[tex] \frac{6}{7} + \frac{1}{2} =[/tex]
Add. Write the answer in simplest form?​

Answer:add 5 and 4, you get 9. divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share.

Step-by-step explanation:

Answer:

Sam gets £30

Bethan gets £24

Step-by-step explanation:

Since they split the money in a ratio of 5:4, that means for every 5 parts of the money that Sam gets, Bethan gets 4 parts. The total of 5 parts and 4 parts is 9 parts.

To find how much each part is, we divide £54 by 9.

£54/9 = £6

Each part is £6.

Sam gets 5 parts: 5 × £6 = £30

Bethan gets 4 parts: 4 × £6 = £24

The width of the drawing maintaining the given scale factor will be 70.83 inches².

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio between two dimensions that determines how big or tiny a given figure is.

The length of the floor in actuality = 30 feet

⇒ 30 × 12 = 360 inches

Length of the floor in drawing = 10 inches

Scale factor = 10/360 = 1/36

By maintaining this scale factor

Width of the floor in drawing = (21 × 12)/36

⇒ 7.083 inches

Area = length × width

Area = 10 × 7.083

⇒ 70.83 inches²

Hence "The width of the drawing maintaining the given scale factor will be 70.83 inches²".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ1

Answer-

-They are related because they are numbers that are less than 1 that can be converted into a fraction.

-They also both contain the number nine.

-They are not repeating decimals.

-They are positive numbers.

Those are just a few examples of how they are related. I hope this helps, good luck!

Considering the definition of an inequality, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that

Being "S" the number of shirts that Lisa buys, the inequality that expresses the previous relationship is

15×S + 35≤ 137

Finally, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

Answer:

-2,-1.5,-1,-0.5 etc

Step-by-step explanation:

The smaller the negative value the greater the value compared to other negative value carrying a negative sign.

Part 1

[tex](f+g)(x)=f(x)+g(x) \\ \\ =4x+9+7x-5 \\ \\ =11x+4[/tex]

Part 2

[tex](f-g)(x)=f(x)-g(x) \\ \\ =(4x+9)-(7x-5) \\ \\ =4x+9-7x+5 \\ \\ =-3x+14[/tex]

Part 3

[tex](f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =(4x+9)(7x-5) \\ \\ =28x^2-20x+63x-45 \\ \\ =28x^2+43x-45[/tex]

Part 4

[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ =\frac{4x+9}{7x-5}[/tex]

Answer:  a

Step-by-step explanation:

Every six powers of ten, the cycle repeats. In other words, a repeating decimal with a denominator of 7 can have a repeating cycle that is up to six digits long.

The repeating cycle of a repeating decimal for the rational number with a denominator of 7 can be determined by considering the factors of the denominator.

In this case, the denominator is 7, which is a prime number. The length of the repeating cycle can be determined by examining the powers of 10 modulo 7.

To find the length of the repeating cycle, we need to find the smallest positive integer "n" for which 10ⁿ - 1 is divisible by 7. In other words, we are looking for the smallest "n" such that 10ⁿ ≡ 1 (mod 7).

Let's calculate the powers of 10 modulo 7:

10¹ ≡ 3 (mod 7)

10² ≡ 2 (mod 7)

10³ ≡ 6 (mod 7)

10⁴ ≡ 4 (mod 7)

10⁵ ≡ 5 (mod 7)

10⁶ ≡ 1 (mod 7)

As you can see, the cycle repeats every 6 powers of 10. This means that the repeating cycle of a repeating decimal with a denominator of 7 can be up to six digits long.

To learn more about repeating cycle link is here

brainly.com/question/2601560

#SPJ2

The number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

In this question we have been given a standard deck of 52 cards.

We need to find the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement.

We use the permutation formula.

We know that the number of ways to choose r elements from a set of n distinct objects where order does matter and replacements are not allowed.  

^n(P_r) = n! / (n - r)!

We know that, in a standard deck of 52 cards, there are 13 spade cards.

So, n = 13

5 spades to be drawn

So, r = 5

Using the formula of permutation,

^13(P_5)

= 13! / (13 - 5)!

= 154440

Therefore, the number of ways 5 spades can be drawn from a standard deck of 52 cards without replacement = 154440

Learn more about the permutation here:

https://brainly.com/question/13715183

#SPJ1

The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

The given parameters are

Red = 10

Yellow = 5

Blue = 6

The probability of pulling out one blue marble and then one red marble without replacing the first blue marble is

P = P(Blue) * P(Red Having selected Blue)

So, we have

P = 6/21 * 10/20

Evaluate

P = 1/7

Hence, the probability of pulling out one blue marble and then one red marble without replacing the first blue marble is 1/7

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

The probability of at least 2 students showing up is .70 or 70%

Let X be the number of students who show up for a professor's office hour on a particular day, probability of X is p(0) = 0.10, p(1) = 0.20, p(2) = 0.25, p(3) = 0.30 and p(4) = 0.15

If we add the probability of 1 student showing up, 2 students to show up, 3 students to show up, and 4 students showing up

We get 0.10+ 0.20+ 0.25+ 0.15 =1

As the sum of these individual 4 possibilities is 1 that means these are the only possibilities  to exit

Now we need to find out  the probability of at least 2 students showing up which means the probability of two or more students showing up

Which can be written as

            p(≥2) = p(2) + p(3) + p(4)

            p(≥ 2) = 0.25+0.30+0.15

           p(≥2) = 0.70

Hence, the probability of at least 2 students showing up is .70 or 70%

To know more about probability  - https://brainly.com/question/11234923

#SPJ9

The similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.

So, the similarity between two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can be placed on the same graph and the difference between the two is that they belong to different quadrants.

Therefore, the similarity of two vectors ⟨a,b⟩, and ⟨-a,-b⟩ is that they can both be placed on the same graph; the difference is that they belong to different quadrants.

Know more about vectors here:

https://brainly.com/question/25705666

#SPJ1

The thickness of the paper and the construction board will be 9.5  x [tex]10^{-2}[/tex] mm.

The thickness of the paper is written in standard form while the thickness of the construction board is written in scientific notation.

Scientific notation is used to compress large numbers into smaller number. In order to write a digit that is less than zero in scientific notation, count the numbers after the decimal point to the first non-zero digit, the numbers counted would be the power of the notation. he power would have a negative number.

Thus, 0.025 becomes 2.5 x [tex]10^{-2}[/tex]

(2.5 x [tex]10^{-2}[/tex]) + (7  x [tex]10^{-2}[/tex]) = 9.5  x [tex]10^{-2}[/tex] mm

To learn more about scientific form, please check: https://brainly.com/question/25334755

#SPJ1

Answer:

100

Step-by-step explanation:

first let's convert 240 mins to hours

240/60 = 4

now let's find approximately how many pages per hour

200/4 = 50

so, in one hour she approximately read 50 pages

let's say she reads 25 pages per hour

25(4)= 100

The cost of 12¼ m of cloth is 212.3 rupees.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

We have been given that 1 m of cloth costs rupees 17⅓.

We have to determine the cost of 12¼ m of cloth.

Let the cost of 12¼ m of cloth would be x rupees

We can write this as a ratio as

1 m : rupees 17⅓ = 12¼ m : x rupees

[17⅓ = 52/3 = 17.3 and 12¼ = 49/4 = 12.25]

1 m : 17.3 rupees  = 12.25 m : x rupees

⇒ 1 /17.3  = 12.25 /x    

⇒ (1)(x) = (12.25 )×(17.3)

⇒ x = 212.3

Therefore, the cost of 12¼ m of cloth is 212.3 rupees.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

w = 20m

l = 60m

Step-by-step explanation:

P = 2l + 2w

We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.

P = 2l x 2w

160 = 2(3w) + 2w

160 = 6w + 2w

160 = 8w

Divide both sides by 8

20 = w

Now we can figure out the length, which is 3(w) or 3 x 20 = 60

Answer:

w = 20m, l = 60m

Step-by-step explanation:

one negative two and then shifted to the rights, that's the translation to the right two units.

What is the sequence of transformation?

its  a 180 Degree Rotation.

And let's see With a 180 degree rotation.

, we can say  coordinates is that  X. Y. Two negative X. Negative Y.

It goes to one negative two and he goes to two negative five And c goes to 5 -2.

So if  one negative two and then shifted to the rights, that's the translation to the right two units.

Learn more about transformational sequence.

brainly.com/question/11352944

#SPJ9

The probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

Given that x is uniformly distributed between 0 and 2.

Therefore, the probability density function:

f(x)= 1 / (b-a) = 1 / (2-0)

= 0.5

This will be illustrated as:

P(X<=x)=(x-a)/(b-a)=(x-0)/(2-0)=x/2

Now, we have to find:

P(x >= 0.48)

= 1 - P(x<=1.68)

= 1-(0.48 / 2)

= 1 -0.24

= 0.76

Therefore, the probability that X is at least 0.48 given the information about the density of a random variable X is 0.76.

Learn more about probability on:

https://brainly.com/question/25870256

#SPJ1

Answer:

z+5

Step-by-step explanation:

the word more indicates addition

Answer:

0.035

Step-by-step explanation:

hope this helps :)

The size of the game file written in standard form is 350000 kilobytes

The given parameters are:

Size of the file = 3.1 x 10E4 kilobytes

Patch = 40000 kilobytes

The size of the game file written in standard form is then calculated as

Size = Size of the file + Patch

This gives

Size = 3.1 x 10E4 kilobytes + 40000 kilobytes

Rewrite as

Size = 310000 kilobytes + 40000 kilobytes

Evaluate the sum

Size = 350000 kilobytes

Hence, the size of the game file written in standard form is 350000 kilobytes

Read more about standard form at

https://brainly.com/question/1708649

#SPJ1

Answer:

1.25

Step-by-step explanation:

=2.75/2.2

=1.25

it is answer .it think answer give some help

The scale factor used to dilate triangle XYZ so as to form X'Y'Z' is a scale factor of 5/4.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Triangle X'Y'Z' is the image of triangle XYZ after a dilation by a scale factor.

Given that XZ = 4; X'Z' = 5

Hence:

Scale factor = X'Z'/XZ = 5/4

The scale factor used to dilate triangle XYZ so as to form X'Y'Z' is a scale factor of 5/4.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

The value of the linear equation after multiplying is 8/xX.

According to the statement

We have to find that the value of the statement.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is a:

7+1/X (1/x)

Here we know that the X and x are the different variables.

Then

7+1/X (1/x)

Now add the terms which are possible then

8/X (1/x)

Now, multiply the terms which are possible to multiply

Then the equation become

8/xX.

So, The value of the linear equation after multiplying is 8/xX.

Learn more about linear equation here

https://brainly.com/question/4074386

#SPJ9

The perimeter of the given figure is 56x.

So, perimeter: sum of all the sides

Then, according to the given figure:

Therefore, the perimeter of the given figure is 56x.

Know more about perimeter here:

https://brainly.com/question/19819849

#SPJ9

The intended population based on the information given is LMC students.

The actual population based on the information illustrated is Transfer Academy.

The sample is the 25 friends that the student talked to.

Using the data, the student decides to interview 25 of her acquaintances from the Transfer Academy to learn whether LMC students prefer eating in or eating outside of the cafeteria.

According to the data shown, Transfer Academy is the actual population in this circumstance. It is important to remember that the sample represents the population.

Learn more about sample on:

brainly.com/question/24466382

#SPJ1

The determination of the net income for each of the following separate situations is as follows:

                      Situation A     Situation B      Situation C

Net income     $21,800          $2,400           $31,400

The formula for determining the net income (loss) for the year is:

Net Income (loss) = Ending Equity - Beginning Equity - Additional stock + Dividend Paid).

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Situation A:

Common Stock issued = $4,600

Dividend paid = $8,600

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                          4,600

Dividend paid                                       (8,600)

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$21,800 ($47,400 - $29,600 - 4,600 + 8,600)

Common Stock issued = $15,400

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                        15,400

Dividend paid                                      

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$2,400 ($47,400 - $29,600 - 15,400)

Dividends paid = $13,600

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                        

Dividend paid                                    $13,600

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$31,400 ($47,400 - $29,600 + 13,600)

Learn more about determining net income from equity at https://brainly.com/question/11110287

#SPJ1

Because food grows more quickly in the hills when exposed to heat and rain rather than sunlight all day. Then for 1 sheep 1 bushel is required in the hills.

What are statistics?

The practice or science of organizing and interpreting numerical data in big quantities, particularly for the objective of concluding proportions in a whole from those in an expected sample.

Given that a remote agricultural nation is divided into two distinct geographic areas: a lowland plain and an upland of rough hills. A farmer can grow 10 bushels of grain or pasture 10 sheep on one unit of land on the plain. A farmer in the hills can pasture 4 sheep or grow 2 bushels of grain on one unit of land.

As opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphill = 10 sheep = 10 bushels

For uphill = 1 sheep = 1 bushels

For down plain = 4 sheep = 2 bushels

For down plain = 1 sheep = (1 / 2 ) bushels

Therefore, then for 1 sheep 1 bushel is required in the hills.

Learn more about Statistics at:

https://brainly.com/question/13104999

#SPJ1

The value of the middle integer is 26

From the question, we are to determine the middle integer

From the given information,

"The sum of the squares of three consecutive positive integers is 2030"

Let the first integer be x,

Then the middle integer will be x + 1

and the third integer will be x + 2

Thus,

x² + (x +1)² + (x +2)² = 2030

x² + x² + 2x + 1 + x² + 4x + 4 = 2030

3x² + 6x + 5 = 2030

3x² + 6x + 5 - 2030 = 0

3x² + 6x - 2025 = 0

x² + 2x - 675= 0

Solve quadratically

x² + 27x - 25x - 675 = 0

x(x + 27) -25(x + 27) = 0

(x - 25)(x + 27) = 0

x - 25 = 0 and x + 27 = 0

x = 25 and x = -27

Since x is a positive integer,

x = 25

Thus,

The middle integer,

x + 1

= 25 + 1

= 26

Hence, the value of the middle integer is 26

Learn more on Solving linear equations here: https://brainly.com/question/13772618

#SPJ1

The sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'. which is the correct answer would be (D)

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Triangle ABC has translated 12 units to the right, followed by a reflection across the x-axis. Which is a true statement

Triangle ABC is reflected across the y-axis, followed by a translation 12 units down. Which is a false statement

Triangle ABC is reflected across the x-axis, followed by a translation of 12 units to the right.  Which is a true statement

Therefore, the sequences of transformations can verify that triangle ABC is congruent to triangle A'B'C'.

Hence, the correct answer would be (D)

Learn more about the congruent triangles here:

brainly.com/question/4364353

#SPJ1