The ratio of the number of red cards to the number of black cards in a deck is 3:10
2 more cards are added to the deck.
The ratio of red to black cards in the deck is now 1:3
How many black cards are in the deck?

Answers

Answer 1

Answer:

Then the black cards=12

Step-by-step explanation:

N of red=3

N of black=10

and we have ratio 3:10

think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3

                   ⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3

                   ⇒add 2 to black, the ratio will be 3:12 = 1:3

Then the black cards=12

hope this helps!

Answer 2

Answer:

Either

(1) there were originally 60 black cards, and 2 red cards were added, or

(2) there were originally 20 black cards, and 1 red card and 1 black card were added.

Step-by-step explanation:

The ratio of red cards to black cards is 3:10.

Since we don't know the actual numbers of red and black cards, we can write the ratio of red to black cards as

3k/10k

After adding 2 cards, the ratio of red cards to black cards becomes 1:3.

There are 3 ways of adding 2 cards: (A) both red, (B) 1 red and one black, (C) both black.

Possibility A: add two red cards

(3k + 2)/(10k) = 1/3

10k = 9k + 6

k = 6

3k/10k = 3(6) / 10(6) = 18/60

There were originally 60 black cards.

Possibility B: add 1 red card and 1 black card

(3k + 1)/(10k + 1) = 1/3

10k + 1 = 9k + 3

k = 2

3k/10k = 3(2) / 10(2) = 6/20

There were originally 20 black cards.

Possibility C: add two black cards.

(3k)/(10k + 2) = 1/3

10k + 2 = 9k

k = -2

3k/10k = 3(-2) / 10(-2) = -6 / -20

We cannot have a negative number of cards.

No solution.

Answer: Either there were originally 60 black cards, and 2 red cards were added, or there were originally 20 black cards, and 1 red card and 1 black card were added.


Related Questions

The perimeter of a rectangle is 40 inches. If the length of the rectangle is 15 inches, which equation could be used to find the width, x?
OA. x + 2(15) = 40
OB. 15(x + 2) = 40
O.Cx+ 15 = 40
OD. 2(x + 15) = 40

Answers

A N S W E R :

Perimeter of rectangle = 40 inchesLength of rectangle = 15 inches

Let the required Breadth of rectangle be 'x' inches

Perimeter of rectangle is calculated by the given below formula :

Perimeter = 2(Length + Breadth)

Now, substitute the given values in above formula :

→ 40 = 2(15 + x)

Hence,the option (d) 2(x + 15) = 40 is the correct answer.

Select the correct answer.
The graph below represents the following system of inequalities.





Which point (x,y) satisfies the given system of inequalities?

A.
(2,3)
B.
(4,1)
C.
(3,-2)
D.
(-1,4)

Answers

Answer:

The answer is A

Step-by-step explanation:

because the negatives would be below  or to the left and 4,1 is below is

Answer:

A (2,3)

plato :)

Raj has a full deck of 52 cards. Sydney chooses the queen of clubs and holds onto it. Then Yolanda chooses a card. What is the total number of possible outcomes for Yolanda’s card?
36
48
51
52

Answers

Answer:

C.) 51

Step-by-step explanation:

1 : the quality or state of being probable. 2 : something (such as an event or circumstance) that is probable. 3a(1) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes. Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. The probability of an event is a measure of the likelihood that the event will occur. The sum of probabilities of all sample points in a sample space is equal to 1. ... The probability of event A is the sum of the probabilities of all the sample points in event A. The probability of event A is denoted by P(A). The probability formula provides the ratio of the number of favorable outcomes to the total number of possible outcomes. The probability of an Event = (Number of favorable outcomes) / (Total number of possible outcomes) P(A) = n(E) / n(S)

There are three major types of probabilities:

Theoretical Probability.

Experimental Probability.

Axiomatic Probability.

n this page you can discover 39 synonyms, antonyms, idiomatic expressions, and related words for probability, like: prospect, odds, unlikelihood, likely, possibility, credibility, likelihood, improbability, contingency, hazard and plausibility.

Answer:

eh hes right the guy above give him brainleist  its c

Step-by-step explanation:

please help asap because this was due a month ago

Answers

516.44 I think that’s the answer

Answer:

D

Step-by-step explanation:

use a calculator next time

**Select all that apply**
An exterior angle of an isosceles triangle has measure 130°. Find a set(s) of measures for the angles of the triangle

Answers

Answer:

a and d

Step-by-step explanation:

find the slope and the y-intercept of the line.

Answers

Answer:

Slope m = 6

y-intercept b = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

[Slope-Intercept Form]   y = 6x - 5

Step 2: Break Function

Identify Parts

Slope m = 6

y-intercept b = -5

Answer:

[tex]slope:6\\y-intercept:-5[/tex]

Step-by-step explanation:

Given the line:

[tex]y=6x-5[/tex]

We can first refresh our memory with slope-intercept form:

[tex]y=mx+b[/tex]

In slope-intercept form:

[tex]m=slope\\b=y-intercept[/tex]

With that information, using the given equation for the line, we can conclude that:

[tex]m=6[/tex]

[tex]b=-5[/tex]

It’s late! Please help me asap!

Answers

Answer:

D. x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 8

Leg b = x

Hypotenuse c = 10

Step 2: Solve for x

Substitute [PT]:                    8² + x² = 10²Isolate x term:                      x² = 10² - 8²Exponents:                           x² = 100 - 64Subtract:                               x² = 36Isolate x:                               x = 6

Answer:

x=6

Step-by-step explanation:

According to Pythagoras theorem

x²+y²=z²

x²+8²=10²

x=√10²-8²

x=√100-64

x=√36

x=6

members of a soccer team raised $741.15 to go to a tournament. They rented a bus for $250 and budgeted $25.85 per player for meals. they will spend all the money raised. write and solve an equation to determine the number of players the team could bring to the tournament

Answers

9514 1404 393

Answer:

  19 players

Step-by-step explanation:

The total being spent is ...

  bus cost + (per player cost) × (number of players) = total raised

  250 + 25.85p = 741.15

  25.85p = 491.15

  p = 491.15/25.85 = 19

The team could bring 19 players to the tournament.

PLEASE HELP!! will give brainliest. answer choices and question are in the photo.

Answers

Answer:

-17,-6and 1,-6

Step-by-step explanation:

What's the length of BD and how?

Answers

i believe it is 4 or 5

What is 35% of 50?
A. 17.5
B. 35
C. 85
D.142

Answers

A (17.5) have a great dayyy!! hope it helps :))

WILL MARK BRAINLIEST! PLEASE HELP!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?

Answers

I think 32..............

A minor league baseball team has a member's club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?

Answers

Answer:

2 tickets

Step-by-step explanation:

because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars

Find the equation of the line shown

Answers

i guess it would be 1/2

What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?

Answers

Answer:

The height of a rectangle's side is 15 cm tall.

Step-by-step explanation:

You can use the pythagorean theorem to solve this.

The pythagorean theorem is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).

Let's plug in.

[tex]{a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00[/tex]

Therefore, its 15 cm.

Which triangle congruence is this?
SSS
SAS
ASA
AAS
HL

Answers

Answer:

HL

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

I need help finding the answer

Answers

Answer:

the slope is 1/2 and the y-int is -3

Step-by-step explanation:

slope is mx (find 2 points, and do rise over run)

y int is b

Calculer coefficient de réduction grâce a l'aire

Answers

Answer:

Comme on a AI = 3 cm et AB = 5 cm, le coefficient de réduction AI / AB est égal à trois cinquièmes, c'est à dire 0,6 . L'aire de AIJ est égale à l'aire de ABC multipliée par k2 .

Step-by-step explanation:

i cannot find the toliet paper HEL_PPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

lol coronavirus is real :(

Step-by-step explanation:

20 red marbles to 40 blue marbles (ratio as a fraction)

Answers

Answer:

20/40 = 10/20 = 1/2, 1:2

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

It would be 1/2 because 2/4 (from 20 red and 40 blue) 2/4 simplified would be 1/2

Is this an absolute value graph?
Is it a reflection of its parent graph?
This graph shifted _ by _ units.

Answers

Answer:

This graph shifted UP by 3 units

Step-by-step explanation:

The parent function of the absolute value is:

f(x) = | x |

If f(x) is reflected across the y-axis, it would map to itself. If it was reflected across the x-axis, it would map to a negative-valued function for all x.

The graph shown is not a reflection, but it's a translation. Note the parent function passes through the origin, thus the graph is a translation of 3 units up.

This graph shifted UP by 3 units

Answer number 12 plz i dont get it

Answers

Answer:

its blarred, but in generally take the sum 90 and solve it

Find the sum.
(X+3)+(2x-1)

Answers

Answer:

3x+2

Step-by-step explanation:

x+3+2x−1

=x+3+2x+−1

Combine Like Terms:

=x+3+2x+−1

=(x+2x)+(3+−1)

=3x+2

Brainliest plz. If you want...

create an equation that has a solution of x=4)

Answers

Step-by-step explanation:

x=2, x+2=4 I think that is the right answer

Some one plz i need this

Answers

Answer:

-1/2

Step-by-step explanation:

just flip the M

Answer:

-1/2

Step-by-step explanation:

please help me and show the work I will mark brainliest

Answers

Answer:

Day 3/4

Step-by-step explanation:

2 *2 = 4. 4 * 4 = 16. 16 * 16 = 256. 256 *256 = 65,536

It would be 250 because 500/2=250

Hope this helps

Have a happy holidays:)

The graph shows a journey in a car Which of the statements most likely describes the journey at the portion of the graph labeled J?
Distance
(mi)
hiszen
Time (hr)
The car continues its journey because the portion shows a linear function
The car is waiting at the starting point because the portion shows a constant function
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

Answers

Answer:

D) The car stops at a distance from the starting point because the portion shows a constant function away from the starting point.

Step-by-step explanation:

For this case, the first thing you should keep in mind is the following definition:

d = v * t

Where,

d: distance

v: speed

t: time

For the portion of the chart labeled J we have:

The time increases

The distance is the same

We have then that the speed is zero.

Therefore, the car is stopped at a distance far from the starting point.

Solve for b.
b + 0.9 = 5.1
Enter your answer, as a decimal, in the box.

Answers

Answer:

4.2

Step-by-step explanation:

This one is pretty easy cause all you need to do is subtract 0.9 from 5.1

5.1 - 0.9 = 4.2

And to check it plug and play

4.2 + 0.9 = 5.1

Therefore, your answer is 4.2

Hope this helps <3

Im really confused bc ive tried everything and i cant figure this out

-3 7/10 = -3/-4y
its a rational equation

Answers

Answer:

y = - [tex]\frac{15}{74}[/tex]

Step-by-step explanation:

Given

- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )

- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y

Multiply through by 20 ( the LCM of 10 and 4 )

- 74 = 15y ( divide both sides by 15 )

- [tex]\frac{74}{15}[/tex] = y

Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours. How many more pages per hour did Willie read?

Answers

Answer:

4 pages per hour

Step-by-step explanation:

Willie and Pedro are reading the same book. Willie read 108 pages in 3 hours, and Pedro read 160 pages in 5 hours.

We find how many pages per hour each of them read.

For Willie

Willie read 108 pages in 3 hours,

3 hours = 108 pages

1 hour = x

Cross Multiply

3x = 108 pages × 1 hours

x = 108 pages/3

x = 36 pages per hour

For Pedro

Pedro read 160 pages in 5 hours

5 hours = 160 pages

1 hour = x

Cross Multiply

5x = 160 pages × 1 hours

x = 160 pages/5

x = 32 pages per hour.

How many more pages per hour did Willie read?

This is calculated as:

36 pages/hour - 32 pages per hour

= 4 pages per hour

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