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vfiekz [6]
4 years ago
6

A coin sorting machine can sort a certain number of coins in 15 min a second machine can sort the same number of coins in 30 min

how long would it take both machines working together to do the job?
plz give all the steps that will be marked as the Branilest!!!!!!!!!!!!!!!!!!!!!!!!
Mathematics
1 answer:
padilas [110]4 years ago
7 0

Answer:

10 minutes

Step-by-step explanation:

Let's use the variable x for the amount of coins.

The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.

The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.

If we sum the speeds, we have that the speed will be:

speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10

The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.

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A circle has a radius of 10. An arc in circle has a central angle of 72 what is the length of the arc
BARSIC [14]

Answer:

4π

Step-by-step explanation:

-A circle subtends a total angle of 360 ° from its center.

-The length of an arc is directly proportional to the angle it subtends from the circle's center.

#The arc's length can therefore be calculated as:

C=\pi D=2\pi r\\\\\therefore C=\frac{72\textdegree}{360\textdegree}\times 2\pi \times 10\\\\=4\pi

Hence, the length of the arc is 4π

5 0
3 years ago
Last year, there were 120 students in the<br> marching band. This year, there are 138.
Marrrta [24]

Answer:

dude nice but how is this a question

Step-by-step explanation:

CHARLI VAPES

NO TALENT

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7 0
3 years ago
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Marcus has a bag of cat food that contains 22 1/2 cups.if he feeds his cats a total of 3/4 cup of food per day,how many days wil
Korvikt [17]

Answer:

30 days.

Step-by-step explanation:

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7 0
4 years ago
Alana practice dancing 11/4 hours on Monday 19/8 hours on Wednesday and 2.6 hours on Friday on which day did she practice the cl
liubo4ka [24]

Answer:

On Wednesday

Step-by-step explanation:

In this question, We have Alana practicing for three days. We now need to know in which of the days has she practiced closest to 2 hours. Hence, what we are to do here is simply find which of the practicing hours is nearest to 2hours.

The best thing to do here is to work with minutes. Hence whatsoever fraction we are having would be worked with based on minutes. Let’s do this!

On Monday, she practiced 11/4 hours. This means she practiced 11/4 * 60 minutes = 165 minutes

On Tuesday, practice was for 19/8 hours. This means she had practiced for 19/8 *60 = 142.5 minutes

Lastly, on Wednesday, her practice time was 2.6 hours and that is 2.6 * 60 = 156 minutes

Kindly note that 2 hours is same as 120 minutes. We just need to know which of these minutes is closest to 120 minutes. From what we have, 142.5 is the closest.

This means that her practice on Wednesday is the closest to two hours.

4 0
3 years ago
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The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 45 square inches.
Amiraneli [1.4K]

Answer:

A = \pir^{2}

45 = \pir^{2}

45/\pi = r^{2}

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r = 3.8

3 0
3 years ago
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