Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.

Answers

Answer 1

Answer:

x = 3

13 miles between Madison and Jamie's house.

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.

(3x + 2) + (3x + 4) = 9x - 3

Let's add up the terms first

3x + 2 + 3x + 4 = 9x - 3

6x + 6 = 9x - 3

Let's move the variables to the right side by subtract 6x from both sides

6x + 6 = 9x - 3

-6x         -6x

6 = 3x - 3

Add 3 to both sides

6 = 3x - 3

+3        +3

9 = 3x

Isolate the variable, x, by dividing both sides by the coefficient, 3.

9/3 = 3x/3

x = 3

Now we need to find the distance between Madison's and Jamie's house.

3x + 4

Plug in 3 in place of the x

3(3) + 4

9 + 4 = 13

Answer 2

Answer:

Step-by-step explanation:

If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.


Related Questions

A pool charges $7 for 2 daily pool passes.
Which table could represent the situation?

Answers

Answer:

Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership.

Option B is the table which could represent the given situation.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

According to the question

A pool charges $7 for 2 daily pool passes.

Using the linear equation y = mx + b

Substitute x = 2, y = 7

[tex]7 = 2m + b[/tex].....(1)

Substitute x = 4, y = 14

[tex]14 = 4m + b[/tex]  .....(2)

Using elimination method

Subtract equation 1 from 2

[tex]14 - 7 = 4m - 2m + b - b[/tex]

[tex]7 = 2m[/tex]

[tex]m=\frac{7}{2}[/tex]

Substitute m = [tex]\frac{7}{2}[/tex] in equation 1

[tex]7=2(\frac{7}{2} )+b[/tex]

b = 7 - 7

b = 0

Substitute b = 0 in equation 1

7 = 2m

Similarly

14 = 4m

21 = 6m

28 = 8m

Hence, Option B is the table which could represent the given situation.

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4/7x7/8. Can somebody help me with this I’m so confused

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{7}{8}[/tex]

Its really easy

Just multiply the numerators and the denominators

[tex]\frac{4*7}{7*8}[/tex]

[tex]\frac{28}{56}[/tex]

Simplify

[tex]\frac{1}{2}[/tex]

I hope this helps!

Convert to decimal form/ 3.1 x 10^6

Answers

Answer:

0.000036 i think it the answer

Does anyone know how to divide a fourth degree polynomial

Answers

Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.

Step-by-step explanation:

The following is the number of oil changes for the last 7 days at the Jiffy Lube located at the corner of Elm Street and Pennsylvania
Avenue.
41
15
39
54
31
15
33
Determine the mean, median, and mode. (Round "Mean" to 2 decimal places.)
Mean
Median
3257
54
Mode

Answers

The average or mean value of a data set is determined mostly by the addition of all data numbers and then divided by the set number of values.The median is the average whenever a dataset is arranged from the least to the highest.The mode is the value most frequently found in a set of data.

Given:

[tex]\to \bold{41,15,39,54,31,15,33}[/tex]

Arrange numbers into ascending order:

[tex]\to \bold{15, 15, 31, 33, 39, 41, 54 }[/tex]

Mean formula:

[tex]M=\frac{\text{total of given number}}{\text{total number}}[/tex]

    [tex]=\bold{ \frac{{15+ 15+ 31+ 33+ 39+ 41+ 54 }}{7}}\\\\= \bold{\frac{228}{7}}\\\\= \bold{32.57}\\\\[/tex]

Median formula:

n=7 that is an odd number then

[tex]=\bold{(\frac{n+1}{2})^{th}} \ term\\\\=\bold{(\frac{7+1}{2})^{th}} \ term\\\\=\bold{(\frac{8}{2})^{th}} \ term\\\\=\bold{(4)^{th}} \ term\\\\ =\bold{33}[/tex]

Mode:

As per the above-given definition its value =15  

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7+6(-8x-7)=3(-6x+8)+1

Answers

Answer:

x = -2

Step-by-step explanation:

7 - 48x - 42 = - 18x + 24 + 1

-35 - 48x = -18x + 25

-48x +18x = 25 =35

-30x = 60

x = -2

Answer:

-2

Step-by-step explanation:

7+6 (-8x-7)=3 (-6x+8)+1

7-48x-42= -18x+24+1

-48+18= 24+1-7+42

-30x=60 then divide the two sides with -30

x= -2

Check all that apply.
x² - 4=0
A. X = -4
U
B. X = 2
DC. X = -2
]
D. X = -1
O E. x = 4
O F. X = 1
A

Answers

Answer:

x=2 (option B)

Explanation

x²-4=0

x²=4

x=2

Given w = 2+2i, Find w+1/w​

Answers

Answer:

0

Step-by-step explanation:

w+1/w=(2+2i)+1/(2+2i)

=(2+2i)+(2+2i)-1

=0

The base of a triangle measures 12 1/2" (twelve and 1/2 inches). The height of the triangle is 27". What is the area (in square inches)?

(Remember A=1/2base x height)

Answers

Answer:

168.75 in²

Step-by-step explanation:

12.5 * 27 = 337.5

337.5/2 = 168.75

If my answer is incorrect, pls correct me!

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-Chetan K

If a dilation produces a congruent figure, then the scale factor was equal to

Answers

Answer:

the answer is 1

Step-by-step explanation:

because I said so

A football team lost 9 yards on each of two consecutive plays. represent the total change as a product of sun numbers and then find the total loss.

Answers

2(-9)=-18
Do the total list is -18 yards

How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.

Answers

9514 1404 393

Answer:

  the graph increases

Step-by-step explanation:

If you read your problem statement, you find it tells you the answer:

  "... point A and then continues to increase through B"

That is, between points A and B, ...

  the graph increases

Answer:

It's option A hope this helps

How do i solve
a·a²·a³

Answers

Answer:

a^6

Step-by-step explanation:

When the same numbers, the power can be just added together

For example

n x n x n =n^3 right?

Ya cuz when they don't put the power, it means to the power of 1

Therefore

a x a^2 x a^3

Just means

a ^ (1+2+3)

=a^6

Answer: a^6

Step-by-step explanation:

Term does not have an exponent so it’s automatically 1. So, a^1xa^2xa^3.

Multiply terms and add their exponents. So, a^1+2+3z

Add all exponents and you get 6. So, a^6

Find the midpoint of points A(-4,0) and B(3,-10) graphically.

Answers

Answer:

(7,10)

Step-by-step explanation:

(7, 10) , hope this helps

In Ted's class, students were asked to name their favorite sport. Football was the response of 1/8 of them. If 3 students said football, how many students are in Ted's class?

Answers

24 Students

If 1/8 of the total is 3, then the total is 3 multiplied by 8 = 24

        Another way:

1/8= 12.5%

 12..5%_____3

     100%_____x

Cross multiplication

12.5x =3x100(300)

X=24

   12.5% of 24 = 3

There are 24 students in Ted's class.

Given that;

In Ted's class, students were asked to name their favourite sport.

And, Football was the response of 1/8 of them.

Let's assume the total number of students in the class is represented by "x".

According to the information given, 1/8 of the class said football, which means (1/8) × x students named football.

We also know that 3 students said football.

So, we can set up the equation:

(1/8) × x = 3

To solve for x, we can multiply both sides of the equation by 8:

x = 3 × 8

x = 24

Therefore, there are 24 students in Ted's class.

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If a stock valued at $40 per share increases by 20% and then decreases by 25% what is the resulting value of the stock?

Answers

Answer:

$36

Step-by-step explanation:

The stock value of $40 increased by 20%.

Increased value

= 20% of $40

= (20/100) × $40

= $800/100

= $8

New stock value

= Initial value + increased value

= $40 + $8

= $48

Then, the value decreased by 25%.

Decreased value

= 25% of $48

= (25/100) × $48

= $1200/100

= $12

New stock value

= Initial value + decreased value

= $48 - $12

= $36

So, the resulting stock value is $36.

Answer:

The resulting value of the stock is $36.

Step-by-step explanation:

First, we need to find out what 20% of $40 is.

40 x 0.20 = 8

40 + 2 = $48

Therefore, the stock value, when increased, is $48.

Now, we need to see what 25% of $48 is.

48 x 0.25 = 12

48 - 12 = $36

Therefore, the resulting value of the stock is $36.

i need help with this equation.


g= -2+2a

Answers

Answer: a= [tex]g+2 / 2[/tex]

Step-by-step explanation:

g= -2 + 2a

>> -2+2a=g ( side change )

>> -2+2a +2 = g+2 ( adding 2 both side)

>> 2a = g+2

>> 2a /2 = g+2 /2 ( divide by 2 both side)

>> a= g+2 /2

Does the table represent a function? Why or why not?

Answers

Answer:

A.

Step-by-step explanation:

one x value cant go to two y values

Answer:

No....Not at all

You can select option A as the correct answer

Step-by-step explanation:

There can be two possibilities

x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variable

From the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable

For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3

So this can't be a function

For possibility 2, For y = 3 and 2, x = 5

So this can't be a function

Hope you have understood this.....    

ask me if you have any confusion.....    

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Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

X-8=-9

Answers

Answer: (a) x = -1

Step-by-step explanation:

Given

x - 8 = - 9

Add 8 on both sides to isolate x

x - 8 + 8 = - 9 + 8

[tex]\boxed{x=-1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A Shape Question 5 options: 13 yd.² 314 yd.² 251 yd.² 503 yd.²

Answers

Answer:

What is question? surface area of upright part of cylinder is approx 314 sq yd.  Surface area of entire cylinder is approx 471 sq yd, which isn't a choice.

Step-by-step explanation:

Assuming you're looking for surface area of cylinder (since answers are in sq units), you would need to find the area of the top and bottom circles, and the rectangle made by flattening out the upright part of cylinder.

Area of a circle is πr^2 so area of bottom is 25π and of both circles is 50π which equals approx 157.08 sq yd.

The rectangle formed from the upright part would have a width of 10 yds and a length equal to circumference of the circle.  Since C = πd, C is approx 31.4yd.  A = l x w so A = 31.4 x 10 or approx 314 sq yd.

If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
A.
The area of rectangle A is k3 times the area of rectangle B.
B.
The area of rectangle A is k times the area of rectangle B.
C.
The area of rectangle A is 2k times the area of rectangle B.
D.
The area of rectangle A is k2 times the area of rectangle B.

Answers

Answer:

B

Step-by-step explanation:

the area of triangle A is k times the area of triangle b

3kg of rump steak costs 42 pounds adel buys 4kg of rump steak work out how much adel pays

Answers

Answer:

I think it's 56 pounds but I could be wrong

The human body is 65% oxygen, 18% carbon, and 10% hydrogen. The rest is other
elements. What percent is composed of other elements?

Answers

Answer:

7% of composed of other elements

Step-by-step explanation:

you have to add the percentages you have then fi d the missing amount

Answer:

7%

Step-by-step explanation:

65 + 18 + 10 = 83 + 10 = 93

100- 93 = 7

7%

∆RMQ ≅∆RMS by __________ congruence criterion

SAS
SSA
AAS
SSS​

Answers

[tex] \huge \pink{ \underbrace { \overbrace { \ SAS}}}[/tex]

there are 5 boys to every 6 girls. if there are 385 students how many are boys?​

Answers

The ratio of boys to girls is

5:6

So if we do that for 385 students the ratio would show 462 girls

Pls give me a brainliest if this helped thx

Please help with this equation:

4.5(8-x)+36=102-2.5(3x+24)

Answers

answer

x=14

Step-by-step explanation:

4.5(8-x)+36=102-2.5(3x+24)

36-4.5x+36=102-7.5x-60

-4.5x=42-7.5x

7.5x-4.5x=42

3x=42

x=42/3

x=14

Find the length of segment GH.

Answers

Answer:

it's 21-12 which is equal to 9

full length minus length f- g
21-12=9

The density d kg/m3 of a cube of mass m kilograms and side length x meters is given by the formula:  What is the value of d if m = 40 and x = 0.2?​

Answers

Answer:

5000kg/m3

Step-by-step explanation:

Its easy to get the answer of a question from the unit.

So, it will be mass over metre cube.

Therefore, m=40kg x= (0. 2)^3 =0. 008m

40/0. 008 = 5000kg/m^3

Write the range of the function given in the graph in interval notation.

Answers

9514 1404 393

Answer:

  (-4, 8]

Step-by-step explanation:

The vertical extent of the graph is ...

  -4 < y ≤ 8

In interval notation, the range is (-4, 8].

__

Additional comment

There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.

Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.

Answers

L=6x+3B=-2x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]

[tex]\\ \rm\longmapsto Perimeter=2(4x-2)[/tex]

[tex]\\ \rm\longmapsto Perimeter= 8x-4[/tex]

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