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

Find the smallest square number divisible by each of these numbers 6,9,and 15

Answers

Answer:

900

Step-by-step explanation:

6 = 2×3

9 = 3²

15 = 3×5

lcm = 2×3²×5 = 90

to have a square number multiple of 90 we have to multiply by 2 and 5

2×3²×5 × 2×5 = 2²×3²×5² = (2×3×5)² = 30² = 900

Good luck !

If a and bare negative, then a + b is also negative.

Answers

Step-by-step explanation:

Example: -2+-5

It can also be written as -2-5.

How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.

-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.

hope it helps!

find the zero of the function p(x) = 1/4x-3

Answers

Answer:

x = 12

Step-by-step explanation:

Given

p(x) = [tex]\frac{1}{4}[/tex] x - 3

To find the zero let p(x) = 0, that is

[tex]\frac{1}{4}[/tex] x - 3 = 0 ( add 3 to both sides )

[tex]\frac{1}{4}[/tex] x = 3 ( multiply both sides by 4 )

x = 12 ← zero of p(x)

what is the sum of the equation? 15x-5x+5y+5y

Answers

Hey there!

ANSWER: [tex]10x+10y[/tex]EXPLANATION:

[tex]15x-5x+5y+5y[/tex]

To solve, first subtract the 2 numbers with x.

[tex]15x-5x=10x[/tex]

Now let's add the two numbers y.

[tex]5y+5y=10y[/tex]

So the answer will be 10x + 10y because 15x-5x is equal to 10x and 5y + 5y is equal to 10y. And then you just add the x and y.

[tex]10x+10y[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

10x+10y

Step-by-step explanation:

15x-5x= 10x

5y+5y= 10y

10x+10y

given g(x)=5x+2 what is the value of g(3)

Answers

Answer:

g(3) = 17

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 2

g(3) = x = 3

Step 2: Substitute and Evaluate

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

Answer:

g(3) +17 !!!

Step-by-step explanation:

What is the domain and range of It’s
h(x)= -1/2(x-4)^2 +3

Answers

Answer:

Domain:  [ − 3 ,∞ )

Range:  ( − ∞ , 0 ]

Step-by-step explanation:

h ( x ) = − √ x + 3  

the domain:

x +3 ≥ 0  x ≥ − 3  

in interval form:

[ − 3 , ∞ )  

the range:

lowest possible value under the square root sign is zero, thus:

y ≤ 0  

in the interval form:

( − ∞ , 0 ]

Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at the beginning of the drive, and its feel efficiency is 6 km/L. Fuel cost 0.60 dollars per liter what is the price for the amount of feel that Rosalyn will use for the entire drive?

Answers

Answer:

15

Step-by-step explanation:

It was very long

The price for the amount of fuel that Roselyn will use for the entire drive is $25

What is an Equation?

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

Roselyn's family lives 150 km away.

Her average speed is 60km/h

The car tank has 20 L of fuel at the beginning of the the drive.

Fuel efficiency is 6km/ L.

The cost of the fuel is $0.60/L.

The total drive is 150km.

The 6km of distance requires 1 L of fuel

Then 150 km  of the distance requires

= 150 * 1 / 6

= 150/6

= $25.

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Find all numbers such that 18 plus 4 times the number is less than 30.

Answers

Answer:

The numbers are 2,1,0,-1,-2,..............etc

Step-by-step explanation:

This is actually a word problem

step one:

let the maximum number be  x  

18+4x<30

4x<30-18

4x<12

divide both sides by 4 we have

4x<12

x<3

step two:

From this analysis, we can see that all possible numbers are real numbers less than 3 that is 2,1,0,-1,-2,..............etc

The two triangles in the sketch below are congruent. Which sequence could transform triangle ABC to triangle DEF? A translation 7 units down followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 90° clockwise about the origin A translation 7 units right followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 180° clockwise about the origin

Answers

Answer:

Its A

Step-by-step explanation:

How do u write “the quotient of c and 2 “ as a variable expression?

Answers

The variable expression c/2 represents the quotient of c and 2, where c can be any numerical value or variable.

To write "the quotient of c and 2" as a variable expression, we can use the division operation to represent the quotient.

The variable expression would be:

c/2

c represents the variable, and dividing c by 2 gives us the quotient of c and 2.

Let's break it down further to understand this expression in more detail:

The term "quotient" refers to the result of dividing one quantity by another.

We are interested in the quotient of c and 2.

The variable c represents an unknown value or a variable that can take on different numerical values.

The number 2 is the divisor or the quantity by which we divide c to find the quotient.

By using the division operator (/), we can create a variable expression that represents the quotient of c and 2.

We evaluate this expression by substituting specific values for c, we will obtain the result of dividing c by 2.

If we let c = 10, then the expression c/2 would evaluate to 10/2, which equals 5.

If c = 6, the expression c/2 would evaluate to 6/2, which equals 3.

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What is the sum of 12 1/4 and it’s additive inverse?

Answers

Given :

A number [tex]12\dfrac{1}{4}=\dfrac{49}{4}[/tex] .

To Find :

What is the sum of 12 1/4 and it’s additive inverse .

Solution :

Fist we should know what is additive inverse .

Additive inverse of a number is that number , when added to it yield zero ,

Basically , for a real number , it reverses its sign :

The opposite to a positive is negative .

The opposite to a negative is positive .

Therefore , the sum of [tex]12\dfrac{1}{4}[/tex] and it's additive inverse is 0 .

Hence , this is the required solution .

Which of the following answer choices shows which numbers from the list below are less than - 0.94?

Answers

Answer:

-2.23, -2 2/5, -0.95

Step-by-step explanation:

-15/16 = -0.9375 (greater than -0.94)

0.24 (greater than -0.94)

-2.23 (less than -0.94)

97% = 0.97 (greater than -0.94)

-2 2/5 = -2.4 (less than -0.94)

-0.95 (less than -0.94)

⅔ = 8⁄₁₂ Yes or No? Are they Equivalent?

Answers

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{4}{4} = \frac{8}{12} [/tex]

yes

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

PLEASE HELP ALGEBRA 2!!

Answers

Answer:

11) 2nd option

12)2nd option

13)3rd option

Is this statement true or false?
4 [3(5 + 2)] = 95 – 4.3
true
false

Answers

Answer:

The answer is false it’s supposed to be 84

Step-by-step explanation:

This would be false because the a swear is 63 and 95 minus 4.5 is 90.5

what are the coordinates of c’s after abc is translated 3 units to the left and 5 units up

Answers

Answer:

the coordinates are -2, -1.

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

Help pls i need help !!

Answers

Answer:

Ray, Line, Transversal?, Plane, Segment

Step-by-step explanation:

The angle between the minute hand and hour hand of a clock is 90°. What time is it?

Answers

Answer:

3:00.

Step-by-step explanation:

if it exactly 90 degrees you are looking for, your answer would be 3:0:0.

FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST AND 10 POINTS!!!!!!! Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box. Release your mouse button when the item is placed if you change your mind drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression. 7^0

Answers

Answer:

The answer is 1

Step-by-step explanation:

-96 divided by (-12)

Answers

Answer:

8

Step-by-step explanation:

How many seconds of school are left before Thanksgiving break? Assume there are 34 days of school left and we are in school for 7 hours a day.

Answers

There are 856,800 seconds of school left.

Explanation:
First, I multiplied 34 by 7 because there are 7 hours spent in school and 34 days
- 34x7= 238: this is the number of hours left in school

Then I multiplied 238 by 60 because there are 60 minutes in an hour
- 238x60= 14,280: this is the number of minutes left in school

Lastly, I multiplied 14,280 by 60 because there are 60 seconds in a minute
- 14,280x60= 856,800: this is the number of seconds left in school

For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0

Answers

Answer:

1. -5

2. 1/3 (1 third)

3. -3

4. -1\2 (negative one and a half)

5.-4

6. 1.66666

Step-by-step explanation:

1.  Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5.        <—— this is for the first explanation

2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2

<———— this is for the second explanation

3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x      

<———- this is for the third explanation

4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3

<—————- this is for the fourth explanation

5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4

<—————- this is for the fith explanation

6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667

<—————- this is for the sixth explanation

Hope this helps :)

Convert 17.8 miles to km

Answers

Answer:

28.64632

also if you can can you please help me with my question

Answer:

not gonna lie

Step-by-step explanation:

28.64632 km

Transversal t cuts parallel lines rand s. Which angles must be congruent to 22?
OA. 23, 26, and 27
OB.
27 only
OC. 27 and 26
OD
23, 25, and 26
Please will make brainiest

Answers

the answer is A 3,6,7

If transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

What is Coordinate System?

Coordinate systems are used to describe the (linear) position of points and the angular position of axes, planes, and rigid bodies.

A transversal is a line, ray, or line segment that intersects other lines, rays, or line segments on a plane at different intersecting points.

Congruent angles are two or more angles that are identical to each other.

The angle ∠2 measure is equal  to ∠3.

∠2 measure is equal  to ∠6.

∠6 measure is equal  to ∠5.

The measures ∠3, ∠5 and ∠6 are equal to the measure of ∠2.

∠3, ∠5 and ∠6 are congruent to  ∠2

Hence, if transversal t cuts parallel lines r and s, then the angles  ∠3, ∠5 and ∠6 are congruent to  ∠2.

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Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Syeda have left in her account on Thursday

Answers

Answer:

$22.70

Step-by-step explanation:

$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.

hope i helped.

Answer:

22.70

Step-by-step explanation:

 80.45

- 20.50

 59.95

 59.95

- 37.25

22.70

Write the ratio in simplest form 9 to 12

Answers

The factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 9 to 12 is 34 .

A cube has a surface area of 54 square centimeters, what is the side length?

Answers

Answer:

9cm

Step-by-step explanation: i think. ah

Answer:

3 cm³

Step-by-step explanation:

Formula a =√(A/6)

a = edge

A = Surface Area

a = √(54/6) = 3

The value of the expression is

Answers

Steps to solve:

4 + (m - n)^4 when m = 7 and n = 5

~Substitute

4 + (7 - 5)^4

~Simplify

4 + 2^4

~Simplify

4 + 16

~Add

20

Best of Luck!

1st: plug in numbers
4+(7-5)^4
2nd: follow order of operations and you’ll end up with 4+2^4
3rd: 4+16=20

Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?

Answers

Answer:

13

Step-by-step explanation:

time=distance÷speed

time= 650÷50

A 175​-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Answers

Answer:

35

Step-by-step explanation:

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