Suppose Q is the midpoint of PR. Use the information to find the missing value. PR = 9x-31 and QR = 43, find x?

Answers

Answer 1

Answer:

x=13

Step-by-step explanation:

Q is the midpoint of PR

PQ + QR = PR

PQ= QR

PQ+QR = PR

QF + QR = PR

2QR = PR

2*43 = 9x-31

86 = 9x-31

Add 31 to each side

86+31 = 9x-31+31

117 = 9x

Divide each side by 9

117/9 = 9x/9

13 =x

Answer 2

Answer:

x = 13

Step-by-step explanation:

since Q is the midpoint of PR and QR is 43, then

PR = QR * 2 ⇒ 43 * 2 = 86

PR = 9x - 31

⇒ 9x - 31 = 86

⇒ 9x = 86 + 31

⇒ 9x = 117

Divide both sides by 9 ⇒ [tex]\frac{9x}{9} = \frac{117}{9}[/tex]

x = 13


Related Questions

Is 2 6/7+5 1/3 irrational or rational?

Answers

Answer: rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It uses rational numbers to make an expression.

A model of a statue is built to a scale of 1:5 from the same material as the real statue and weight 4 pounds. How many pounds does the real statue weigh?

Answers

Answer:

20 pounds

Step-by-step explanation:

If the model statue weighs 4 pounds and scale is 1:4, then 4x5=20.

*MAKE SURE YOUR ANSWER IS CORRECT* // *NEED HELP* Spinner A and Spinner B have 5 color choices each: red, yellow, blue, green and pink. What is the probability of getting a green and pink combination from the area model?

Answers

Answer:

P = 2 / 25

Step-by-step explanation:

If we assume that the combination of green and pink means, 1 green and 1 pink, then we can say the following:

P = 1 / 25 + 1 / 25

P = 2 / 25

This is because the squares where green and pink intersect only occurs twice.

Hence, the probability is P = 2 / 25.

Cheers.


!!!!!!! HELPPPPPP !!!!!! ASAP !!!!!!!!! HELPPPPPP!!!!!!!!!!!!

Answers

Answer:

No you wouldn't because you are not dividing or multiplying by a negative number.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

When you solve the inequality, x is less than or equaled to -26.

the number of diagonals that can be drawn in a opolygon of n sides is 1/2n(n-1)-n. If 230 diagonsaals can be drawn how many sides does the polygon have'

Answers

Answer:

n = 20

Step-by-step explanation:

The number of diagonal that can be drawn in a polygon of n sides is given by :

[tex]D=\dfrac{n(n-3)}{2}[/tex]

If the number of diagonals are 230, then put D = 230 in above formula. So,

[tex]230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0[/tex]

It is a quadratic equation, the value of n is equal to 20.

It means that for 230 diagonal, there are 20 sides of the polygon.

The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its position in the frame to the next.

Answers

Answer:

The correct option is;

Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left

Step-by-step explanation:

The motion of the shape are

1) The shape is moved up from the initial position

2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock

3) The shape then moves two motion of coming down and moving right in one step

4) The shape is then rotated 90 degrees in the clockwise direction

5) In the final step, the shape is moved left.

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed. Which list shows these lengths in order from greatest to least?

Answers

Answer:

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

Step-by-step explanation:

To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.

[tex]\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}[/tex]

LCM of the denominators,

2 |  25   11    100   24

2 |  25    11     50    12

5 |  25    11     25     6  

5 |    5     11     5      6  

      1      11      1       6

LCM = 2×2×5×5×6×11 = 6600

[tex]\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}[/tex]

   [tex]=\frac{792}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}[/tex]

    [tex]=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}[/tex]

[tex]\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}[/tex]

     [tex]=\frac{594}{6600}[/tex]

[tex]\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}[/tex]

    [tex]=\frac{275\pi }{6600}[/tex]

    [tex]=\frac{864}{6600}[/tex]

Now we can arrange these fractions in the order of greatest to least.

[tex]\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

15(x -20)-21= -3(x+1)+6

Answers

Answer:

x = 18

Step-by-step explanation:

Solve for x:

15 (x - 20) - 21 = 6 - 3 (x + 1)

Hint: | Distribute 15 over x - 20.

15 (x - 20) = 15 x - 300:

15 x - 300 - 21 = 6 - 3 (x + 1)

Hint: | Group like terms in 15 x - 300 - 21.

Grouping like terms, 15 x - 300 - 21 = 15 x + (-300 - 21):

15 x + (-300 - 21) = 6 - 3 (x + 1)

Hint: | Evaluate -300 - 21.

-300 - 21 = -321:

15 x + -321 = 6 - 3 (x + 1)

Hint: | Distribute -3 over x + 1.

-3 (x + 1) = -3 x - 3:

15 x - 321 = -3 x - 3 + 6

Hint: | Group like terms in -3 x - 3 + 6.

Grouping like terms, -3 x - 3 + 6 = (6 - 3) - 3 x:

15 x - 321 = (6 - 3) - 3 x

Hint: | Evaluate 6 - 3.

6 - 3 = 3:

15 x - 321 = 3 - 3 x

Hint: | Move terms with x to the left hand side.

Add 3 x to both sides:

15 x + 3 x - 321 = (3 x - 3 x) + 3

Hint: | Look for the difference of two identical terms.

3 x - 3 x = 0:

15 x + 3 x - 321 = 3

Hint: | Group like terms in 15 x + 3 x - 321.

Grouping like terms, 15 x + 3 x - 321 = (15 x + 3 x) - 321:

(15 x + 3 x) - 321 = 3

Hint: | Add like terms in 15 x + 3 x.

15 x + 3 x = 18 x:

18 x - 321 = 3

Hint: | Isolate terms with x to the left hand side.

Add 321 to both sides:

18 x + (321 - 321) = 321 + 3

Hint: | Look for the difference of two identical terms.

321 - 321 = 0:

18 x = 3 + 321

Hint: | Evaluate 3 + 321.

3 + 321 = 324:

18 x = 324

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 324 by 18:

(18 x)/18 = 324/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 324/18

Hint: | Reduce 324/18 to lowest terms. Start by finding the GCD of 324 and 18.

The gcd of 324 and 18 is 18, so 324/18 = (18×18)/(18×1) = 18/18×18 = 18:

Answer: x = 18

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5hd, equals, 5, h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? How many centimeters of snow accumulate per hour?

Answers

Answer:

a) 0.2 h

b) 5 cm

Step-by-step explanation:

The given equation is:

[tex] d = 5h [/tex]    (1)

Where:

d: is the depth in centimeters

h: is the time in hours  

a) The hours that takes for 1 cm of snow to accumulate in Harper's yard can be found by solving equation (1) for h and by entering d = 1 cm into the equation:      

[tex]h = \frac{d}{5} = \frac{1}{5} = 0.2 h[/tex]

Hence, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.  

 

b) The depth in centimeters of snow accumulate per hour is:  

[tex] d = 5h = 5*1 = 5 cm [/tex]

Therefore, 5 cm of snow accumulates per hour.  

I hope it helps you!

0.3 repeating as a percent and a fraction?

Answers

For the fraction it will be 3/10 and percent will be 30%

Answer:

For the fraction it will be 3/10 and percent will be 30%

Step-by-step explanation:

can you help me with this ​

Answers

If you subtract 11.1 from 8.3 you get 2.8

2.8 is your answer :)

Since Peru spends 8.3 and Israel spends 11.1

Subtract that and that's how many more Israel spends on the internet

Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay? $46.68 $74.68 $466.75 $746.80

Answers

Answer:

$74.68

Step-by-step explanation:

Convert the percent to a decimal.

4% = 0.04

Multiply his income by the percentage to find the tax.

$1,867 × 0.04 = $74.68

He can expect to pay $74.68.

Answer:

B) $74.68

Step-by-step explanation:

I took the test on Edge

help me please
solve: -11x^2-44=0

Answers

Answer:

1.1      Factoring:  x2-44  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 44 is not a square !!

Step-by-step explanation:

Compile at the sentence 80000 is 1/10 of

Answers

Answer: This was confusing, but I think I get it.? Your answer is 800,000

Step-by-step explanation: 80,000 x 10 = 800,000

maya drive 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?

Answers

Answer:

8 hours

Step-by-step explanation:

110 miles ................. 5 hours

176 miles ..................x hours

x = 176×5/110 = 880/110 = 8 hours

Answer:

maya drives 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?

We use the rule of three

110 miles -------------> 5 hours

176 miles ------------> ???

So (176 miles × 5 hours) /110 miles

We simplify by 《miles》 because it is in the numerator and the denominator

SO (176×5 hours )/110

= 880 hours / 110

= 8 hours

So she drives 176 miles in 8 hours.

if this cylindrical vase were filled with water. approximately how much water would it contain? A. 63in^3 B. 126in^3 C. 251in^3 D. 503in^3​

Answers

Answer:

126 in³

Step-by-step explanation:

Given a cylindrical vase having a diameter (d) of 4 in, and an height (h) of 10 in, the amount of water it would contain can be calculated using:

Volume of cylinder = πr²h

Where,

r = radius = ½ of d = ½*4 = 2 in

h = height = 10 in

Take π as 3.14

Plug in the values into the formula

Volume = 3.14*2²*10 = 3.14*4*10 = 125.6 ≈ 126 in³

Hannah was adding 5 plus -4. When explaining her work she said that the sum is 9 because you add the numbers and take the sign of the larger number. In complete sentences explain what Hannah got wrong. What should the correct answer be?

Answers

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

What is the value of p in the linear equation 24p +12 - 18p = 10 + 2p - 6 ? −4 −2 2 4

Answers

Answer:

SO we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

p = -2

The value of p is -2.

The correct option is (B)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

24p +12 - 18p = 10 + 2p - 6

Now, solving for p

6p + 12= 2p + 4

6p - 2p = 4 -12

4p = -8

p= -8/4

p= -2

Hence, the value of p is -2.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ6

Using the Segment Addition Postulate: If AB = 12 and BC = 18, what is AC? a.) 6 b.) 20 c.) 30 d.) 26

Answers

The answer would be 6.

Round 13.275 to the nearest hundredth.

Answers

Answer:

13.28

Step-by-step explanation:

The digit in the hundredth place is 7. We see that the digit in the thousandth place, 5, makes the 7 round up to 8.

Answer:

13.28

Step-by-step explanation:

0 to 4 (round down )

5 to 9 (round up)

[tex]13.275 \\ \: 100[/tex]

-3(r+2)=40 whats is r in the equation , thanks :)

Answers

Answer:

r = -46/3

Step-by-step explanation:

-3(r+2)=40

Distribute

-3r - 6 = 40

Add 6 to each side

-3r-6+6 = 40+6

-3r = 46

Divide by -3

r = 46/-3

r = -46/3

Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!

Answers

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

Answer:

[tex]\huge\boxed{<SUT = 30\ degrees}[/tex]

Step-by-step explanation:

According to exterior angle theorem:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

I need help with this please and thank you!

Answers

Answer:  2x^2      -16t

               25t         -20

Step-by-step explanation:

Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply  5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.

Complete the following sentence with the correct symbol(s) or statement(s). Select all that apply. |-3| ___ |-2| > < = ≠ ≤ not possible

Answers

Answer:

the absolute value signs change the expression to:

3 ____ 2

so:

3 > 2

3 ≠ 2

Answer:

|-3| > |-2|

|-3| ≠  |-2|

Step-by-step explanation:

solve by using zero product property 2x⁴ + 6x³ + -4x²

Answers

Answer:

2x^2x(x^+3x-2)

Step-by-step explanation:

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between

Answers

Answer:

9, 10

Step-by-step explanation:

If you enter the square root of 93 on a calculator, the answer is 9.64365076099. This is after 9 but before 10.

PLS HELP BRAINLIEST 16 POINTS

Answers

ANSWERS (left to right)

r= 28
k= 8
b= -9
g= 7.3333
a= -1
m= 3
k= -2
t= 18
x= -0.5

John runs for 2.25 hours, burning 375.5 calories per hour. How many total calories does he burn?​

Answers

You will need to multiply 2.25 by 375.5 which will then give you 844.87 but if we round it the answer will be 844.9

Answer:

844.875

Step-by-step explanation:

375.5 * 2.25= 844.875

Answer Scale Factor Question

Answers

Answer:

scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

A(4, - 2 ) → A'(1, - [tex]\frac{1}{2}[/tex] )

To determine the scale factor compare the ratio of corresponding coordinates, image to original, that is

scale factor = [tex]\frac{1}{4}[/tex] = [tex]\frac{-\frac{1}{2} }{-2}[/tex] = [tex]\frac{1}{4}[/tex]

3x/2+3=x HELP, I have a deadline in 5 minutes!

Answers

I got
1
- — x
3

Hope I was fast enough!!
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