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Alla [95]
3 years ago
7

Money Laundry has 21 washers and 38 dryers. All orders are first sent to wash and then to dry. It takes on average 43 minutes to

wash one order and 50 minutes to dry. a. What is the capacity of the washing stage
Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

29.3 orders per hour

Step-by-step explanation:

Since the washing stage is the first stage of the process, its capacity is not influenced by the drying stage, therefore, the capacity of the washing stage, per hour, is given by the number of washers available multiplied by 60 minutes and divided by the time, in minutes, that each washer takes to complete its order:

C=21*\frac{60}{43}\\C= 29.3\ orders/hour

The capacity of the washing stage is 29.3 orders per hour.

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When 31 times a number is increased by 40 the answer is the same as two 200 is decreased by the number
storchak [24]
x-\ number\\\\
31x+40=200-x\ \ \ | add\ x\\\\
32x+40=200\ \ \ | subtract\ 40\\\\
32x=160\ \ \ \ | divide\ by\ 32\\\\x=5\\\\Number\ is\ 5.
4 0
3 years ago
Which point is on the graph of f(x) = 2*5^x
vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

f(x)=2(5^x)

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

f(x)=2(5^0)\\f(x)=2(1)=2

Compare the value of f(x) with the y-coordinate of the ordered pair

2\neq 0

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

f(x)=2(5^1)\\f(x)=2(5)=10    

Compare the value of f(x) with the y-coordinate of the ordered pair

10=10

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

f(x)=2(5^0)\\f(x)=2(1)=2

Compare the value of f(x) with the y-coordinate of the ordered pair

2\neq 10

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250

Compare the value of f(x) with the y-coordinate of the ordered pair

19,531,250\neq 1

therefore

The ordered pair is not on the graph of f(x)

7 0
3 years ago
A square has an area of 64 square units. A cube has a volume of 64 cubic units. What is the difference in the side length of the
Rina8888 [55]
The formula in solving the area of a square is Area = a² where "a" is for the length of the side. The area formula in solving a cube is Area = 6a² where "a" is for the length of its side.
Area of square = a²
64 = a²
a = 8 units

Area of cube = 6a²
64= 6a²
a = 3.27 units 

The difference of side of the square and side of the cube is shown below:
Difference = 8 - 3.27
Difference = 4.73 units.

The answer is 4.73 units.
4 0
3 years ago
Hamburger buns come in packages of 8. Hamburger patties come in packages of 10.
Vadim26 [7]

Answers/Step-by-step explanation:

A. LCM

B. Greatest Common Factor(GCF) shows the largest whole number, in this case patties and buns, would be a part of the whole that matches both numbers. Neil is unable to buy parts of packages because that not how most stores do business. Least common multiple(LCM) is the number that is both closest in value to the original number while being equal for all numbers. in that case, Neil is buying whole packages so it would work.

C. Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.

3 0
3 years ago
The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the cor
Jet001 [13]

Answer:

A is f ", B is f, C is f '.

Step-by-step explanation:

Your answer is correct.  B is the original function f.  It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative.  It crosses the x-axis at each place where B is a min or max.  C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative.  It crosses the x-axis at each place where C is a min or max.

8 0
3 years ago
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