Simplify the following expression.

(13x + 9y) + (38x + 33y)
-----------------------------------
22x + 42y (A)

22x + 46y (B)

51x + 42y (C)

51x + 46y (D.)

Answers

Answer 1

Answer:

C: 51X+42Y

13x + 38x + 9y + 33y

adding,

51x + 42y so option C

Answer 2
1) take away the brackets and distribute the plus:
13x + 9y + 38x + 33y

2) add the like terms
13x + 38x + 9y + 33y
= 51x + 42y

Related Questions

Kyrail is 12 years old and is twice as old Aiden who is 2 years younger than maya.how old is maya?

Answers

      Of all of the common assumptions that we discussed in class, I think one of the most common is the idea that a children’s text should in some way teach the reader something.  We of course talked about the term didactic, and how a didactic book strongly pushes a lesson onto the reader, telling them that they should believe this or that.  Many times a reason for that lesson isn’t even given, as though the young person reading the book should just accept that lesson because they are told to, because the other knows better.  As I was reading Cat in the Hat by Dr. Seuss, the book I selected for the assignment, I was hoping that it wouldn’t be as didactic as most other children’s books, and that it would be as playful and exciting as I remember as a child.  On the last two pages of the book, however, the absent mother returns home, the cat has disappeared, the children are behaving nicely, sitting in chairs, and it is pretty obvious that even though they got into mischief they are still good children after all.  Nothing really has changed at the end of the book.  Although all sorts of things got played with, and the children broke the rules I am sure they know about (like, “Don’t fly kites in the house”), major boundaries were never crossed.

           We talked about how the opposite of a didactic book might be an ambiguous book, or a book that encourages the reader to think about issues, to make decisions for themselves.  In that kind of book, the author usually wants to the reader to think for her or himself, to understand that some things are difficult, even for adults.  The author may present a problem and ask you what you think, or might just never come around to saying exactly what you are supposed to believe.  The last page of Cat in the Hat ends with the narrator saying, referring to the mother, “Should we tell her about it? / Now what SHOULD we do? / Well . . . / What would YOU do / If your mother asked you?” (61).  In some ways, this is probably a pretty ambiguous ending.  The author asks the reader that if your mother left, if someone wanted you to do what you weren’t supposed to, if you did it anyway, and if you didn’t get caught, then would you tell your mother or father what happened?  Most adults wouldn’t tell what happened themselves, but the question is there anyway, and it seems to be really asking children what they believe.

           But it doesn’t seem really that ambiguous.  If the book were really ambiguous it would be breaking the Typical Case Prototype of children’s books, and in almost every other way the book keeps to those prototypes.  As Nodelman describes it, children’s books are typically bright, colorful, funny, entertaining, and maybe sometimes rhyming.  Children’s books portray children as the way adults typically think of them, as crazy kids who aren’t serious like adults, or innocent angels who would never really do any harm when they play.  Dr. Suess portrays typical kids, bored by the rain, wanting to do something wild.  Although Seuss’s style is strange, the children even look like the sort of standard white children that appear in most books, the girl in a dress and ribbon in her hair.  We saw in class how these children are a lot like the standard one’s in Cassie’s history textbook  And although strange things happen in the book – a talking cat, a couple of strange Things, a lot of things getting thrown around – it is the kind of play we come to expect in children’s lives, especially in the sorts of standard things shown on television and in movies.

           In fact, the children never quite seem to trust the Cat, and they always just sort of watch him play.  The children never really do anything that crazy themselves.  The Fish, who sounds a lot like an adult, is always there to warn them, and in the end everything gets cleaned up.  Of course the book is fun and playful, and is obviously one of the most famous and liked picture books ever made, but it is still pretty straightforward.  Cat in the Hat reinforces and demonstrates almost all of the typical assumptions about childhood, and it fulfills all of the typical case prototypes of children’s books.  Examining it made me think about how the book might have changed in recent years, especially since children are rarely bored when they are at home any more (with all of the stuff they own to play with).  But more than that, it made me think about why we expect all children’s books to be like this, why it is always considered one of the best books for children.  Although I like typical children’s books, it makes me also interested in books that don’t do what we expect.  The book was written 1957, and in so many ways children’s books have become so incredibly different since then.  But in a lot of other ways, some good, some bad, they haven’t changed at all.    

Answer:

Maya is 8 years old.

Step-by-step explanation:

12 = 2a

Aiden is 6 years old.

a + 2 = m

6 + 2 = 8

Maya is 8 years old.

Find the difference of 6.761 x 1012 and 4.1 x 1012. 2.661 x 100 6.351 x 100 2.661 x 1012 6.351 x 1012

Answers

The difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].

What is subtraction?

Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.

Given that 6.761 x [tex]10^{12}[/tex], 4.1 x [tex]10^{12}[/tex]

We need to find the subtraction value of these expressions

Now 6.761 x [tex]10^{12}[/tex] [tex]-[/tex] 4.1 x [tex]10^{12}[/tex]

    = 2.661x [tex]10^{12}[/tex]

Therefore, the difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].

Hence, option (c) is correct.  

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Complete question

Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.

(a) 2.661 x 10 ^0

(b) 6.351 x 10 ^0

(c) 2.661 x 10 ^12

(d) 6.351 x 10 ^12

Please Help!!
Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.
6x^(2)-x-2=0

Answers

the discriminant is:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

How to find the discriminant?

For the general quadratic equation, the discriminant is:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

In this case, the quadratic equation is:

6*x^2 - x - 2 = 0

Then we have:

a = 6, b = -1, c = -2

Replacing that in the discriminant equation:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

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Select the correct answer.
Which expression is equivalent to the given expression?


45
A.

9

5
B.

3

5
C.

5

3
D.

5

9

Answers

The expression which is equivalent to the given expression is option B. 3(5)^1/2

What is a surd?

A surd is a topic which involves expressing a given number with a square root. Thus to arrive at the final expression, the answer is either a whole number or an expression involving a square root.

When a question involving a square root is given, the answer is a number which should be squared to give the same value in the given question.

Given: 45^1/2

we have;

45^1/2 = (5 x 9)^1/2

           = 3(5)^1/2

So that the expression which is equivalent to the given expression is option B. 3(5)^1/2

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The expression that is equivalent to the given surd expression is; Option B. 3√5

How to solve surd problems?

In Mathematics, surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Thus, surds can be classified as  irrational numbers.

The question gives the surd expression as √45.

Now, according to surds product rule, we know that;

√45 = √(9 * 5)

= √9 * √5

= 3√5

Thus, we conclude that is the final simplification of the given surd expression.

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Ryan is riding his bike. he biked a distance of 12 miles at a rate of 4 miles per hour. rearrange the distance formula, d = rt, to solve for ryan's time in minutes. (1 hour = 60 minutes) 480 minutes 180 minutes 8 minutes 3 minutes

Answers

(B) 108 minutes is Ryan's time.

What do we mean by the distance formula?Distance is a numerical measure of the distance between two objects or points. The distance can be a physical length or an estimate based on other criteria in physics or everyday usage. The distance between two points A and B are sometimes denoted as |AB|.The distance formula: d = rt

So,

To begin, consider the distance formula: d = rtDividing by the coefficient of t yields the following equation for t: t = d/r

Ryan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.

Ryan's time:

 t = (12 mi)/(4 mi/60 min) = 12·60/4 min = 180 min

Therefore, (B) 108 minutes is Ryan's time.

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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.

a. 480 minutes

b. 180 minutes

c. 8 minutes

d. 3 minutes

m Ixl math...............

Answers

Answer:

baby help you with what? All i can do is pray for you,

Step-by-step explanation:

matter of fact bow yo head..............Amen

If a leinear system has more unknowns equations then it must hav einfinitely many solutions.
a. true
b. false

Answers

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If there is only one equation with more than one parameter, then the number of the solution will be infinite.

If a linear system has more unknown equations then it must have infinitely many solutions, which is true.

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Evaluate the expression 4 with small 4 on top

Answers

Answer:

256

Step-by-step explanation:

That just means to multiply the number by itself 4 times.

4 x 4 = 16 x 4 = 64 x 4 =  256

Ava had a budget of $340 to remodel her kitchen. After Ava finished, the cost was 25% more than her budget. What was the total cost to remodel Ava’s kitchen?

Answers

The answe is $425. I hope this helps. :) have a good day.

6. The formula for the perimeter of a
rectangle is P = 2L + 2W.

a. Solve the equation for W.

b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.

Answers

Step-by-step explanation:

work is shown and pictured

Expand and combine like terms.
(8x^4 + 1)² =

Answers

The answer is 64x^8+16x^4+1
Hope this helps:)

Form a hypothesis to explain why the melting points of different solids vary.

Answers

Answer:

Different solids have different melting points depending on the strength of bonding between the particles and the mass of the particles. Essentially, the heavier the particles in the solid, and the stronger the bonding, the higher the melting point.

Step-by-step explanation:

Hope this helps!

7 7/9 as an improper fraction

Answers

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


[tex]\mathsf{7 \dfrac{7}{9}}[/tex]

[tex]\mathsf{= \dfrac{7\times9 + 7}{9}}[/tex]

[tex]\mathsf{= \dfrac{63 + 7}{9}}[/tex]

[tex]\mathsf{= \dfrac{70}{9}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{{\dfrac{70}{9}}}}\huge\checkmark[/tex]



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


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

A composite figure is shown.
6 ft
6 ft
6 ft
20 ft
What is the total surface area of the figure?
A. 180 sq ft
B. 60 sq ft
C. 480 sq ft
D. 720 sq ft
4 ft

Answers

The total surface area of the given figure is 720 ft² that is option (D).

The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .

Let us divide the given Composite figure into three parts ,

Part(a) = top part having shape of pyramid

First we will calculate the LSA of the top pyramid.

Given that

base = 6ft

perpendicular distance = 4ft

Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]

On substituting the values we get

l=√(3²+4²)

l=√25

l=5 ft

LSA of pyramid = (1/2)* perimeter of base * slant height

Substituting the values we get ;

=(1/2)*(4*6)*5

=60 ft²         ....(i)

Part (b)

the 2nd part is a rectangular prism with length = 20 ft

and breadth = 6 ft

Surface area of rectangular prism = 4*Area of side

                                                         =4*20*6

                                                         =480 ft²       ...(ii)

Part(c)

The last part is a cube with only 5 sides of side 6ft.

Surface Area of the cube = 5*Area of side

                                           =5*6*6

                                           =180 ft²     ....(iii)

Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism  + Surface Area of the cube

Substituting the values from equation (i) , (ii) and  (iii) we get ,

Total surface area of the figure = 60+480+180

                                                     =720 ft²

Therefore , the total surface area of the given figure is 720 ft².

hence option (D) 720sq ft is correct.

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Find the value of x and YZ if Y is between X and Z.
XY = 12, YZ = 2x, and XZ = 28

Answers

Answer:

x = 8 and YZ = 16

Step-by-step explanation:

since Y is between X and Z , then

XY + YZ = XZ , that is

12 + 2x = 28 ( subtract 12 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

and YZ = 2x = 2 × 8 = 16

Help me Help me Help me Help me Help me


ANSWER THE FOLLOWING QUESTIONS:
1. What are the missing numbers?
2. Does it show a pattern?
3. Describe the pattern.​

Answers

Answer:

Week 1 =11

Week 2 = 9

Week 3 = 7

Week 4 = 5

Week = 3

11 + 9 + 7 + 5 + 3 = 35

Pattern: She is losing 2 less pounds each week. There is a pattern.

four friends attend the cinema and buy tickets using this offer. buy 3 tickets and get a ticket free they each play £6.30.
how much does a ticket cost?

Answers

In linear equation, £ 8.4 much does a ticket cost.

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

They each pay £ 6.30

the total they pay is

6.3 × 4 = £ 25.2

buy three tickets and get a free ticket

3 tickets is £ 25.2

25.2/3 = £ 8.4

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3. Which statement is true about a translation?


A) A translation takes a line to a parallel line or itself.

B) A translation takes a line to a perpendicular line.

C) A translation requires a center of translation.

D) A translation requires a line of translation.

Answers

A) A translation takes a line to a parallel line or itself.

Answer: A) A translation takes a line to a parallel line or itself.

Step-by-step explanation:

1) 6х - 4 = 5х - 11 ; ??


2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??

Answers

Answer:

1 ans

Step-by-step explanation:

6x - 4 = 5x-11

6x- 5x = -11+ 4

x = -7

Two shops rent pairs of skis for a rental fee plus a fee
per hour. The table shows the total costs (in dollars)
for different numbers of hours at Shop A. The total
costy (in dollars) for x hours at Shop B is
represented by the equation
y = 2x + 8.
Which shop charges less per hour?
• Shop A
O Shop B
How many hours must a pair of skis be rented for the total costs to be the same?
The total costs are the same when a pair of skis is rented for
hours.
PLS HELP

Answers

Using linear functions, it is found that:

Shop B charges less per hour.The total costs are the same when a pair of skis is rented for 3 hours.

What is a linear function?

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

For Shop A, we have that the slope is of 3, as the cost increases by $3 an hour, hence:

yA(x) = 3x + b.

When x = 1, y = 8, hence we find the intercept b as follows:

8 = 3 + b

b = 5.

Hence:

yA(x) = 3x + 5.

For Shop B, the rule is given as follows:

yB(x) = 2x + 8.

Due to the lower slope, we have that:

Shop B charges less per hour.

The costs will be the same when:

yA(x) = yB(x).

Hence:

3x + 5 = 2x + 8

x = 3.

The total costs are the same when a pair of skis is rented for 3 hours.

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If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []

Answers

F(x+2) =(x+2)^2 -1
Put g into f
X^2 +4x +4 -1
So it would be

X^2 +4x +3

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-9)^{\circ}∠A=(2x−9) ∘ and m\angle B=(2x+21)^{\circ}∠B=(2x+21) ∘ , then find the measure of \angle A∠A.

Answers

Answer:  75 degrees

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

Work Shown:

A+B = 180 since the angles are supplementary

(2x-9)+(2x+21) = 180

4x+12 = 180

4x = 180-12

4x = 168

x = 168/4

x = 42

Then,

A = 2x-9 = 2*42-9 = 75 degreesB = 2x+21 = 2*42+21 = 105 degrees

As a check, A+B = 75+105 = 180 to confirm the answer.

Given the following rate law, how does the rate of reaction change if the concentration of x is doubled? rate = k [x]2[y]3

Answers

The rate of reaction will increase by a factor of 4. The correct option is D.

What is the rate of reaction?

In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.

In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.

The rate of reaction will be calculated as below:-

Rate (R) = k[x][y]²

R' = k[x][2y]²

R'=4k[x][y]²

R'=4R

Hence, the rate of reaction will increase by a factor of 4.

The complete question is given below:-

Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2

A) The rate of reaction will increase by a factor of 2.

B) The rate of reaction will increase by a factor of 5.

C) The rate of reaction will increase by a factor of 4.

D) The rate of reaction will decrease by a factor of 2.

E) The rate of reaction will remain unchanged.

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Evaluate the function.
ƒ(x) = −3x² + 10x + 13
Find f(-1)

Answers

Answer:

find the inverse of the following function. The Domain and Range of inverse

a) f(×)=× b) f(×)=׳-4

Multiply. Write the answer in simplest form.
13/18 x 6/7

Answers

Answer:

13/21

Step-by-step explanation:

Solving steps

13/18 × 6/7

Simplify the expression

13/3 × 1/7

Multiply

Solution:

13/21

Alternative Form

0.619047

The answer in simplest form 13/18 x 6/7 = 13/21

To find the answer in simplest form 13/18 x 6/7

Simplify this, multiple nominator to nominator and denominator to denominator

(13 × 6)/(18 × 7) = 78/126

Now, reduce the fraction divide by 6,

we get,  78/126 = 13/21

Therefore, the final answer is 13/21.

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Four fractions equal to 0.25

Answers

Four fractions equal to 0.25 would be:

• 1/4
• 2/8
• 25/100
• 5/20

0.25 is the equivalent of 25%. 1/4 is a representative of this because 100 / 4 = 25.

2/8 is a reducible fraction, meaning it can be reduced because it has two even numbers. When dividing the numerator and denominator by 2, we will find that:

2/8 = 1/4

As covered earlier, we know 1/4 = 0.25.

25/100 is equivalent to 0.25 because we know two places to the right of the decimal point is representative of a hundredths place value. With that in mind, we can put the number 25 over a denominator of 100 to find that 25/100 also equals 0.25.

5/20 is equivalent to 0.25 because upon division by 5, we can find that:

5/20 = 1/4

Final answer(s): 1/4, 2/8, 5/20, 25/100

The entire area under the standard normal distribution curve? can be any value cannot be negative can be any positive value can be any positive value larger than 1

Answers

The  entire area under the standard normal distribution curve is always positive even if the z value is negative.

The normal distribution, it's useful to think of the standard deviation as being steps away from the mean. One step to the right or one step to the left is considered one standard deviation away from the mean. Two steps to the left or two steps to the right are considered two standard deviations away from the mean. Likewise, three steps to the left or three steps to the right are considered three standard deviations from the mean.

The probability of the outcome of an experiment is never negative, although a quasi probability distribution allows a negative probability, or quasi probability for some events. These distributions may apply to unobservable events or conditional probabilities.

Therefore,

The value can be negative can be any positive value can be any positive value larger than 1.

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3. Which of the following is an incorrect way to label the line in the diagram below?

Answers

Answer: The incorrect label is (line g)

Step-by-step explanation: Line G is incorrect because G is a point. All the other options describe a line.

Find the value of x in the equation. 3/4 (8x-6) -2= 1/2-x

Answers

In linear equation,  the value of x in the equation is 20/11.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

3/4 (8x-6) -2= 1/2-x

24x - 18 - 2/4 = x/2

24x - 20/4 = x/2

2(24x - 20) = 4x

48x - 40 = 4x

48x - 4x =40

44x = 40

x = 40/44

x = 20/11

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Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.

Answers

Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.

The correct option is B.

Briefing:

The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.

The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.

What exactly does it mean to have a moderate correlation?

Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.

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I understand that the question you are looking for is:

Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.

a. weak negative

b. moderately positive

c. weak positive

d. strong positive

Other Questions
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