There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?

Answers

Answer 1
Answer:  40

25 red, 15 blue

======================================================

Work Shown:

b = number of blue marbles = unknown

r = number of red = 25

T = number total = 25+b

r/T = probability of getting red = 5/8

r/T = 5/8

25/(25+b) = 5/8

25*8 = 5(25+b) .... cross multiplication

200 = 125+5b

200-125 = 5b

75 = 5b

5b = 75

b = 75/5

b = 15

We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.

The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.


Related Questions

If x varies inversely as y, which statement is true?

Answers

Answer: The Inverse variation

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.

6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?

Answers

Answer:

they each get 1/8 of a gallon of orange juice

Step-by-step explanation:

factorise the following, with steps​

Answers

Answer:

Step-by-step explanation:

1) Sum = - 9

Product = -36

Factors = -12 , 3     {-12 + 3 = -9  & -12*3 = -36}

3a²  - 9a - 12 = 3a² + 3a - 12a - 12

                    =3a(a + 1) - 12(a + 1)

                    = (a + 1) (3a - 12)

2) 4a² + 38a - 20 = 4a² + 40a - 2a  - 20

                            =4a(a + 10) - 2(a + 10)

                            =(a + 10)(4a - 2)

3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9

                          = 11a(a + 3) - 3(a + 3)

                          =(a + 3)(11a - 3)

The tape diagram represents an equation.

Answers

Answer:

y² = 7

Step-by-step explanation:

Which statement is true? 13/14=169/182 13/14<169/182 13/14>169/182
pls help me

Answers

Answer: 13/14 = 169/182

Step-by-step explanation:

If you do 13 x 182 = 2,366

And then do 14 x 169 = 2,366

Making both sides equal if you multiple the numerator by denominator using cross multiplication

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

What is Algebra?

Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.

The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.

The fraction number is given below.

⇒ 13/14 and 169/182

Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,

⇒ (13 x 13)/(14 x 13)

⇒ 196 / 182

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Hello, please help me with this as well, but show me example how you worked it out?

33 + - 5

Answers

Answer: 28

Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28

Answer:

28

Step-by-step explanation:

Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.

The pictures is where my question is someone please answer it.

Answers

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

HELLP MEEEEEE

PLEASE

Answers

Answer:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]

Step-by-step explanation:

Quadratic equation:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

The equation is:

[tex]4x^2 - 10x + 5 = 0\\[/tex]

So:

a = 4

b = -10

c = 5

Plug the variables into the quadratic equation:

[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]

[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]

[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]

Divide both sides by 8:

10 ÷ 8 = [tex]\frac{5}{4}[/tex]

[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]

[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]

This means that the solutions that satisfy the equation is:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]

Hope this helps!

How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧​y=9x−5y=9x+6​Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions

Answers

The solution to the given equations has infinitely many solutions

Given the following set of equations:

y = 9x - 5

y = 9x + 6

Equating both expressions

9x - 5 = 9x + 6

Collect the like terms

9x - 9x = 6 + 5

0x = 11

x = 11/0

x = ∞

This shows the solution has infinitely many solutions

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Answer: b

Step-by-step explanation: bc khan

Someone help me please

Answers

Answer:

2,4

Step-by-step explanation:

2,4 absdefghijklmnopqrstjvwxyz


What does m represent in the equation y = mx + b?
A. the y-intercept of the
graph of y = mx + b

B. the slope of the graph of
y = mx + b

C. the run in the ratio rise
/ run

D. None of these

Answers

Answer:

B. the slope of the graph of y = mx + b

Step-by-step explanation:

m is the slope.

y is the y value

x is the x value

b is the y intercept

the answer is

d. none of these

Help please!!!!!!!!!!!! I need help

Answers

Slope of first graph (-3+8)/(-5+10) = 5/5 = 1
Slope of second graph = 4
Slope of Function A is less than that of Function B

Answer:

The slope of Function A is less than the slope of Function B.

Step-by-step explanation:

Using the slope formula:

m = (y2 - y1)/(x2 - x1)

and the following ordered pairs from Function A:

(x1, y1) = (-5, -3)

(x2, y2) = (-10, -8)

m = (y2 - y1)/(x2 - x1)

[tex]m = \frac{-8 - (-3)}{-10 - (-5)} = \frac{-8 +3}{-10+5} = \frac{-5}{-5} = 1[/tex]

Since Function A's slope = 1, and Function B's slope = 4, then it means that the slope of Function A is lesser than the slope of Function B.

If y = 132 when x =11, what is the value of y when x = 17?

Answers

Answer:

204

Step-by-step explanation:

The answer is 138!
Hope this helps

4/100 fraction as percent

Answers

Answer:

4%

Step-by-step explanation:

have a lovely day <3

Answer:

4% is 4/100 as a percent

just take the fraction and turn it into a fraction out of 100 which this already is and then the percent is the numerator

You put 56 green marbles and 24 yellow marbles into bags. Each bag has the same number of green marbles and the same number of yellow marbles. What is the greatest possible number of bags you can make using all the marbles? How many green marbles are in each bag? How many yellow marbles?

Answers

Answer:

8 bags

7 green marbles and 3 yellow marbles

Step-by-step explanation:

Find the GCF of 24 and 56

24 = 4 x 6

= 2 x 2 x 2 x 3

56 = 7 x 8

= 7 x 4 x 2

= 7 x 2 x 2 x 2

The common factors are - 2 x 2 x 2, which is 8.

So the greatest number of bags they can make is 8

Divide the amount of marbles by the number of bags

24 yellow marbles and 8 bags, so 24/8 is 3

56 green marbles and 8 bags, so 56/8 is 7

Hope this helps, let me know if you have any questions

I’m giving the right
Answer brainlyest and 5 star rating

Answers

Answer:

the first one i think sorry it im wrong

Step-by-step explanation:

the answer is the third one

10+10= hhihihhhiihihihih

Answers

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

Help pls :) thanks!!!!!

Answers

Given :-

A bag has 20 counters .16 are green .

To find :-

The probability that it is green .

Solution :-

As we know that ,

P = Total no. of favourable outcomes/Total number of possible outcomes

Substitute ,

P(of getting a green ) = 16/20 P(of getting a green ) = 4/5

Answer:16/20 equals 4/5

Step-by-step explanation:they are asking what is the probability that it is green so we know that 16 counters is green and total counters is 20 so it’s 16/20 and then you simplify it the answer is 4/5

what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?

Answers

the horses name was friday

Find the range of data set 10, 18, 21, 28, 12, 20

Answers

Answer:

range 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.

[tex]28 - 10[/tex] [tex]18[/tex]

Therefore, the range is 18.

Arrange in ascending order:

7,85,460 ; 7,58,406 ; 7,85,046 ; 7,85,640.​

Answers

Answer:

7,58,406 ,   7,85,046 ,    7,85,460 ,   7,85,640  

Step-by-step explanation:

please help i reward brainliest ;)
Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for 3 more than t hours.

Answers

Answer:

If she runs for three hours, then she'll run 36 miles

Going at the speed she is going, Leila can travel a distance of 12(3 + t).

The distance that a person can travel is found by:

= Speed x time

The speed here is 12 miles per hour

Time = 3 more than t hours = (3 + t hours)

The distance Leila would have gone is therefore:

= 12 x (3 + t)

= 12 (3 + t)

In conclusion, as the question is not complete, the relevant expression to find the distance is 12 ( 3 + t)

Find out more at https://brainly.com/question/11317310.

Find the value of X. Show your work.

Answers

Answer:

x = 3

Step-by-step explanation:

The traingels are similar so we can conpare sides.

3 is to 18 as 2 is to 4x or

3/18 = 2/4x

1/6 = 1/2x

6 = 2x

3 = x

Answer:

x = 3

Step-by-step explanation:

The triangle in the left is dilated 3 times bigger than the triangle in the right

that means that the left triangle is 3 times larger. In order to solve for x, you must compare one side from the left triangle to the other side of the right triangle.

so…

since the hypotenuse of the left triangle is 18, the hypotenuse of the right triangle is 3. 18 to 3 is 6 because 18 divided by 6 is 3.
And from 15 to 2 1/2 is 6 as well. (Use your calculator if you need to). so with all that information, x = 3 because…

4x > 2

and since the right triangle is 3 times larger…

4(3) > 2

12 > 2

and that means that 12 to 2 is 6

Therefore, the value of x is 3

70 minutes for 24 songs
=
[blank] minutes for 12 songs

Answers

Answer:

35

Step-by-step explanation:

70 minutes for 24 songs

70/2 minutes for 24/2 songs

35 minutes for 12 songs.

Answer:

35 minutes for 12 songs

Step-by-step explanation:

hope this helps

Can y'all help me this question ASAP this all I need

Answers

5/8x + 1/5x can be written with a common denominator:
25/40x+ 8/40x = 99

This can be simplified to:
33/40x = 99

Next times both sides by 40
33x = 3960

Then, divide both sides by 33
x = 3960/33
x = 120

70 POINTS PLEASE HELP GIVING BRAINLIEST

Sally bought the pizza that was shown above for lunch, which was cut into 10 equal slices, what percentage of the pizza did sally eat if she had four slices?

Answers:
20%


30%


40%


50%

Answers

Answer:

the answer would be 40%.

A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how
many cups of vinegar must she use?

Answers

1.6 cups of vinegar for 4 cups of soap.

1.6 cups of vinegar used for 4 cups of soap.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For  5 cups of soap = 2 cups of vinegar

For 1 cups of soap = 2/5 cups of vinegar used.

Now we have to find how much vinegar required for 4 cups of soap.

So, for 4 cups of soap

=2/5 * 4

=8/5

=1.6 cups of vinegar used.

Hence, 1.6 cups of vinegar used.

Learn more about unitary method here:

https://brainly.com/question/22056199

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HELP ME I WILL GIVE YOU BRAINLIEST AND A 5.0 REVIEW


Power: An _________________ that has a base and an exponent.

Answers

Answer:

Base

Step-by-step explanation:

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?

Answers

Answer:   0 < x ≥ 12

Step-by-step explanation:

The domain is the set of x-values for which the equation is true.

Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0.

          ∴ domain would be      0 < x ≥ 12

Which number line represents the solution set for the given inequality?

x + 1 ≤ -3 or -4x < -8

Answers

The solution to the system of equations is x≤ -4 and x > 2. Find the number line attached below:

Given the set of inequalities expressed as;

x + 1 ≤ -3 or -4x < -8

For the inequality expression x + 1  ≤ -3

x  ≤ -3 - 1

x ≤ -4

For the inequality expression:

-4x < -8

Divide both sides by -4

-4x/-4 > -8/-4

x > 2

Hence the solution to the system of equations is x≤ -4 and x > 2. Find the number line attached below:

Learn more here: https://brainly.com/question/15816805

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