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kirill115 [55]
3 years ago
15

Perry can fill a sorter with oranges from the conveyer belt in 10 minutes. While Perry fills the sorter, Gillian takes oranges o

ut of the sorter and puts them in shipping crates. With Gillian taking oranges out of the sorter, it takes 25 minutes for Perry to fill the sorter.
Which of the following can be used to determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges?

A) 1 over 10 minus 1 over x equals 1 over 25
B) 1 over 10 minus 1 over 25 equals 1 over x
C) 1 over 25 minus 1 over x equals 1 over 10
D) 1 over 10 minus 1 over x equals x over 25
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:  The correct option is

A) 1 over 10 minus 1 over x equals 1 over 25

Step-by-step explanation: We are given to select the correct option that can be used to determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.

Let, 'x' minutes be the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges.

We have

Time taken by Perry to fill the sorter with oranges from the conveyor belt

= 10 minutes.

So, in 1 min, the portion of the sorter filled by Perry from conveyor belt is

\dfrac{1}{10}.

While Gillian taking oranges out of the sorter, time taken by Perry to fill the sorter with oranges = 25 minutes.

So, in 1 min, the portion of the sorter filled by Perry is

\dfrac{1}{25}.

Time taken by Gillian to empty the sorter if Perry does not add oranges = x min.

So, in 1 minute, the portion of the sorter emptied by Gillian is given by

\dfrac{1}{x}.

Therefore, the required equation that determine the amount of time it takes for Gillian to empty the sorter if Perry does not add oranges is given by

\dfrac{1}{10}-\dfrac{1}{x}=\dfrac{1}{25}.

Thus, (A) is the correct option.

ladessa [460]3 years ago
5 0
If x is the amount of time Gillian takes,
1/10 - 1/x = 1/25
Therefore, the answer is A
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nlexa [21]

Answer:

Step-by-step explanation:

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid.

Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm (as shown in figure below)

also, To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm

We have to find the number of wax cubes will Devin need in order to make the candle.

Consider Wax cubes of dimension 4 cm by 4 cm by 4 cm

Volume of cube =  (side)³

Thus, Volume of one wax cube is given by = (side)³

Volume of one wax cube  = (4)³= 64 cm³

Now we find the volume of square pyramid.

Volume of square pyramid =

Thus,Volume of given square base with base side 9 cm and height 10 cm is

Area of square = (side)²

Volume of square pyramid =

Volume of square pyramid =

Volume of square pyramid =

thus, the volume of square pyramid is 270 cm³

(approx)

Thus, the number of wax cubes required is 4.21. Rounding it off to the nearest whole number, we will get 5.

Thus,the number of wax cubes required is 5.

7 0
3 years ago
Danielle can run one mile in 8.835 minutes Alex can run 1 mile and 9.75 minutes how much longer in minutes does it take for Alex
hichkok12 [17]

Answer:

0.915 minutes

Step-by-step explanation:

First, take the 9.75 minutes that it takes Alex and the 8.835 minutes it takes Danielle.

Second, line up the numbers annexing zeros as placeholders as needed.

Third, subtract them

9.750

-8.835

-----------

0.915

7 0
3 years ago
Two friends mix blue paint and yellow paint to make batches of green paint, as shown in the tables. Jarrod Cups Blue Cups Yellow
tangare [24]
Jarrod:
 Cups Blue Cups Yellow 
          3             2
 Ian: 
 Cups Blue Cups Yellow
          5              2
 We have that their ratios are:
 Jarrod: 3/2
 Ian: 5/2
 Comparing both ratios:
 Jarrod uses 60% yellow paint and 40% blue paint.
 Ian uses 71.4% yellow paint and 28.4% blue paint.
 Answer: 
 Jarrod: 3/2 
 Ian: 5/2
7 0
3 years ago
Read 2 more answers
Salma Serra purchased a truck. last year she drove the truck 12,340 miles. the fixes costs totaled $1,428 , while variable cost
mario62 [17]

Answer:

20.61952

Step-by-step explanation:

hope it helps

8 0
3 years ago
The following figure is not drawn to scale.
erik [133]

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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