If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6


Related Questions

Add. *

A rancher uses a water bowl for her dog that holds 8,500 milliliters and a water trough for her
horse that holds 2.7 X 10 milliliters. How many milliliters of water will the rancher use to
completely fill both the bowl and the trough?
A 1.12 x 105 mL
B 2.785 X 10 mL
C 5.8 x 10 ml
D 1.12 x 10 ml

Answers

The answer is C 5.8 x 10 ml

-5x-y=7 how do I show my work

Answers

Step-by-step explanation:

show yourself simplifying into y=mx+b format

Are these expressions equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.

El numero de suscriptores a un periodico fue de 200000 en 1998 y de 350000 en el año 2001. Suponiendo que la relacion es lineal, ¿cual seria el numero de abonados en el año 2006?

Answers

Answer:

I can't understand your language

What is 867.8916 to the 1/3 power

Answers

Answer:

-867.8916

Step-by-step explanation:

1 ^3= -1×867.8916

- 867.8916

Three girls-- Kali, Annie, and Xiaoling -- go on a trip with their youth orchestra. The three girls share the cost of the hotel. The bill comes to $295.48. It includes $13.25 for some food that Annie orders and $14.00 for cleaning Xiaoling's uniform. What is the dollar amount of each girl's share of the hotel bill?

Answers

Answer:

About $107.57

Step-by-step explanation:

if you add up the bill cost and the 13.25 for the food and 14.00 for cleaning Xialing's uniform its $322.73 divide that between the 3 girls and you get about 107.57

Each girl would pay Kali = $89.41

Annie = $102.66

Xiaoling  = $103.41

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Foe example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Total bill amount = $295.48

Now, the amount excluding the amount of food ordered by Annie

= 295.48 - 13.25

= $282.23

and, the amount excluding Cleaning amount

= 282. 23 - 14

= $268.23

So, Each Girl would pay

Kali = $ 268.23 / 3 = $89.41

Annie = 89.41 + 13.25 = $102.66

Xiaoling = 89.41 + 14 = $103.41

Learn more about Unitary Method here:

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Eric put money into an account that earns interest each year. The expression 200 (1.05)t models the amount of money he has in the account after t years. What does 200 represent

Answers

200 represents how much money was Initially put into the account

Is a decimal and integer

Answers

Answer:

Integers are whole positive numbers and whole negative numbers decimals are not integers.

Step-by-step explanation:

Answer:

No, a decimal is a Rational number. Integers are whole numbers.

Step-by-step explanation:

Real number system Diagram Below

Colleen is 15 years from retiring. She opens an account at chas. She plans to deposit 10,000 each year

Answers

Answer:

150,000

Step-by-step explanation:

15x10000=150,000

Answer:

$150,000 - Make sure to read my explanation

Step-by-step explanation:

You didn't include the question, but I'm just gonna guess that you what to know how much money she will have deposited by the time she retires. This is just a simple multiplication problem if so.

15 * 10,000 = $150,000

In conclusion she will have saved 150,000 by the time she retires. Sorry If I guessed the question wrong.

What is the slope of the equation: y = -3x +7

Answers

The slope of the equation is -3.

Find the mode:
4,5, 4, 3, 5, 1, 6

Answers

Answer:

4 and 5

Step-by-step explanation:

The mode in a given  set of data is the number that appears the most.

4 appears twice

5 appears twice

3 appears once

1 appears once

6 appears once

the mode is 4 and 5 because it appears the most

Which one of these numbers is in the solution set of x - 12= 3? Apex

A. -9
B. 9
C. 15
D. 4

Answers

Answer:

c.15

Step-by-step explanation:

x-12=3

-12+12

 3+12

 x=15

For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?

Answers

Answer: 0.1587

Step-by-step explanation:

Given : The distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases.

i.e. [tex]\mu=1200,\ \ \sigma=200[/tex]

Let X denotes the number of purchases per hour.

Then ,

[tex]P(X>1400)=P(\dfrac{X-\mu}{\sigma}>\dfrac{1400-1200}{200})\\\\=P(Z>1)\ \ \[Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\\ =1-0.8413\ \ [\text{By p-value table}]\\\\= 0.1587[/tex]

So, the proportion of hours will the number of purchases at the online store exceed 1,400 =0.1587

Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to show the distributive property applied to this expression.

Answers

In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

Y= 2/3x -3 y=-3/2x +2 which statement about these lines are true A. The lines are the same B. The lines are parallel C. The lines are perpendicular D. The lines intersect but not perpendicular

Answers

C. The lines are perpendicular

Answer: the lines are perpendicular

Plrase help ya'll I am going to rip my hair out i'm overthinking

Answers

Answer: 31

Step-by-step explanation:

add the 2 lengths of the given parts.

Answer:

jk+kl=kl

15+16=31

mark it as brainliest!!!

IF YOU HELP WILL MAKE BRAINLYIST!!!!!!!!

Answers

Answer:

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides, and the points where two edges meet are the polygon's vertices(singular: vertex) or corners.

So, if a shape has points where two edges meet, it is indeed a polygon. Some examples include: Equilateral Triangles, Squares, Regular Pentagons, Regular Hexagons, Regular Heptagons, and Regular Octagons.

(1) a closed shape in the plane, (2) the sides of a polygon are line segments, and (3) the sides of a polygon meet only at endpoints

simplify the expression by combining like terms; 4z+4-z+5

Answers

Answer:

3z+9

Step-by-step explanation:

=4z+4-z+5

=4z-z+4+5

=3z+9

Which statement is NOT true about Rational Numbers? *
Whole Numbers are Rational Numbers
Only fractions are Rational Numbers
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Repeating decimals and terminating decimals are Rational Numbers

Answers

Answer:

Integers, Whole Numbers, and Natural Numbers are Rational Numbers

Step-by-step explanation:

Hope it helps :3

What vertical line (V) and horizontal line (H) intersect at point C? Question 9 options: A) V: x = –2.5; H: y = 5.5 B) V: y = 5.5; H: x = –2.5 C) V: y = –2.5; H: x = 5.5 D) V: x = 5.5; H: y = –2.5

Answers

Answer:

its b

Step-by-step explanation:

The vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the graph,

The coordinate of point C is (5.5, -2.5)

The vertical line (V) and horizontal line (H) intersect at point C are:

x = 5.5 (Vertical line)

y = -2.5 (Horizontal line)

Thus, the vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.

Learn more about the straight line here:

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What is the slope for y=3x-4? What is the y-intercept for y=3x-4?​

Answers

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation of the line is

y = 3x - 4

Comparing with the general equation above

The slope /m = 3

The y intercept / c = - 4

Hope this helps you

if f(x) = x^2, and
g(x) = x-1, then

g(f(x))=x^__+__​

Answers

Answer:

(x^2) + (-1)

Step-by-step explanation:

the equation f(x) BECOMES x in the g(x)

x-1

(x^2) -1

Answer:

g(f(x)) = x^2 + (-1)

Step-by-step explanation:

f(x) = x^2

g(x) = x - 1

Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).

Therefore,

g(x) = (x^2) - 1

      = (x^2) + (-1)

PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!!

bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. write an equation for the relationship using function notation

Answers

Answer:

$2.80x x 50

Step-by-step explanation:

That would be f(x)=2.80x+50.

Which irrational number is represented by point D?

Answers

Answer:

option b

Step-by-step explanation:

root 129

If 3 times a certain number is increased by 4 the result is 28. What is the number?
If x is "the number," which of the following equations could be used to solve for the number?
3x + 4 = 28
3 x= 4 + 28
3( x + 4) = 28

Answers

3x+4=28 because 3 times an unknown number was mentioned first and mentioned together so they will be together, increased by 4 is +4 and comes after, the result of is the same as equals so you put the equals sign and whatever number they gave after.

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:

5/1 is the rate

Step-by-step explanation:

for every hour, joe reads 5 chapters

Answer:

just divide 30 by 6 which is 5

Step-by-step explanation:

lilihoops1010 is asking for help! Go help them!

Answers

Answer:

Okay! I'll go help! (◠‿◕)

How many solutions does the following system of equations have?
v=3x +2
2v=5x+8

Answers

Answer:

The answer is C, zero solutions.  

Step-by-step explanation:

y = 5/2x + 2

2y = 5x + 8

Multiply 2 to the first equation.  

2y = 5x + 4

Compare it with the other equation

2y = 5x + 4

2y = 5x + 8

Cancel 2y and 5x on both sides.  

Remaining:

4 = 8

4 ≠ 8.  Therefore, the answer is C, zero solutions.  

1 over 14 to the power of negative 1

Answers

Answer:

14

Step-by-step explanation:

Answer:

1/14^-1 is the same as 14/1^1

thus the answer is 14

the rule used states that a over b power negative 1 is equivalent to b over a power one

combine like terms. 3y-4-6-3x-7y+6x+1

Answers

Answer:

If you combine everything its -4y+3x-9

Step-by-step explanation:

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