Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?

Answer:

4500 inches, check image below

Step-by-step explanation:

Given that the expression in the question is [tex]\displaystyle x^{\frac{5}{2} }[/tex], the equivalent expression

can be found using the rules of indices.

Reasons:

The given expression is [tex]\displaystyle x^{\frac{5}{2} }[/tex]

Required:

To find the equivalent expression

Solution:

According to the rules of indices, we have;

[tex]a^{n + m} = a^n \times a^m[/tex]

[tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

Therefore, the above expression can be expanded as follows;

[tex]\displaystyle x^{\frac{5}{2} } = x ^{2.5} = \mathbf{x^{2 + 0.5}}[/tex]

[tex]\displaystyle x^{2 + 0.5} =\mathbf{ x^2 \times x^{0.5}}[/tex]

Which gives;

[tex]\displaystyle x^2 \times x^{0.5} = \mathbf{x^2 \times \sqrt{x}}[/tex]

Therefore;

[tex]\displaystyle x^{\frac{5}{2} } \equiv x^2 \cdot\sqrt{x}[/tex], which is the form [tex]a^{\frac{n}{m} } = \sqrt[m]{a^n}[/tex]

[tex]\underline{An \ expression \ \mathbf{equivalent} \ to \ x^\frac{5}{2} \ is \ x^2 \cdot \sqrt{x}}[/tex]

Learn more about the rules of indices here:

https://brainly.com/question/8959311

Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.

The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:

[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]

[tex]205 = \frac{h}{2}(20 + 21)[/tex]

[tex]20.5h = 205[/tex]

[tex]h = \frac{205}{20.5}[/tex]

[tex]h = 10[/tex]

The height is of 10 cm.

To learn more about area of a trapezoid, https://brainly.com/question/9918120

Answer:

The height of trapezoid is 10 cm.

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]

Solution :

Substituting all the given values in the formula to find height of trapezoid :

[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]

Hence, the height of trapezoid is 10 cm.

[tex]\rule{300}{1.5}[/tex]

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]

[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]

[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]

[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]

[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 11/24

Step-by-step explanation:I turned 2 and 3/4 into an improper fraction which got me 11/4.

There are 5 friends and him so that's 6 people.

So we can't do 11/4 divided by 6 so we must put 6 over 1.

So 11/4 divided by 6/1

Then we do "Keep Change Flip"

We keep 11/4

We change the division sign to multiplication

Then we flip 6/1 to 1/6

Then the problem is re wrote as:

11/4 times 1/6

And that equals 11/24 as your answer

So each person gets 11/24 of the pies.

Answer: Guilty of or involving betrayal or deception.

Step-by-step explanation:

Answer:

Y = 10x + 20

Step-by-step explanation:

sorry if im wrong

Answer:

y = 2x - 4

Step-by-step explanation:

10x - 5y = 20

Subtract 10x both sides

-5y = 20 + (-10x)

Divide by -5

y = -4 + 2x

y = 2x + (-4)

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Find the total amount in 3 years:

Here we've been given,

The standard formula for Compound interest (C.P) is given by,

[tex]:\implies\tt{A = p( { \frac{1 + r}{n} )}^{n \times t} } \\ \\ \\ :\implies\tt{A = 5483( { \frac{1 + 0.05}{1}) }^{1 \times 3} } \\ \\ \\ :\implies\tt{A = 5483 \times {1.05}^{3} } \\ \\ \\ :\implies\tt{A = 6347.26}[/tex]

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

Answer:

Triangle Area = (1/2) * base * height

base = 2 * Area / height

base = (2 * 162) / 18

base = 324 / 18

base = 18 meters

Step-by-step explanation:

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

Let's se

Done!

Adam receives 13.762 euros

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Given

Adam normally earns 8.32 an hour.

1. 832 * 6 = 10.992 for 6 hours

Adam will be payed = 8.32 *1/3 = 2.77

Total payment = 10.992 + 2.77 = 13.762

To learn more about division refer to:

https://brainly.com/question/12085148

#SPJ2

Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.

Answer:

V≈1.44×106

Step-by-step explanation:

hope this helps

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

i m not sure about the answer ...

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]

Answer:

8

Step-by-step explanation:

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

.

In our example, the resulting expression will consist of 2 terms:

  the first term is a product of  and .

  the second term is a product of  and .

Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

41/5

Step-by-step explanation:

So the answer is that 8 1/5 as a decimal is 8.2.

We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.

Answer:

Step-by-step explanation:

The answer is easy it’s 24

Answer:

I don't know

Step-by-step explanation:

please mark me as the brainlist

Answer:

help you with what

Step-by-step explanation: