There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.

Answer:

tringlae mixed witha football goal take the fool goal out and go from there

Step-by-step explanation:

Answer:

[tex]\displaystyle r = 6 \ cm[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 120π cm³

h = 10 cm

Step 2: Solve for r

Answer:

Radius of cone is 6 cm

Step-by-step explanation:

[tex]\sf\small\underline\purple{Given:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]

[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]

[tex]\sf\small\underline\purple{To\: Find:-}[/tex]

[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]

[tex]\sf\small\underline\purple{Solution:-}[/tex]

To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.

[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]

[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]

[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]

[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]

[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]

[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]

[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]

[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]

[tex]\small \sf \leadsto6cm = r[/tex]

Answer:

additive inverse properties

Answer:  5/log (8) - 8/3

Step-by-step explanation:

Answer:

A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4

Step-by-step explanation:

I just did it hope this helps

Answer:

119.32 m

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2 (3.14) *19

C = 119.32

Answer:

B. y= -2x +2

Step-by-step explanation:

the slope is negative 2 and the point where the line crosses the y-int is 2

Answer:, Joey will pay $117.18 for sneakers.

Step-by-step explanation:

Given: original price = $155

Discount rate = 30%

Tax rate = 8%

Price after discount = Original price - (Discount) x (original price)

[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]

Tax = Tax rate x (Price after discount)

[tex]= 0.08 \times 108.5[/tex]

= $ 8.68

Final price for sneakers = Price after discount + Tax

= $ (108.5+8.68)

= $ 117.18

Hence

Step-by-step explanation:

I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.

Answer:

[tex](2, -1)[/tex]

Step-by-step explanation:

Given the system of equations:

[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]

Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]

Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]

Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]

f(2) = -3

Step-by-step explanation:

f(x) = x - 5

f(2)) = (2) - 5 = -3

Answer:

Yes

Step-by-step explanation:

Every time the sugar goes up by 1/3 or by three it keeps the same raito

Step-by-step explanation:

câu trả lời là trong hình ảnh trên

Step-by-step explanation:

3a-26

3(5)-26

15-26

=-11

Answer:

[tex]3a - 26 \\ 3 \times 5 - 26 \\ 15 - 26 \\ = - 11[/tex]

Answer: 71 crates

Step-by-step explain:

6400/90 = 71. something but you cannot lift a decimal of a crate hence the answer being 71!

= 71 crates

Answer:

364 messages

Step-by-step explanation:

The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;

Total number of colored flags = 14

Number of flags arranged per time = 3

So that,

[tex]^{14} C_{3}[/tex] = [tex]\frac{14!}{(14 - 3)!3!}[/tex]

       = [tex]\frac{14!}{11!3!}[/tex]

       = [tex]\frac{14*13*12*11!}{11!3!}[/tex]

       = [tex]\frac{14*13*12*11!}{11!3*2!}[/tex]

       = 364

[tex]^{14} C_{3}[/tex] = 364

The number of coded messages that can be sent by the king is 364.

Answer:

I assume that this is a math question not a chemistry question...

In math I assume the answer is 1 liter....

total = 2 liters (1 liter water 1 liter ammonia )

If this is a chemistry question there is a difference between total

volume, and total weight, which would not result in the answer being 1 liter

Step-by-step explanation:

I believe your answer is 20

Step-by-step explanation: When you double 5, you get 10, which would be the amout of ribbons she made on the second day, if you double 10, you get 20.

I hope this helps!

Answer:

greatest 9776410 smallest 1046779

Step-by-step explanation:

in smallest we cannot write 0 first because 0 has no units

Answers:

Largest possible = 9776410

Smallest possible = 1046779

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

Explanation:

To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get

9776410

If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.

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

To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get

1046779

If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.

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

So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.

Answer:

cos(2π/35)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

Identify

cos(π/5)cos(π/7) + sin(π/5)sin(π/7)

Step 2: Simplify

Answer:

3 1/3

Step-by-step explanation:

5/2 divided by 3/4 = 3 1/3

Answer:

565.6854249 without rounds

Answer:

Step-by-step explanation:

Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))

Answer:

f(4.7) = 13.1

Step-by-step explanation:

essentially this is just 3x-1

plug in 4.7 for x... 3*4.7 = 14.1 then subtract 1 =

13.1

the issue is the || absolute value...

if the "X" x value is NEGATIVE in the problem, just remove the negative sign...

in other words f(-4.7)  = 3(4.7) - 1

Answer:

13.1

Step-by-step explanation:

f(x) = 3|x|- 1, x= 4.7

f(4.7) = 3|4.7|- 1 *replace x with 4.7

= 14.1 - 1. *multiply 3 x 4.7

= 13.1. *subtract 1 from. 14.1

Answer:

8.

a) f'x means you find the derivative.

2 * d/dx x^2 -b * d/dx x + d/dx c

use power rule x^2 = 2x^1

2*2x = 4x.  the derivative of the differentiation variable, x is 1 and the derivative of a constant, c is 0

4x-b+0

4x-b is our derivative

(I am still figuring out b and c, I will edit this answer and put the solution for b and c.)

Step-by-step explanation:

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i don't know the real answer but i have learned it before so it's an educated guess

Answer:

Mr Li is now 40 years old

his son is now 10 years old

Step-by-step explanation:

x = age Li

y = age son

x = 4y

x+5 + y+5 = 60

x + y + 10 = 60

x + y = 50

4y + y = 50

5y = 50

y = 10

x = 4y = 4×10 = 40

Answer:

x = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

using pythagoras theorem

here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]

13 + 13 = x^2

26 = x^2

[tex]\sqrt{26}[/tex] = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

Answer:

Option D

Step-by-step explanation:

If two triangles are said to be congruent then they have exactly the same three sides and the same three angles.

Since the option D indicates that all the three sides are equal (represented as SSS), Hence, it is the right answer

Answer:

congruent SAS

Step-by-step explanation: