100 points for correct answer

100 Points For Correct Answer

Answers

Answer 1

Answer:

[tex]\dfrac{x}{3}+\dfrac{3}{y}[/tex]

Step-by-step explanation:

Given fraction:

[tex]\dfrac{xy+9}{3y}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:[/tex]

[tex]\implies \dfrac{xy}{3y}+\dfrac{9}{3y}[/tex]

Rewrite 9 as 3 · 3:

[tex]\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}[/tex]

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:

[tex]\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}[/tex]

[tex]\implies \dfrac{x}{3}+\dfrac{3}{y}[/tex]


Related Questions

m/3 - 6 = 4

solve for m

Answers

Answer:

m=10

Step-by-step explanation:

m/3-6=4

30/3=10

10-6=4

.............................

Answers

The answer is 1,200

First you need to add . + . to get 1.5M and then you need to subtract the rest ( 1.5M - one million four hundred ninety-eight thousand eight hundred )

So then you get 1,200

Hope this helped!

Solve for x. Leave your answer in simplest radical form.

Answers

Answer:

√122

Step-by-step explanation:

first we have to find the missing side with x on the 5 and 9 triangle by using the theorem


a^2+b^2=c^2

9^2+5^2=c^2

81+25=c^2

106=c^2

√106=c


and now we can use this as a side to find x

4^2+√106^2=x^2

16+106=x^2

122=x^2

√122=x

Hopes this helps please mark brainliest

The vertex angle of an isosceles triangle measures
15 degrees more than one of its base angles. How
many degrees are there in a base angle of the
triangle?

Answers

The required three angle is 55 , 55 and 70

What is an angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Let each of the base angle of isosceles triangle = x

Vertex angle = (x+15)

Sum of the angle = 180

x + x + (x + 15) = 180

3x + 15 = 180

3x = 180 - 15

x = 165 / 3

x = 55

Each base angel = 55

Vertex angle = x + 15

                      = 55 + 15

                      = 70

Required three angles = 55 , 55 and 70

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Evie just had her birthday. she got a $30 gift card for dunkin donuts and she can’t spend more than $30. the small coffees cost $2 and the large cost $4. she wants to buy at least 10 coffees. how many coffees can she buy using only her gift card?

Answers

Answer:

Step-by-step explanation:

30 dollars to spend she wants to buy at least ten which mean's since 2 times 5 is 10 and 4 times 5 is 20 and 10 plus 20 equals thirty which means she can buy 5 small coffee's and 5 large coffee's

Which of the following choices is equivalent to the equation?

3(x−1) = 27


x – 1 = 9

x – 1 = 3

x – 1 = -3

Answers

Answer:

just finished a challenge

Step-by-step explanation:


Using division, what is the quotient (2x3 - 2x - 12) ÷ (x - 2)?
2x² + 4x-6 +
2x² - 4x + 6
1
X 2)

Answers

Answer: 2x²+4x+6

Step-by-step explanation:

[tex]\displaystyle\\\frac{2x^3-2x-12}{x-2} =\\\\\frac{2(x^3-x-6)}{x-2}=\\\\ \frac{2(x^2-8+8-x-6)}{x-2} =\\\\\frac{2(x^3-2^3-x+2)}{x-2} =\\\\\frac{2((x^3-2^3)-(x-2))}{x-2}=\\\\\frac{2((x-2)(x^2+2x+2^2)-(x-2))}{x-2} =\\\\\frac{2(x-2)(x^2+2x+4-1)}{x-2}=\\\\2(x^2+2x+3)=\\\\2x^2+4x+6[/tex]

The function f(x) = 2x3 + 3x2 + 2x – 1 is divided by (x – 1) .

Answers

Step-by-step explanation:

here is your answer hope it helps you plaz mark me as brainlist

Find the Maclaurin series of the following functions. Step by Step Please

Answers

The Maclaurin series of xcos(-x) up to n = 3 is

[tex]m(x)= xcos(-x)= x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

The function is given in the question as

m(x) = xcos(-x)

Taylor (Maclaurin) series of xcos(x) up to n=5

A Maclaurin series is given by  f(x),

[tex]f\left(x\right)=f\left(a\right)+\frac{f^'\left(a\right)}{1!}\left(x-a\right)+\frac{f^{''}\left(a\right)}{2!}\left(x-a\right)^2+\frac{f^{'''}\left(a\right)}{3!}\left(x-a\right)^3+\ldots[/tex]

[tex]f\left(x\right)=f\left(0\right)+\frac{f^'\left(0\right)}{1!}\left(x\right)+\frac{f^{''}\left(0\right)}{2!}\left(x\right)^2+\frac{f^{'''}\left(0\right)}{3!}\left(x\right)^3+\ldots[/tex]

We need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given point, and plug the results into the given formula.

f⁽⁰⁾(x) = f(x) = xcos(x)

Evaluate the function at the point: f(0)=0

1st derivative: f(1)(x)=(f(0)(x))′=(xcos(x))′=−xsin(x)+cos(x)

1st derivative at the given point: (f(0))′=1

2nd derivative: f(2)(x)=(f(1)(x))′=(−xsin(x)+cos(x))′=−xcos(x)−2sin(x)

Evaluate the 2nd derivative at the given point: (f(0))′′=0

3rd derivative: f(3)(x)=(f(2)(x))′=(−xcos(x)−2sin(x))′=xsin(x)−3cos(x)

Evaluate the 3rd derivative at the given point: (f(0))′′′=−3

Now, use the calculated values to get a polynomial:

[tex]m(x)=0+\frac{1}{1!}x+\frac{0}{2!}x^2+\frac{-3}{3!}x^3+.....[/tex]

[tex]m(x)=x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

Thus, the Maclaurin series of xcos(-x) up to n = 3 is

[tex]m(x)= xcos(-x)= x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

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HELP PLEASE I NEED IT

Answers

Answer:=

Step-by-step explanation:

2 = x
3 26
How do i solve this equation

Answers

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

Find the area of a shaded portion 10 km 20 km 20km

Answers

The area of the shaded region will be 150 square kilometers.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a 2- D figure as shown in the image.

The area of the shaded region will be -

A[shaded] = A [square] - {A [Δ1] + A [Δ2] + A [Δ3]}

A[shaded] = (20 X 20) - [{1/2 x 10 x 10} + {1/2 x 10 x 20} + {1/2 x 10 x 20}]

A[shaded] = 400 - [50 + 100 + 100]

A[shaded] = 400 - 250

A[shaded] = 150 square kilometers

Therefore, the area of the shaded region will be 150 square kilometers.

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What is the equation of the line that passes through the point (2,-6) and has a slope of -3?

Answers

Answer is y = -3x

Step by step

We can use point slope form to solve

y - y1 = m (x - x1)
Substitute your x and y and slope

y - -6 = -3 (x - 2)
Distribute

y + 6 = -3x + 6
Subtract 6 from both sides


y +6 -6 = -3x + 6 - 6
Combine

y = -3x is your answer

Find the probability of exactly three
successes in six trials of a binomial
experiment in which the probability of
success is 50%.

Answers

The probability exactly three successes in six trials is 31.30%

What is Binomial Distribution?

A binomial distribution can be defined as the probability of a success or failure outcome in an experiment or survey that is repeated multiple times.

The probability distribution of a binomial distribution is given by :

P(x = k) = n! /k!(n - k)! P^x(1 - P)^(n - k)

In our case :

n = 6

P = 50/100 = 0.5

Now we want the probability that:

x = 3

This is because the question states that we want the probability that the number of successes are exactly 3.

We do the substitution in the probability distribution function as follows :

P(x = 3) = 6!/3!(6 - 3)! × 0.5³ × (1 - 0.5)³

= 0.3125

= 31.25%

= 31.30%

Hence, the probability of exactly three successes in six trials of a binomial experiment in which the probability of success is 50 is 31.30%

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A clothing business finds there is a linear relationship between the number of shirts, n , it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 . Find a linear equation in the form p(n)=mn+b that gives the price p they can charge for n shirts.

Answers

The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.

How to linear equation in slope intercept form?

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the clothing business finds there is a linear relationship between the number of shirts, n,  it can sell and the price, p , it can charge per shirt.  1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .

Therefore,

using  (1000, 30) and (3000, 22) let's find the slope.

m = 22 - 30 / 3000 - 1000

m = - 8 / 2000

m = - 1 / 250

Hence, let's find the y-intercept using (1000, 30)

p(n) = mn + b

where

p = pricen = number of shirt

Therefore,

30 = - 1 / 250 (1000) + b

30 = - 4 + b

b = 30 + 4

b = 34

Hence, the linear equation is p(n) = - 1 / 250n + 34

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10 less than the product of 8 and b

Answers

Step-by-step explanation:

8b-10

hope it helps. please mark brainliest

Answer:  The correct answer is (8*b) - 10

Step-by-step explanation:

When translating word problems into equations, the term "product" denotes multiplication, and "less than" denotes subtraction.

This wording "10 less than the product of 8 and b" tells us to multiply 8 and b, then subtract 10:

(8*b) - 10

An airplane cruises 1 kilometer in
1
12
of a minute. What is its cruising speed?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
kilometers per minute

Answers

Answer: It is 12 kilometers per minute

Step-by-step explanation:

in the problem that you'll need to simplify your answer and write it as a proper fraction, mixed number, or whole number so I can confirm this is 100% correct.

Step-by-step explanation:

using a slope formula find the slope pf the line theough the points (0,0) and (2,6)

Answers

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

at the point (0,0), it is known that x=0 and y=0.at the point (2,6), it is known that x=2 and y=6.

slope: (6-0)/(2-0) =6/2 =3

There are approximately 123,000 people on the waiting list to get season tickets for the Green Bay Packers. This is about 14 times as many as are waiting for Bears tickets and 12 times the number of people waiting on lion's tickets. About how many people are waiting for chicago bears season tickets?

Answers

Answer:

8786

Step-by-step explanation:

123,000/14 = 8786  Since it is about, I rounded to the nearest whole number.

Given m || n, find the value of x.

Answers

Answer:

x=11°

Step-by-step explanation:

Because line t is 180°, (9x-5)°+(6x+20)°=180°

Simplify:

(9x-5)°+(6x+20)°=180°

9x-5+6x+20=180

15x-5+20=180

15x+15=180

15x=165

x=11

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Please help!!!!
Write an equation in point-slope form that passes through the points (2, 4) and (-3, -6).

Answers

Answer:

uh let's see

Step-by-step explanation:

2,4 and -3,-6

y2-y1/

x2-x1

-6-4

-3-2

-10/-5 = 2

slope is 2

u do the rest I'm tired

Find the probability of rolling a sum greater than 7 given that you rolled an odd number first.

Answers

Answer:

I think the answer is 1/2. Given the first die was odd, you rolled either a 1,3, or 5. Now on the second roll only a 6,4, or a 2 will give you a sum of 7. Given that is half of the sample space of the second die, it is 1/2?

Step-by-step explanation:

4 7/8 + (2 1/6). It’s fractions by the way.

Answers

Answer:

7 and 1/24

Step-by-step explanation:

4 7/8 + 2 1/6

First when adding fractions, we want to have a common denominator. To do that, we must multiply the fractions until we get a desired denominator. We can find LCM.

The LCM of 6 and 8 is 24, so we must multiply accordingly.

We can put this into improper fraction form:

39/8 + 13/6

Then multiply accordingly. Multiply by 3 on both sides for the first fraction, and multiply by 4 on both sides for the second to get a denominator of 24.

117/24 + 52/24

Now, we can add the fractions.

169/24

Simplify

7 and 1/24

"How do we transform System A into System B?
Equation [A1] → Equation [B1]
Equation [A2]→ Equation [B2]
Equation [A1]+Equation [A 2] → Equation [B 2]
Equation [A2]+ Equation [A 1] → Equation [B 1]"

Answers

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform system A into System B ?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step by step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

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order the fraction to least to greatest 2/3 3/7 4/8

Answers

2/3, 4/8, and 3/7. :P

In a clothing store, 50% of the customers buy a shirt, 30% of the customers
buy a pair of pants, and 15% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
A. 0.20
B. 0.18
C. 0.65
D. 0.80

Answers

Answer:

.20

Step-by-step explanation:

because customers are always right

If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find g(f(11))

Answers

Answer:

1

Step-by-step explanation:

g(f(11))

It says in the problem that f(11) = -9

So:

g(-9)

It says again in the problem that g(-9) = 1

So the answer is 1

If 41 and 42 are complementary angles and if the measure of 41 is 50° more than the measure of 42, determine the measures of 41 and 42

Answers

Answer:

m∠1 = 70

m∠2 = 20

Step-by-step explanation:

41 and 42 are complementary angles:  m∠1 + m∠2 = 90

measure of 41 is 50° more than the measure of 42:  m∠1 = m∠2 + 50

substitute: (m∠2 + 50) + m∠2 = 90

simplify and solve:  2(m∠2) + 50 = 90

                                2(m∠2) = 40

                                m∠2 = 20

Find the smallest length that can be divided exactly into equal sections of length 5m,8m and 12m

Answers

As the LCM of 5, 8, and 12, which is 60 so it is the smallest length that can be divided exactly into equal sections of length 5 m, 8 m, and 12 m.

What is an LCM example?

The acronym LCM stands for the least common multiple or factor of any two or more specified integers. The least common multiple for the numbers 16 and 20 is 80, hence the LCM of those two numbers will be, for instance, 2 x 2 x 2 x 2 x 5 = 80.

What is the LCM of 4 and 8?

8 is the LCM of 4 and 8. The LCM is the number that can be divided by the provided numbers equally. You can discover the least common multiple of 4 and 8 by looking at the common multiples. 4 is a multiple of 8, 12, 16, 20, 24, etc.

finding prime factors of the given numbers by repeated division method in order to find the LCM;

2 | 5,8,12

5 | 5,4,6

2 | 1,4,6

2 | 1,2,3

3 | 1,1,3

0 | 1,1,1

so we get 2x5x3x2=60

As the LCM of 5, 8, and 12, which is 60 so it is the smallest length that can be divided exactly into equal sections of length 5 m, 8 m, and 12 m.

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The shortest length which can be split into equal segments of length 5 meters, 8 meters, or 12 meters is 120.

What does "section" signify in terms of forms and purposes?

Your form may be divided into sections with the help of sections, as the name suggests. This enables your users to input responses that might be categorized. The fact that sections divide your form into distinct screens is another significant benefit. For instance, a first screen shows section 1. When concealed lines in external views cannot adequately represent a part's inner design, sections are employed. The internal components can be viewed more clearly by imagining cutting through the thing and removing a section of it.

Briefing:

Finding the LCM by repeatedly dividing the supplied integers to get their prime components:

2 | 5,8,12

2 | 5,4,6

2 | 5,2,3

3 | 5,1,3

5 | 5,1,1

1 | 1,1,1

So we get 2*2*2*3*5*1 = 120

The lowest length that could be divided into precisely equal segments in lengths 5 m, 8 m, and 12 m is 120, which equals the LCM of 5, 8, & 12.

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Apply the distributive property to simplify the expression


8(12x – 20)

Answers

I believe the answer must be 96x-160

Because we have to multiply 8x12 which is 96. and there is x next to it. so keep the x as it is.

and next to it is minus ( - ) sign so keep it as it is.

now we have to multiply 8x20 which is 160.

so if we write it together it will be:

so if we write it together it will be:96x - 160.

Thank you

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