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3 years ago

Given sets A, B, C, and U, find the elements in A - B'.

Mathematics

1 answer:

SpyIntel [72]3 years ago

8 0

Step-by-step explanation:

note A- b = A n B

so, ( A n B ) = ( 3, 4 )

( A n B )' = ( 0,1,2,5,6,7)

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A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke

defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253 Eqn 1

5x+10y=1595 Eqn 2

Multiplying Eqn 1 by 5

$5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330$

Dividing both sides by 5

$\frac{5y}{5}=\frac{330}{5}\\y=66$

Putting y=66 in Eqn 1

$x+66=253\\x=253-66\\x=187$

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

4 years ago

Consider the following geometric sequence.<br><br> 2, 6, 18, 54,

Kaylis [27]

Answer:

The rule or operation in this sequence is multiplication by 3.

Step-by-step explanation:

2*3=6

6*3=18

18*3=54

and so on...

7 0

3 years ago

Zeus Industries bought a computer for $2730. It is expected to depreciate at a rate of 30% per year. What will the value of the

Lostsunrise [7]

The price will be $655.47 after four years

6 0

3 years ago

Camryn practices the trumpet every 11^\text{th}11

Snowcat [4.5K]

Answer:

in 33 days

Step-by-step explanation:

Trumpet practice is every 11 days. Flute practice is every 3 days.

You need the Least Common Multiple (the LCM) of the two numbers, 3 and 11.

Since 3 and 11 are prime, the LCM of 3 and 11 is their product.

LCM = 3 * 11 = 33

Answer: in 33 days

You can also solve this by listing multiples of 3 and 11 until you find the smallest number that is a multiple of both 3 and 11.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, ...

Multiples of 11: 11, 22, 33, 44, ...

The smallest multiple of both 3 and 11 is the smallest number that shows in both lists. It is 33.

4 0

3 years ago

Read 2 more answers

Assuming that a cheese sandwich consists of 2 slices of bread and 3 slices of cheese, determine the number of whole cheese sandw

pav-90 [236]

If we are to consider the number of slices of bread first,

number of sandwiches = (28 slices of bread)(1 sandwich/ 2 slices of bread)
number of sandwiches = 14 sandwiches

If we are to consider the number of slices of cheese

number of sandwiches = (45 slices of cheese)(1 sandwich / 3 slices of cheese)
number of sandwiches = 15 sandwiches

Since, 14 is smaller than 15 then, 14 is the answer.

<em>Answer: 14 sandwiches</em>

7 0

3 years ago

Read 2 more answers

Given sets​ A, B,​ C, and​ U, find the elements in A - ​B'.

Given sets A, B, C, and U, find the elements in A - B'.