In the diagram below, the expression in each circle is the result of the sum
of the two rectangles connected to it.
Complete the diagram, writing the expressions in their simplified form.
4x + 3y- rectangle
5x + 7y
x + 4y
4x + 5y
2x - y

In The Diagram Below, The Expression In Each Circle Is The Result Of The Sumof The Two Rectangles Connected

Answers

Answer 1

Answer/Step-by-step explanation:

The circle by your left:

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

Distribute +1

4x + 3y + 2x - y

Add like terms together

6x + 2y

The rectangle by at the bottom right:

(4x + 5y) - (x + 4y)

Distribute -1

4x + 5y - x - 4y

Group like terms

4x - x + 5y - 4y

3x + y

The circle at the bottom middle:

(2x - y) + (3x + y)

Distribute +1

2x - y + 3x + y

Group like terms

2x + 3x - y + y

5x


Related Questions

three numbers that have 2, 4, and 8 as factors. What other factors do these numbers have in common?

Answers

8, 16, 24, 32, 7992, and 8008 all have 2, 4, and 8 as factors

Currently, Trevon is three times as old as Janice. In four years, the sum of their ages will be 48. If Janice's
current age is represented by n, which of the following equations could be used to correctly solve for n?

Answers

Answer:

n+3n+4=48

Step-by-step explanation:

Hey I have a question for y’all, what helps build preseverance in your opinion ?

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Answer:ummm......

Step-by-step explanation:

what ur questions I don't get it

Jody decides to ride her bike from her house to the park. The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike. Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0, and when Jody reaches the park f(2) = 30. From the information given, determine whether each statement is a correct interpretation that can be made about Jody's bike ride. Select Correct or Incorrect for each statement. Correct Incorrect It takes Jody 2 hours to bike to the park. The park is located 2 kilometers from Jody's house. When Jody is at her house she has biked for 0 hours.

Answers

Answer:

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Step-by-step explanation:

We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.

f(t)= Distance covered in t hours

t = time in hours

Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0

So, Distance covered in 0 hours is 0 km

So, When Jody is at her house she has biked for 0 hours

Jody reaches the park f(2) = 30.

So, Distance traveled in 2 hours is 30 km

So, It takes 2 hours to reach park

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Answer:

1. Correct

2. Incorrect

3. Correct

Step-by-step explanation:

the other dude said it lol

Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2


Answers

Answer:

-(x(2x squared-8x+3))/(x-1)(x+3)

Step-by-step explanation:

This can't be simplified very far, but the answer is above. Hope it helps!

The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

WE need to simplify the given;

[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Then;

[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]

Therefore,

[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]

[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]

[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]

[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]

Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

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Divide. -4 1/3 divided by 2 3/5

Answers

The answer is: -1.66666666667 to be exact


Find the domain and the range of each relation. Use the vertical
Line test to determine whether each graph is the graph of a function.

Answers

Answer:

29) x> or equal to 0 and y= all real number

30) x= all real y> or equal to 0

What is the capital of peru

Answers

Answer:

☆<《HOPE IT WILL HELP YOU 》>☆

Step-by-step explanation:

capital of Peru is Lima

HELP!!!!!
answer asap! this is due in two hours!!

Answers

Answer:

it is 56

Step-by-step explanation:

there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56  hope it helps

John's sister is twice his age. In 5 years the sum of their ages will be 31. How old are John and his sister now? Briefly explain how you arrived at your answer.

Answers

Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.

x = 2y

To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.

x + y = 27

The sum of their ages is 27, and we can substitute the value of x here to figure out y.

2y + y = 27

We can now simplify this, and get y by itself.

3y = 27

Now, we can divide by 3 to get the y by itself.

y = 9

We now know that John’s sister is 9.

Now, using our original equation, we can substitute in the value of y.

x = 2(9)

We can simplify this.

x = 18

John’s age is 18!

Hope this helps.

An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.

Answers

Full question attached

Answer

Option A: the median is greater than the mean and the distribution has only one outlier

Explanation:

From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data

Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest

Answers

if you do $62 minus $35 it’s 27 and 27 divided by 4 is 6.75 so the raffle tickets are $6.75

Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?

Answers

32 divided by 4= 8
So 8 trips in total

Daniel will take 8 trips.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now it is given that,

Number of boxes = 32

Number of boxes can be carried in each trip  = 4

So, Number of trips = Number of boxes / Number of boxes can be carried in each trip

⇒ Number of trips = 32/4

⇒ Number of trips = 8

this is the required number of trips Daniel will take.

Thus, Daniel will take 8 trips.

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Michael is renting a bicycle for $12 per hour. How many cents per minute?

Answers

Answer:

0.20

Step-by-step explanation:

lines of best fit (regression lines) must touch all dada points on a scatter plot

true or false ​

Answers

Answer:

False

Step-by-step explanation:

A regression line tries to average out all data points, so it may not touch any of them.

If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child

Answers

Answer:

40.

Step-by-step explanation:

Find the measure of angle b

Answers

Answer:

40 degrees

Step-by-step explanation:

180-140=40

Answer:

40° that's the answer hope I helped

Bethany uses the equation d=3.75h to find the distance, d, she travels while walking for h number of hours. what is the constant of proportionality between d and h? show your work

Answers

Answer:

The constant of proportionality between d and h is 3.75

Step-by-step explanation:

The direct proportionality function is called any function in which the dependent variable (y) is obtained by multiplying the independent (x) by a constant value. This type of function is more commonly called a linear function and has an expression of the form:

y=m*x

The value m is a constant called the constant of proportionality or the slope of the line and represents the inclination of the line with respect to the abscissa axis, that is, the x axis. Graphically this linear function is a line with slope m that passes through the origin of coordinates, that is, the point 0 in x and 0 in y, which is the point (0,0).

You know that Bethany uses the equation d=3.75*h to find the distance, d, she travels while walking for h number of hours.  Comparing with the direct proportionality function y = m * x, then y is represented by the distance d, x is represented by the number of hours h and the constant of proportionality or slope m is the number 3.75.

So, the constant of proportionality between d and h is 3.75

Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?

Answers

okay that's alll guess

If a room has 28 people in it, how many people Are in a room 14 times it’s size?

Answers

Answer:

392

Step-by-step explanation:

times 28 by 14 and youll get 392 - may i get brainliest :)

Answer:

392 people would be in the room

Step-by-step explanation:

you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together  112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392

write an equation for the line Below​

Answers

Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

What is the slope of the line on the graph
ОА. 5/9
OB. 5/7
OC. 7/5
OD. 9/7

Answers

B I think 5/7 should be

If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?

Answers

Answer:

15

Step-by-step explanation:

6x +2 =5x +17

6x - 5x =17 - 2

x =15

unique solution

At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.

Answers

4.4 inches because you do 23 minus 45 and that’s 22 so 22 is how much snow fell between 2pm and 7pm and that’s a 5 hour difference so you do 5 divided by 22 witch is 4.4 inches :)

A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?

Answers

Answer:

Step-by-step explanation:

two angles are said to be supplementary if their sum is 180 degrees

Hence <1 + <2 = 180

Given

<1 = 28

Required

<2

Substitute into the formula

28+<2 =180

<2 = 180-28

<2= 152

Hence the measure of <2 is 152 degrees

Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?

Answers

5 tickets I’m pretty sure

Answer:

5 tickets

Step-by-step explanation:

45.50t + 14.99 = 242.49

          -14.99      -14.99

           45.50t = 227.5

                    t  = 5

a store sells jump rope. Each jump rope cots the sa

Answers

You haven't finished the question.

You need to finish the question before it can be answered.

Add.

0.125 + 0.25 + 0.33

Answers

Answer:

0.705

Step-by-step explanation:

Answer: the answer is .705

Step-by-step explanation:

the numbers 0.25 and 0.33 are technically 0.250 and 0.330

so just line them up and add. 0.250+0.125+0.330=0.705

Titus took 30 minutes to walk 2 miles at a constant rate. Let d represent the distance Titus walks in miles after t minutes. What are two different constants of proportionality for the relationship between distance, in miles, and time, in minutes?

Answers

Answer:

15 and 1/15

Step-by-step explanation:

Given

Time (t) = 30 minutes

distance (d) = 2 miles

To determine the first constant of proportionality

Let time be directly proportional to distance.

t = kd

Where k is the constant of proportionality

Make k the subject

k = t/d

Substitute values for t and d

k = 30/2

k = 15

To determine the second,

Let distance be directly proportional to time.

d = kt

Make k the subject

k = d/t

Substitute values for d and t

k = 2/30

k = 1/15

Hence, the constant of proportionality are

15 and 1/15


$8000 is compounded semiannually at a rate of 7% for 20 years.

Answers

i calculated 31674.08 may i please get brainliest for my work
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