write these ratio in its simplest form 200:180​

Answer:

6/8 or in simple terms, 3/4

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{1}{4} \\ = ( \frac{1}{4} + \frac{1}{4} ) + \frac{1}{4} \\ = ( \frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) \\ = ( \frac{2}{8} ) + ( \frac{2}{8} ) + ( \frac{2}{8} ) \\ = \frac{6}{8} \\ = \frac{2 \times 3}{2 \times 4} \\ = \frac{3}{4} [/tex]

The given operation of the two fractions can be found as 6/8. The correct option is (D).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given expression is 1/2 + 1/4.

It can be solved using the strip given as below,

The number of 1/8 sections under 1/2 in the strip is 4.

And, the number of 1/8 sections under 1/4 in the strip is 2.

Then, the addition of the two fractions is equivalent to the total number of 1/8 sections under both of them.

It can be written in mathematical form as,

⇒  1/2 + 1/4

⇒ 4 × 1/8 + 2 × 1/8

⇒ 6/8

Hence, the required sum of the given fractions can be evaluated as 6/8.

To know more about fraction click on,

https://brainly.com/question/10354322

#SPJ2

Answer:

2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20

Step-by-step explanation:

I took the test                          <>_<>

Answer:

Number of books =10

Total number of ways =10!

Given pair of books to be together considering them as one

total sets =9

Number of ways of arranging them =9!ways

Those two books can be arranged in 2!

Total ways that the pair of books is together 

⇒9×2

Number of ways that are not together 

⇒10−9×2

⇒9(10−2)

⇒8×9

Answer:

I hope you understand please give brainliest

Step-by-step explanation:

We have a total of 10 books. If a particular pair of books must always be together, just tie these two books together and consider as a single book. Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!

Answer:

15%

Step-by-step explanation:

Answer: f(3) is 5.

Step-by-step explanation:

The value of the function f(3) is 5 from the given graph.

A relation is a function if it has only One y-value for each x-value.

We have to find the value of f(3) from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The value of f(3) is 5.

To find this we have to draw a perpendicular line at x=3.

Now let us check the corresponding point of y where the point and perpendicular line intersect.

Hence, the value of the function f(3) is 5 from the given graph.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Answer:

in the question there must be the area of the parallelogram given...

Answer:

About 2,800.

Step-by-step explanation:

2,000(1.05)^x

x =7.

2,000(1.05)^7

find 1.05 to the power of 7, which is 1.4071....

then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.

The population of butterflies after 7 years will be approximately 2814 butterflies.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.

Here, the initial population is 2000.

To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:

f(7) = 2000(1.05)⁷

Using a calculator, we get:

f(7) ≈ 2814

Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ3

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

Answer:

I don't think this question can be answered without more info

Answer:

angle 1= 81

Step-by-step explanation:

corresponding angles

angle 2 = 180-81 = 99

Answer:

aa a  

Step-by-step explanation:

k77

Answer:

Boxes A and D have a volume of 120 cubit feet.

Step-by-step explanation:

First, we just have to find the volume for each box so we do...

The volume of box A is:

(Length) x (Width) x (Height) = 5 ft x 4ft x 6ft = 120 [tex]ft^{3}[/tex]

The volume of box B is:

(Length) x (Width) x (Height) = 7ft x 7ft x 6ft = 294 [tex]ft^{3}[/tex]

The volume of box C is:

(Length) x (Width) x (Height) = 3ft x 6ft x 4ft = 72 [tex]ft^{3}[/tex]

The volume of box D is:

(Length) x (Width) x (Height) = 10ft x 3ft x 4ft = 120 [tex]ft^{3}[/tex]

Now we can see that boxes A and D have a volume of 120 cubit feet.

Answer:

Step-by-step explanation:

I assume you want to simplify this expression.

First take away the parenthesis.

-5x+4+-1x+1

Now combine like terms.

-5x+-1x=-5x-1x=-6x.

4+1=5

So -6x+5 is your answer.

Answer:

im here to help.

Step-by-step explanation:

yup

Answer:

Step-by-step explanation:

1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9

Answer:

졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ

ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ

Step-by-step explanation:

ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려

Answer:

The lowest common factor of 72 and 108 is 216

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

Answer:

1)105°

2) 45°

3)63°

4)108°

5)68°

Step-by-step explanation:

Hope this helps! :)

Answer:

[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]

The  function f(x) is continuous

Step-by-step explanation:

Explanation:-

Given that the function

                   [tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]

    put  x = c =2

                 [tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]

              [tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]

              [tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]

[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]

      Given function f(x) is continuous

Answer

Step-by-step explanation: =/

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Answer:

5x + 7

Step-by-step explanation:

Distribute 3x + 15 + 2x - 8

Combine like-terms 5x + 7

Answer:

5x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

3(x + 5) + 2(x - 4)

Step 2: Simplify

Answer:

Tax: $3.36

Total Cost: 51.36

Step-by-step explanation:

First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36

Plz mark as brainliest :D

6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

Answer:

c

Step-by-step explanation:

Answer:

C. $37.39

Step-by-step explanation:

We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.

To solve, all we have to do is subtract and add the price of stock per each day.

$37.69

On Tuesday, the stock price went up by $0.69 cents.

So we must add .69 to 37.69

37.69 + .69

38.38

On Wednesday, the stock price lowered by 82 cents.

So we subtract .82 from 38.38

38.38 - .82

37.56

On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.

37.56 + .37

37.93

On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.

37.93 - .14

37.79

Answer:

x=18°

Step-by-step explanation:

5x-18=4x

subtract 4x from both sides

x-18=0

add 18 to both sides

x=18°