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

Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.

Answers

Basically, it is not a function because 1 domain (in this case, 5) can not be connected to two different ranges(1 and -2). Each domain must only connect to one range.


1) Jen spends $5.98 on ribbon. Ribbon costs $0.92 per meter. How many
meters of ribbon does Jen buy?

Answers

Answer:

6.5

Step-by-step explanation:

5.98÷0.92= 6.5m

order the numbers from least to greatest

Answers

Answer:

-7/3 < -3/4 < 0.5 < 2/3 < 1.2

Step-by-step explanation: Heres your answer. Sorry if its wrong.

Peter brought 8 lemons for 6 dollars each lemon was the same price what was the cost for 1 lemon.

Answers

Answer:

75 cents

Step-by-step explanation:

We can use a ratio to solve

8 lemons      1 lemon

------------- = ------------

6 dollars        x dollars

Using cross products

8x = 6*1

8x = 6

Divide by 8

8x/8 = 6/8

x = .75

One lemon costs .75

How many 1/4 cup servings are in 5/6 cups of yogurt?​

Answers

Answer:

3.3

Step-by-step explanation:

1/4*3 = 3/12 (find lcd lowest common factor )

5/6 *2 10/12 figure out how many time 3 goes into 10 about 3.3 repeating

Answer:       [tex]\right] \left[\begin{array}{ccc}0.3 cups\\\end{array}\right] \\[/tex]

Step 1: Write the problem as a mathematical expression.

1/4 and 5/6

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

0.3 cups

Definitions:

A. Fraction- A number used to name a part of a group or a whole. The number below the division line is the denominator, and the number above the division line is the numerator.

B. Expression- A mathematical symbol, or combination of symbols, representing a value, or relation.

Have a great day!

work out the surface area of this cylinder
8cm diameter
16.8cm height

Answers

surface area: 522.76cm

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)

Answers

Answer:

x = 12.2 mi

Step-by-step explanation:

Given the two sides of the right triangle:

a = 6.1 mi

b = 10.6 mi

c = x

Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:

c² = a² + b²

c² = (6.1)² + (10.6)²

[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]

c = 12.2 mi

Therefore, the value of the hypotenuse is:  x = 12.2 mi

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

Step by step :

x² = (10,6)² + (6,1)²

x² = 112,36 + 37,21

x² = 149,57

x = 12,22mi

your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.

PLEASE HURRY!!​

Answers

Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

Given m||n, find the value of x.
т
Rt
>m
(2X-22)
(5x-8)°
>

Answers

Given angles are supplementary.

[tex]\\ \sf\longmapsto 2x-22+5x-8=180[/tex]

[tex]\\ \sf\longmapsto 7x-30=180[/tex]

[tex]\\ \sf\longmapsto 7x=180+30=210[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{210}{7}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }

{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }

{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }

{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }


which is not a function and which is a function?

Answers

{(2, 2),(4, 4),(6, 6),(8, 8)} Is a function.

{(0, 3),(3, 5),(5, 6),(8, 4)} Is a function.

{(1, 2),(3, 3),(4, 8),(6, 3)} Is a function.

{(3, 4),(5, 2),(5, 6),(7, 3)} Is not a function.

For a relation to be a function, every x value must have only one y value.

find the slope with the given numbers​

Answers

Answer:

[tex]m=-\frac{1}{26}[/tex]

Step-by-step explanation:

Formula:

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

----------------------------------------------------------------------------------------------------------------

Work:

[tex]m=\frac{-15-(-16)}{-7-19}\\\\m=-\frac{1}{26}[/tex]

As a part of raising funds for an orphanage,you received $120.50 and wanted to split the money into
groups of food items; clothes and story books .

a)If you want the same amount for each group, how much money will you put into each group?

b)Imagine if you want to save same amount of the money for stationary items, then how will you split the money into various groups?Justify

c)If you receive an extra money of $9.50 from people, then how much will be saved for each group?(Include all the groups)

Answers

Answer:

a) there are three groups here

total cash = $120.50

each group takes = $120.50 / 3

each group have = $40.17

b) Total no of groups = 4

Total cash = $120.50

each group takes = $120.50 / 4

Each group have = $30.13

c) Total group =4

Total cash = $120.50 + $9.50

=$130

each group have = $130 / 4

=$32.5

Given m|n, find the value of x. (6x-9) → (5x+10) ​

Answers

>> Answer

__________

[tex] \: [/tex]

6x - 9 = 5x + 10

6x - 5x = 10 + 9

x = 19



½x - 5 = -6

Which solution makes this equation true?


1. -12

2. -2

Answers

Answer: -2

Let’s try x = -12

1/2(-12) - 5 = -6

PEMDAS says to multiply first

1/2 x -12 = -6

So

-6 - 5 = -6

-6 - 5 = -11 not -6 so it’s not that

Now let’s do x = -2

1/2(-2) - 5 = -6

Again, you multiply first

1/2 x -2 = -1

-1 - 5 = -6 so it works

The picture needs to be answered.

Answers

Answer:

if 3 children go to the water park, 4 adults can go: TRUE

if 6 children go to the water park 3 adjults can go: FALSE

no adults, 6 children: TRUE (even 9 children can go)

no children, 6 adults: TRUE

10x is indeed the cost of the children

15y is indeed the cost of the adults

Write an equation. A number is doubled, then 9 is added. The result is 23.

Answers

Answer:

2n + 9 = 23

Step-by-step explanation:

let the number be n then double the number is 2n and adding 9 gives

2n + 9 ( the result is 23 ) , so

2n + 9 = 23 ← is the equation modelling the statement

the square root of negative 9 is not negative 3 because..​

Answers

Answer:

You cant have a negative square root

Explanation:

The answers will always be positive or a perfect square

Hope this Helps

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

What is the approximate value of the number below rounded to the
nearest tenths.
37
——
√144

Answers

Answer:

3.08

Step-by-step explanation:

because 144 is a squre root of 12

how do I do this please help

Answers

Answer:

i do not know what it all says

Step-by-step explanation:

Explain why it does not matter which point you choose when writing the
equation of the line in point-slope form, given two points.

Answers

Answer:

because, it will completely change the slope

Step-by-step explanation:

It does not matter which point you choose when writing the

equation of the line in point-slope form because the slope of the line remains same.

What is a slope ?

A slope can be thought of as rate of change of y axis with respect to x axis.

We have been asked in this statement that why it doesn't matter that which point we choose when writing the equation in point slope form.

Let us understand this with an example,Suppose we have two pair of points. (x₁,y₁) = (2,3) and (x₂,y₂) = (5,9).

We know slope(m) is = (y₂-y₁)/(x₂-x₁).

Slope(m₁) = (9-3)/(5-2)

               = 6/3

               = 2.

Now if interchange the points  (x₁,y₁) =  (5,9) and  (x₂,y₂) =  (2,3).

Slope(m₂) = (3-9)/(2-5)

                = -6/-3

                = 2.

So, even when interchanging the points the slope m₁ = m₂ this is the reason why it doesn't matter which point we choose.

learn more about slope here :

https://brainly.com/question/837699

#SPJ2

Please help me this question…

Answers

the area of the rectangle is 0.1 square meter

Area of rectangle is Length * width

Let's solve the equations
It's clear from the rectangle that the widths are equal.
So 2x-1=x+2
2x-x=2+1
X=3 cm

Let's find y from the heights
2y=3y-1
3y-2y=1
y=1cm

Let's apply the area formula
A= L*W
3*1
= 3 cm ^2

We know 1 meter =100 cm

So 3cm * 1m^2/(100cm )^2
Area in meter = 0.0003 meter^2


how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)

Answers

Answer:

2q-1

Step-by-step explanation:

Add:

Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.

Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q

5/4q-1/4q is q

q+q is 2q

Now do the same thing with the numbers that doesn't have variables

1-4+2=-1

So the answer is 2q-1

Hope this helps!

Answer:

2q -1

Step-by-step explanation:

(5/4q + 1) + (q - 4) + (-1/4q + 2)

5/4q + 1 + q - 4 - 1/4q + 2

5/4q + q - 1/4q + 1 - 4 + 2

2q -1

Help meeeeee ????????

Answers

3(m+2) = 5m-58

3m+6 = 5m-58

6 = 2m-58

64 = 2m

m = 32

To make rice in a factory, Lois mixes rice and water in the ratio 2 : 3. If she uses 10 cups of rice, how many
cups of water does she need?

Answers

Answer:

15 cups

Step-by-step explanation:

2:3

10:?

2x5:3x5

10:15

I need the answer for this

Answers

Answer:

JK = 12.6

Step-by-step explanation:

Similarity says ratio of any cooresponding sides are equal to the ratio of any other cooresponding sides. SO

25.2/66 = JK/33

33(25.2/66) = JK

12.6 = JK

i realy need it very desparate

Answers

Answer: how to stop deppreshon

Step-by-step explanation: The mainstay of treatment is usually medication, talk therapy, or a combination of the two. Increasingly, research suggests these treatments may normalize brain changes associated with depression.

Given the function f(x)=x^2+2x+1, find each value of the function

Answers

Answer:

1 9/16

Step-by-step explanation:

F(1/4) means u plug in 1/4 for x

so the equation would be

f(1/4)=1/4^2+2 1/4 + 1

f(1/4)=1/16+1/2+1

f(1/4)= 9/16 +1

f(1/4)= 1 9/16

its not nine teen its one and 9 over 16 just clarification

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.

Answers

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

[tex]\mathbf{n = 5}[/tex] --- the number of digits

[tex]\mathbf{r = 3}[/tex] ---- the number of actions

Each of the three actions can either be:

Pressing one buttonPressing a pair of buttons

The number of ways of pressing a button is:

[tex]\mathbf{n_1 = ^5C_1}[/tex]

Apply combination formula

[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]

[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]

[tex]\mathbf{n_1 = 5}[/tex]

The number of ways of pressing a pair is:

[tex]\mathbf{n_2 = ^5C_2}[/tex]

Apply combination formula

[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]

[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]

[tex]\mathbf{n_2 = 10}[/tex]

So, the number of ways of performing one action is:

[tex]\mathbf{n =n_1 + n_2}[/tex]

[tex]\mathbf{n =5 + 10}[/tex]

[tex]\mathbf{n =15}[/tex]

For the three actions, the number of ways is:

[tex]\mathbf{Action = n^3}[/tex]

[tex]\mathbf{Action = 15^3}[/tex]

[tex]\mathbf{Action = 3375}[/tex]

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

https://brainly.com/question/4546043

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

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