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