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Burka [1]
2 years ago
10

Consider a collection of pennies with the following constraints: When the pennies are put in groups of 2 there is one penny left

over. When they are put in groups of three, five and six there is also one penny left over. But when they are put in groups of seven there are no pennies left over. How many pennies could there be?
Mathematics
1 answer:
Kipish [7]2 years ago
6 0

Answer:

91 pennies.

Step-by-step explanation:

It is given that 5 types of groups of pennies: group of 2, group of 3, group of 5, group of 6, and group of 7. If the pennies are arranged in the groups of 7, no pennies are left over. This means that the number of pennies has to be a multiple of 7 in order to satisfy this constraint. In the rest of the groups, there will always be 1 penny remaining without any remaining. This means that the number of pennies will yield the remainder of 1 if it is divided by 2, 3, 5, and 6. Possible multiples of 7:

0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98...

The number which satisfies the above conditions is 91. Since 91 divided by 7 is 13 and if 91 is divided by other numbers, the remainder will always be 1. Therefore, there are 91 pennies!!!

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Luden [163]

Answer: Hence, there is 92.34% of criminals pled guilty.

Step-by-step explanation:

Since we have given that

Total number of criminals = 1032

Number of criminals plead guilty = 953

We need to find the percentage of criminals pled guilty.

So, % of criminals pled guilty is given by

\dfrac{953}{1032}\times 100\\\\=\dfrac{95300}{1032}\\\\=92.34\%

Hence, there is 92.34% of criminals pled guilty.

3 0
3 years ago
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ale4655 [162]

Answer:

The answer is option A

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Step-by-step explanation:

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if the radius is 6 meters, C is

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5 0
3 years ago
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Car rental company chargers it’s customers an initial fee of 30$ plus daily charge of 25$ to rent a car . Jacob has a budget of
nignag [31]

Answer:

Jacob can rent a car for 6 days with $20 left to spare.

Step-by-step explanation:

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3 years ago
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Which of the following equations is an example of inverse variation between variables x and y ?
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a) y = 15 x is an example of direct variation, with proportionality constant = 15

b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)

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d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15 
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2 years ago
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What is m∠BEC ?<br><br><br> Enter your answer in the box.
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We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles

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6(20)-8
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Hope this helps!
8 0
2 years ago
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