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stich3 [128]
3 years ago
15

Question 5

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Answer:

6

Step-by-step explanation:

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A small number of cards have been lost from a complete pack if I deal the rest of the cards amongst four people three cards rema
hram777 [196]
<h3>The number of cards in the deck now is 47.</h3>

Step-by-step explanation:

Let us assume there are a total of m cards and  m< 52.

If cards are divided by 4 the number of cards are left undivided = 3

⇒ 4 K +  3  = m   ( K : Card given to each player)

So,  minimum value of m can be 7

Possible values of m = {7,11,15,....,35,39,43, 47,51} ... (1)

As they all leave 3 cards when divided into 4 people equally.

If cards are divided by 3 the number of cards are left undivided = 2

⇒ 3 S +  2  = m   ( S : Card given to each player)  

So,  minimum value of m can be 5.

Possible values of m = {5,8,11,....,38,41,44, 47,50} ... (2)

As they all leave 2 cards when divided into 3 people equally.

If cards are divided by 5 the number of cards are left undivided = 2

⇒ 5 L +  2  = m   ( L : Card given to each player)  

So,  minimum value of m can be 7.

Possible values of m = {7,12,17,....,37,42, 47} ... (3)

As they all leave 2 cards when divided into 5 people equally.

Now, as we can see in all the three sets, the value of <u>m = 47 is in common in all sets</u>.

Hence, the number of cards in the deck now is 47.

6 0
3 years ago
What is the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx2%7D%7By1%7D" id="TexFormula1" title="\frac{x2}{y1}" alt="\fra
matrenka [14]

Answer:

80

Step-by-step explanation:

Insert the values or x and y into the expression.

\frac{20^{2} }{5} = \frac{400}{5} = 80

7 0
2 years ago
Mr. Jacob arrived at his school at 07:10 and left at 15:45. How long was he in his school?
Makovka662 [10]

Answer:

he stayed 8 hours and 35 minutes

Step-by-step explanation:

15 -7 =8

45-10=35

7 0
2 years ago
What must be true to find the sum of a infinite sequence?
Georgia [21]

Answer:

The series must be decreasing, and the limit as the n-th term goes to infinity should be 0.

3 0
3 years ago
System of equations
nalin [4]

Answer:

The solution of the system of equations is the point (-3,0)

Step-by-step explanation:

we have

-3x+y=9 -----> equation A

2x-y=-6 -----> equation B

Adds equation A and equation B

-3x+y=9\\2x-y=-6\\------\\-3x+2x=9-6\\-x=3\\x=-3

Find the value of y

-3(-3)+y=9

9+y=9

y=9-9=0

The solution of the system of equations is the point (-3,0)

4 0
2 years ago
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