Can you answer the riddle

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

Answers

Answer 1

Answer:

1) The first filter to use is that if dealt between 5 people, there are 2 cards left over:

=> the number of cards must end in 2 or 7.

2) But if dealt between 4 people, 3 cards remain:

=> it is not possible for the number of cards to end in 2 as there cannot be a remainder of 3 with any even number, hence number must end in 7.

3) If the cards are dealt between 3 people to give n cards each, then 2 cards remain:

If 3n+remainder 2 ends in 7

=>3n ends in 5.

4) If 3n < 50 then the only possible numbers for 3n are 15 and 45.

We are told that a small number of cards are lost, so check 3n=45:

3n+ remainder 2= 47, and we are told that dealing between 4 leaves remainder 3:

47/4+= 11 remainder 3.

Hence the number of cards is 47.

Answer 2

the number of cards lost are 5 and the cards left are 47.

Step-by-step explanation:

We are given that certain number of cards are lost.

When divided among the four people, 3 cards are remaining. This implies that the number of cards lost may be 1,5 or 9 then only we will get the 3 cards left. Going by this approach, the number of cards available should be 52–1=51; 52–5=47; 52–9=43

Case 1: when one card is lost (available cards will be 51)

When 51 cards are divided among four people will give 3 remainders (48+3) which satisfies the given condition.

When 51 cards are divided among three people will give no remainder. But we expect the remainder to be 2. So, this case cannot be true.

Case 2: When 5 cards are lost (available cards will be 47)

When 47 cards are divided among four people will give 3 as remainder (44+3) which satisfies the given condition.

When 47 cards are divided among three people will give 2 as remainder (45+2) which satisfies the given condition.

When 47 cards are divided among five people will give 2 as remainder (45+2) which satisfies the given condition.


Related Questions

2x+3y=12

Complete the missing value in the solution to the equation.


( 8)

Answers

Answer:

x=-6 if y=8

Step-by-step explanation:

First, plug in 8 for y then solve:

2x+3(8)=12

2x+24=12

Next, subtract 24 from each side:

2x+24=12

2x-24=-24

2x=-12

x=-6

Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion is possible, write no valid conclusion

1. If a dog eats Superdog Dog Food, he will be happy. Rover is happy.

2. If an angle is supplementary to an obtuse angle, then it is acute. If an angle is acute, then it’s measure is less than 90.

3. If an angle is a right angle, then the measure of the angle is 90. If two lines are perpendicular, then they form a right angle.

4. If the measure of
5. If you study for the test, then you will receive a high grade. Your grade on the test is high.

Answers

Answer:

unknown

Step-by-step explanation:

this question is gramaticaly and mentally incorryect please check it forfurther notice

Evaluate the function.
f(x) = -3.x2 - 6x +1
Find f(8)

Answers

Answer:

-50.82

Step-by-step explanation:

((0−3.82)−6×8)+1

(-3.82−6×8)+1

(-3.82−48)+1

-51.82+1

-50.82

Will give BRAINLEIST (idk how to spell it)




What is an equation for the line parallel to y=-3x+2 that passes through
(3,1)

Answers

Answer:

-7

Step-by-step explanation:

-7 i think im not sure correct me if im wrong

Help I’ll give brain list for the right answer

Answers

Answer:64

Step-by-step explanation:

First, add 6 to both sides, 16=u/4

Then, multiply both sides by 4, 64=u

What is the slope of the line?
10
15
20
25

Answers

Answer:

[tex]m=15[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{6-3}{0.4-0.2}[/tex]

[tex]m=\frac{3}{0.2}[/tex]

[tex]m=15[/tex]

helppp ill mark u as brain list​

Answers

Answer:

The answer would be (C)

Answer:

C is the answer

Step-by-step explanation:

C is the answer I think

A line parallel to y = x - 7

Answers

Answer:

y = x - 10, y = x, y = x + 1, y = x - 37,654,356, which are just a few examples

Step-by-step explanation:

There are infinite solutions to this, but one of them is y = x - 10. Just change the y-intercept in this equation, then you can see that the lines never touch, and are parallel, which is what we want.

The cost of four brands of spray paint are listed in the table below. Which brand of spray paint costs the least per ounce?

A: Brand K (4 ounces, $3.97)
B: Brand L (6 ounces, $5.89)
C: Brand M (8 ounces, $7.29)
D: Brand N (5 ounces, $4.49)​

Answers

Brand K - $0.9925 per ounce
Brand L - $0.9816 per ounce
Brand M - $0.91125 per ounce
Brand N - $0.898 per ounce

-> cheapest is Brand N

How do you convert and equation from slope-intercept form to standard form ?

Answers

Answer:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

explanation:

pls make me brainliest

Which expression is equivalent to RootIndex 3 StartRoot StartFraction 75 a Superscript 7 Baseline b Superscript 4 Baseline Over 40 a Superscript 13 Baseline c Superscript 9 Baseline EndFraction EndRoot? Assume a not-equals 0 and c not-equals 0.
StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 2 c cubed EndFraction
StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a squared c cubed EndFraction
StartFraction a cubed b (RootIndex 3 StartRoot 15 b squared EndRoot) Over 6 c cubed EndFraction
StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a c EndFraction

Answers

Answer:

StartFraction b (RootIndex 3 StartRoot 15 b EndRoot) Over 2 a squared c cubed EndFraction

So B.

Step-by-step explanation:

I got it right on the test

can someone step by step tell me how to do this equation I seriously don’t understand trig. Question: solve r to the nearest tenth of a centimetre

Answers

Answer:

2.736161147

Step-by-step explanation:

What are the coordinates of the vertex of the graph y = x^2– 8x + 10?

Answers

Answer:

(4, -6)

Step-by-step explanation:

Which line is perpendicular to the line shown on the graph Map testing

Answers

Answer:

Step-by-step explanation:

Since the graph with the line isn't provided, I can only tell/show you how to find the perpendicular line.

When two lines a perpendicular, they can have different y-intercepts. But the slope of line will change to it's reciprocal.

So if you have a line that is y = 2x + 7 the perpendicular line would be,

y = -1/2 x + 7

A square has an area of 1369 square inches. What is the length of its side

Answers

Answer:

37 inches

Step-by-step explanation:

1369 = l^2

The square root of 1369 is 37.

can someone help me find the slope and give me like a formula?

Answers

Answer:

the formula is y=2/-1-4 and the slope is 2/-1

Step-by-step explanation:

13. Write an equation of the line that passes through (2/3, 1) and has a slope of -3.
a) Y = -3x + 3
b) Y = -2x - 1
c) Y = x - 1
d) Y = x + 3

Answers

Answer:

A

Step-by-step explanation:

A, is the only answer with the correct slope, and when you plug the coordinates in, you get 1=1

Mrs. Conway is teaching a 5th grade class. She is standing 4 meters in front of Julie. Olivia is sitting 3 meters to Julie's right. How far apart are Mrs. Conway and Olivia?

Answers

4.58257569496 meters or about 4.6 meters

Firefighters just arrived at the Farquand building with a rescue truck. Mr. Farquand is stuck on a window ledge 44 feet directly above the top of the truck. The base of the ladder is a horizontal distance of 33 feet away from the building. Using the Pythagorean Theorem, determine how long the ladder must extend to reach Mr. Farquand.

Answers

Answer:

Step-by-step explanation:

The ladder must extend to a length of 55 feet in order to reach Mr. Farquand on the window ledge.

In this scenario, the height of the building (opposite side) is 44 feet, and the horizontal distance from the base of the ladder to the building (adjacent side) is 33 feet.

Using the Pythagorean theorem, we can calculate the length of the ladder (hypotenuse) as follows:

Ladder length² = Height² + Distance²

Ladder length² = 44² + 33²

Ladder length² = 1936 + 1089

Ladder length² = 3025

Ladder length = √3025

Ladder length = 55 feet

Therefore, the ladder must extend to a length of 55 feet in order to reach Mr. Farquand on the window ledge.

Learn more about Pythagoras's theorem here:

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GIVING BRAINLIST PLEASE HELP!!

In the figure at the right, if PQ is perpendicular to QR,
then a + b + c + d =?

A) 180°
B) 225°
C) 270°
D) 360°

Answers

Answer is A I believe

The correct answer is 270°

a + b + c + d = 270°

Given,

In the figure at the right, if PQ is perpendicular to QR.

We need to find a + b + c + d.

What is the sum of the angles in a right triangle?

The sum of the angles in a right triangle must be 180 degrees.

We have,

In right-triangle PQR

PQ is perpendicular to QR.

So,

∠PQR = 90 degrees.

∠QPR = ∠QRP = 45 degrees.

We see that,

QS is perpendicular to PR

So,

∠QSP = b = 90 degrees

∠QSR = c = 90 degrees

Now,

From right-triangle QSP and right-triangle QSR.

We have,

QSP = b = 90 degrees

QPS = a = 45 degrees

QSR = c = 90 degrees

QRS = d = 45 degrees

Find a + b + c + d.

= 45 + 90 + 90 + 45

= 270 degrees

Thus the correct answer is 270°

a + b + c + d = 270°

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Help me !!! Please!!

Answers

Answer: g (-6,7)

Step-by-step explanation:

Up 4 over 4 from k

A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?
Show work

Answers

Answer:

$50.00

Step-by-step explanation:

Answer:

The correct answer is: 49.82

Step-by-step explanation:

First, you have to turn 6% into a decimal.

6%=0.06 (6/100)

Then, you multiply 6% by $53.00

0.06*53=3.18

Finally, you subtract the sales tax ($3.18) from the total paid ($53.00)

53-3.18=49.82

Hope this helps!

what is the distance between (5,6) and (-9,6)

Answers

Answer:

14

Step-by-step explanation:

Answer:

There is 14 spaces between the different points.

Step-by-step explanation:

The numbers of ancestors in different generations of a male honey be follow a fibonacci sequence In 5 generations email honey bee has 8 relatives and 6 generations it has 13 oz and in 7 generations it has 21 relatives how many relatives does it have an 8 and 9 generations?

Answers

Answer:

8th generation: 34 relatives

9th generation: 55 relatives

Step-by-step explanation:

Fibonacci sequence is a sequence that is in such a manner that each number will be the sum of the two preceding ones.

Thus, to get how many relatives in the 8th generation, we will need to add the number of relatives in both the 6th and 7th generation.

We are given number of relatives in the 6th and 7th generation as 13 and 21 relatives respectively.

Thus;

No. of relatives in 8th generation = 13 + 21 = 34 relatives

Similarly;

No. of relatives in 9th generation is = no. in 7th generation + no. in 8th generation = 21 + 34 = 55 relatives

???? ( whoever can answer this will get mark brainliest)

Answers

Answer:

She will need 2 cans of paint

Step-by-step explanation:

Each wall is 9m2 and needs 2 coats, with 2 walls there is a total of 36m2 of wall to paint. That is greater than 32.5m2 but not greater than 65m2 so she needs 2 cans.

a line segment on a coordinate plane has a slope of 1 and the end points at (1,a) and (9,b). Two points on this line segment partition it in a ratio of 1 : 3 and 3 : 1. Which of the following are the x coordinates of these two points


A: 2
B: 3
C: 4
D: 5
E: 6
F: 7
G: 8

Answers

Two points on this line segment partition it in a ratio of 1 : 3 and 3 : 1.

Then, The x coordinates of these two points are 2 and 6

What is a ratio defined?The quantity, amount, or size link between two or more things: proportionRatios are used to compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This signifies that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.A ratio indicates the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

a line segment on a coordinate plane has a slope of 1 and the end points at (1,a) and (9,b).

[tex]\frac{b-a}{9-1} =1 \\b-a = 9[/tex]

Two points on this line segment partition it in a ratio of 1 : 3

9 - 1 = 8

8 * 1/4 =2

8*3/4 = 6

The x coordinates of these two points are 2 and 6

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The volumes of two similar solids are 729 m^3 and 125m^3. The surface area of a larger solid is 324 m^3. What is the surface area of the smaller solid

Answers

Answer:

100 m^2

Step-by-step explanation:

The scale factor of the volume of solids is the cube of the scale factor of linear dimensions.

The scale factor of the area of solids is the square of the scale factor of the linear dimensions.

Volume scale factor:

125/729 = (5/9)^3

Linear scale factor:

5/9

Area scale factor:

(5/9)^2 = 25/81

Proportion to find the area of the smaller one:

Let the area of the smaller one equal x.

25/81 = x/324

81x = 25 * 324

Divide both sides by 81

x = 25 * 4

x = 100

Answer: 100 m^2

To rent a certain meeting room, a college charges a reservation fee of 13 and an additional fee of 4 per hour. The chemistry club wants to spend at most 41 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Answers

Answer:

7 hours

Step-by-step explanation:

41-13=28

28/4=7

if the original quantity is 20 and the new quantity is 18, what is the percent decrease?

Answers

Answer:

The answer is 10%

Step-by-step explanation:

The percentage decrease for the quantity change from 20 to 18 will be 10%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the original quantity is 20 and the new quantity is 18. The percentage decrease will be calculated as,

Percentage decrease = ( Original - decreased )  / original

Percentage decrease  = ( 20 - 18 ) / 20

Percentage decrease  = 2 / 20

Percentage decrease  = 0.1

Percentage decrease  = 0.1 x 100

Percentage decrease  = 10%

Therefore, the percentage decrease for the quantity change from 20 to 18 will be 10%.

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If a triangle has two unequal angles, the triangle is not equilateral.

true or false?

Answers

Answer:

true

Step-by-step explanation:

equilateral means it has 2 equal sides. if the triangle has 2 unequal sides then it can not be a equilateral because there is only 3 sides on a triangle.

hope this helped!

p.s it would be cool if you gave me brainliest.

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