Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR. QR = 12 QR = -12 QR = 28 QR = 56

Answers

Answer 1
The midpoint divided a segment into two congruent lengths/segments.

So, QM = MR.

Set up the equation.

16 + x = 2(x+ 2)

16 + x = 2x + 4

12 + x = 2x

12 = x


Now, that you have the value of x, substitute it for the two equations.

QM = 16 + x

QM = 16 + 12

QM = 28


MR = 2(12+ 2)

MR = 2(14)

MR = 28


Find the whole length by of the line by adding the two segments. 28 × 2 = 56.

QR = 56

Related Questions

Brad has $1.65. He spends 75 cents to buy a card. How much change does he get back ?

Answers

Brad will get back 90 cents in change.

Final answer:

After purchasing a card for 75 cents, Brad receives 90 cents back in change from his initial $1.65.

Explanation:

The student's question is about calculating change returned after a purchase, which is a basic arithmetic problem. Brad starts with $1.65 and spends 75 cents on a card. To find out how much change Brad gets back, we subtract the cost of the card from the amount Brad started with.

$1.65 - $0.75 = $0.90

Therefore, Brad gets 90 cents back in change after buying the card.

The quotient of the opposite of 30 and 6 plus the opposite of 8

Answers

First, let's turn this sentence into a mathematical expression:
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have:
[tex]\frac{-30}{6}+(-8)[/tex]
[tex]-5+(-8)[/tex]
[tex]-13[/tex]

What is the y-intercept of the function f(x) = –x + ?

Answers

f(x)= ax+b
then the y-intercept is b- that means x=0 and y=b
but x+? is???

Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flower pots. What fractionof a package of seeds is planted in each flowerpot?

Answers

He has 3/4 package and plants 1/6 of seeds.

3/4 * 1/6 = 1/8

He divides the rest equally into 10 flowerpots. What is the rest? In order to know what "the rest" is, you must subtract 1/8 from 3/4. Find the common denominator of 4 and 8 which is 8. Multiple the numerator 3 * 2= 6 with a denominator of 8.

3/4 - 1/8 = 6/8 -1/8
= 5/8

5/8 is left to be divided equally into 10 flowerpots.

5/8 ÷ 10/1
= 5/8 * 1/10
= 5/80
= 1/16

We are required to find the fraction of a package of seeds is planted in each flowerpot.

The fraction of a package of seeds planted in each flowerpot is 7/120

Given:

Total package of seed = 3/4

Quantity of seeds planted in his garden = 1/6

Quantity of seed remaining = Total package of seed - Quantity of seeds planted in his garden

= 3/4 - 1/6

= (18 - 4) /24

= 14 / 24

Quantity of seed remaining = 7 / 12

Number of flowerpots = 10

fractionof a package of seeds is planted in each flowerpot = Quantity of seed remaining ÷ Number of flowerpots

= 7/12 ÷ 10/1

= 7/12 × 1/10

= (7 × 1) / (12 × 10)

= 7/120

Therefore, the fraction of a package of seeds planted in each flowerpot is 7/120

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Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys. Explain why Kym is incorrect.

Answers

Because the ratio 25:25 is equal to 50%

Answer:

Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.

Step-by-step explanation:

Write he ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee=

Answers

You would multiply both and then the answer you would put into ratio form

The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

$7 1/2 = $(7 + 1/2) = $15/2

$30/4 → $3/4 × 10

3/4 pounds

Ratio = 10

Hence "The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10".

For more information about ratios and proportions,

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#SPJ2

State the value of m and the value of b!

A. F(x):m= , b=
B. G(x): m= , b =
C. H(x): m = , b=

Answers

A) f(x) goes down 1 for each 2 it goes to the right, so its slope is m = -1/2. It crosses the y-axis at b = 2.

B)
g(x) goes up 1 for each 3 it goes to the right, so its slope is m = 1/3. It crosses the y-axis at b = -3.

C) h(x) goes up 2 for each 1 it goes to the right, so its slope is m = 2/1 = 2. It crosses the y-axis at b = 0.

A drawing with the scale of 3 cm for each meter shows where Adam wants to plant flowers. If the actual distance of the flower planting is 25 m long, how long is the scale distance on the drawing?

Answers

ok so 3cm/1m so 25 m times 3 cm is the answer so the answer is 75 cm

melanie michael has a salaried and exempt job. she earns $825 a week. one week she worked 46 hours. find her gross weekly earnings.

Answers

She earns 17.93$ per hour, 

in the figure below line DE is parallel to line FG and transversal AG

Answers

Answer: The answer is 147° and 33°.

Step-by-step explanation:  We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.

Also, given that

∠ABE = (5y - 18)°.

We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.

That is,

[tex]\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)[/tex]

Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.

That is

[tex]\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)[/tex]

Adding equations (i) and (ii), we get

[tex]y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,[/tex]

and from equation (ii), we get

[tex]x=180-33=147.[/tex]

Thus, x° = 147° and y° = 33°.

the square of m minus the cube of n is sixteen

Answers


[tex] {m}^{2} - {n}^{3 } = 16[/tex]

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate?
A)asking nicely
B)making sure she has a positive credit history
C)explaining that she has many outstanding loans
D)showing her driver’s license

Answers

Answer:

B)making sure she has a positive credit history

Step-by-step explanation:

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.

B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.

Getting low interest rates does not depend on the way you talk or if you have a driver licence.

It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.

So, you get low interest rates based on good credit history.

To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.

Further Explanation:

Given:

The options are as follows,

(A). Asking nicely

(B). Making sure she has a positive credit history

(C). Explaining that she has many outstanding loans

(D). Showing her driver’s license

Explanation:

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.

To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.

Option (A) is not correct.

Option (B) is correct.

Option (C) is not correct.

Option (D) is not correct.

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Loan schedule

Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.

A plane flies over city A and reaches city B, 115 miles away, in 15 minutes. Find the speed of the plane in miles per hour assuming the plane flew at a constant speed.

A. 300 mph
B. 460 mph
C. 600 mph
D. 680 mph

Answers

So you want to find how many miles are being flown in one hour.

There are 60 minutes in one hour so you want to find how many times 15 goes into 60 so you can then multiply that by 115.


60 / 15 = 4.

Now multiply 115 by 4,

115 x 4 = 460


Therefore the plane is flying at B. 460 mph.

Hope I helped!

Answer:

B

460

Step-by-step explanation:

Adonica made snacks for her friends by putting equal amounts of trail mix into small bags. If she started with 3 4/5 cups of trail mix and put 3/4 cup into each bag, how many complete bags did she make?

Answers

maybe this paper helps...

Answer:

5 bags

Step-by-step explanation:

Given,

The total number of cups in trial mix = [tex]3\frac{4}{5}[/tex],

The number of cups in each bag = [tex]\frac{3}{4}[/tex]

So, the number of bags,

[tex]=\frac{\text{Total cups}}{\text{Cups in each }}[/tex]

[tex]=\frac{3\frac{4}{5}}{\frac{3}{4}}[/tex]

[tex]=\frac{\frac{19}{5}}{\frac{3}{4}}[/tex]

[tex]=\frac{76}{15}[/tex]

[tex]=5\frac{1}{15}[/tex]

Hence, 5 complete bags would made.

If Ryan pays his car insurance for the year in full, he will get a credit if $28. If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late

A.which of these values could be represented with a negative number?explain.

Answers

the late fee because is going to be paying more 

Answer:

The value that represented with a negative number is the $10 fee that Ryan pay as a late fee.

Step-by-step explanation:

Consider the provided information.

Ryan pays his car insurance for the year in full, he will get a credit of $28.

Here credit represented with a positive number because $28 added to his account.

If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late.

Here late fee represented by a negative number because if he will miss his monthly payment then $10 will be subtracted from his account.

Thus, we can say that the value that represented with a negative number is the $10 fee that Ryan pay as a late fee.

I am a mutiple of 60. I am between 400 and 600 . I am 40 away from a multiple of 100. who am i

Answers

There is no possible answer. 
The #s are 420, 480, and 540.
None of them are 40 away from a multiple of 100.
However, it is was between 300 and 600, the answer would be 360.

1.6 x 10^8)(5.8 x 10^6)
---------------------------
(4 x 10^6)


Expreesed in Scientific Notataion

Answers

2.32x10^8. I'm in Honors Chemistry in high school, I just inputted this into a calculator which is easy. Otherwise you can just take them out of scientific notation and into standard form which is this:
(160000000)(5800000)/4000000=232000000. And then convert it back.

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

Answers

Answer:

The linear function is [tex]y=-x+3[/tex]. The graph of function is given below.

Step-by-step explanation:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

Since the slope is -1 and the y-intercept is 3, therefore the linear function is,

[tex]y=-x+3[/tex]

put y=0, to find x-intercept.

[tex]0=-x+3[/tex]

[tex]x=3[/tex]

Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.

The graph of the linear function [tex]y=-x+3[/tex] is given below.

The first graph.

It's right on edge

What is the value of the expression? (−3)3+6^3/12 Enter your answer in the box.
(6^3/12 is a fraction) and (6^3 means 6*6*6)

Answers

simplied: -9 + 216/12 = x
-9 + 18 = x
9 = x
We first have to do the operations in order. The classic mnemonic is "Please Excsue My Dear Aunt Sally". Taking the first letter of each workd, you get PEMDAS. Parentheses, exponents, multiplication, division, addition, subtraction. So looking at the equation, we peform the parentheses first (-3)3 which = -9. So now we have -9 + 6^3/12. Now we perform the exponent. 6^3 is 6*6*6 qhich equals 216. So now we have -9 + 216/12 There is no multiplication so we do division; 216/12 = 18 So now we have -9 + 18 = 9 Negative 9 plus 18 equals 9

find the slope of a line parallel to 3x+5y=15

Answers

the answer is negative three over five

Answer:

A. [tex]-\frac{3}{5}[/tex].

Step-by-step explanation:

We have been given equation of a line [tex]3x+5y=15[/tex]. We are asked to find the slope of a parallel line to our given line.

We know that slopes of parallel lines are equal, so slope of the parallel line will be equal to slope of our given line.

To find the slope of our given line, we will convert our given equation in slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope of line.

First of all, we will subtract 3x from both sides of our given equation as:

[tex]3x-3x+5y=15-3x[/tex]

[tex]5y=-3x+15[/tex]

Now, we will divide both sides by 5.

[tex]\frac{5y}{5}=\frac{-3x+15}{5}[/tex]

[tex]y=\frac{-3x}{5}+\frac{15}{5}[/tex]

[tex]y=-\frac{3x}{5}+3[/tex]

Upon comparing our equation with slope-intercept form, we can see that [tex]m=-\frac{3}{5}[/tex] and option A is the correct choice.

Which is a measure of the efficiency of an investment?

Answers

ROI is the answer to your question because it is the efficiency of an investment



Answer:

ROI

Step-by-step explanation:

To measure the efficiency of the an investment, we use a term called "ROI"

That is return on investment. which is calculated by the formula

(return earned/ capital invested)*100.

Lets assume that you invested $10000 in any bank or business venture, and you earned a profit or return of $2000. So your percentage  of return is (2000/10000)*100 = 20%

If b = 9 cm, c = 7 cm, and m∠A = 66°, what is the approximate area of ABC?
A) 28.78 cm2
B) 12.81 cm2
C) 14.62 cm2
D) 57.55 cm2

Thank you! 

Answers

Area of triangle ABC can be found using the formula ¹/₂ × b × c × sin (A)

Substitute b = 9, c = 7, and m∠A = 66° into the formula gives

Area = 9 × 7 × sin 66° = 57.55

ANSWER: D

A marathon is 131 over 5 miles long. If for people divide up the distance equally, how many miles does each person need to run?

Answers

Each person needs to run 6 11/20 miles to divide the distance up equally. (You just divide 131/5 by 4, because that's how many people are going to run it).

Answer:

6.55 miles to run

Step-by-step explanation:

A distance of marathon is = [tex]\frac{131}{5}[/tex] miles long.

                                           or [tex]26\frac{1}{5}[/tex] miles

If four people divide up the distance equally.

To calculate the distance each person need to run we will divide [tex]\frac{131}{5}[/tex] by 4

= [tex]\frac{\frac{131}{5} }{4}[/tex]

= [tex]\frac{131}{5}[/tex] × [tex]\frac{1}{4}[/tex]

= [tex]\frac{131}{20}[/tex]

= [tex]6\frac{11}{20}[/tex]

= 6.55 miles

each 4 person need 6.55 miles to run.

Which is the simplified form of (2ab/a^-5 b^2)^-3?

Answers

I am  using the laws:
1) [tex]( x^{a} )^{c} = x^{a*c} [/tex]
2) [tex] x^{a} * x^{b} = x^{a+b} [/tex]
3) [tex] \frac{ x^{a} }{x^{b}} = x^{a-b} [/tex]

an x is a base - the law is valid if the bases are the same number!

The solution in attachment :) 

Answer:

A on e2020/edge

Step-by-step explanation:

PLEASE HELP AND ANSWER BOTH QUESTIONS

Answers

D is your answer

Expand and do FOIL method (first outside inside last)
simplify and then choose right answer

A is your answer

Do the same thing

hope this helps
1.)    16k^2 + 56kj + 49j^2


2.) 4y^2 - 36xy + 81x^2

Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80! Write an equation to determine the normal price of each cookie. Find the normal price of each cookie.

Answers

Ok, let us use "C" as our variable that will equal the normal price.

   (C - $.75) 7 = $2.80

Divide both sides of equation by 7
C - $.75 = $2.80 / 7 Add $.75 to both sides of equation

C = $.40 + $.75

C = $1.15 

Answer:

The price of each cookie is $ 1.15.

Step-by-step explanation:

Let x be the normal price of each cookie,

Since, each cookie costs $0.75 less than the normal price,

Thus, the new price of each cookie = ( x - 0.75 ) dollars,

So, the price of 7 cookies = 7( x-0.75 ) dollars

According to the question,

The price of 7 cookies = $ 2.80

7( x-0.75 ) = 2.80

Which is the required equation to determine the normal price of each cookies,

For solving the above equation,

Divides both sides by 7,

x - 0.75 = 0.4

Adding 0.75 on both sides,

x = 1.15

Hence, the price of each cookie is $ 1.15.

In the diagram, AB:BC is 3:4 and AC:42 Find BC

Answers

From the diagram:
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I

We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II

Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24

Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18

Imagine you are drawing a comic strip showing how to solve the problem 72 divided into 4 to new 4th graders. Create a script to explain how you can keep dividing after getting a remainder of 3 tens in the first step

Answers

To solve the problem of dividing 72 by the divisor of 4, we can simply put up a simple similar scenario involving 72 eggs to be equally divided to 4 baskets.

First, we divide first the tens digit which is 7 by 4. We get 1 and a remainder of 3 tens. Meaning each of the egg basket is having at least 10 quail eggs. 

Then, 3 tens will be coupled with 2 thus making 32. We further divide the resulting number with 4. We know that four (4) eights make up to 32. In equation, 8+8+8+8 = 32 or 4x8 = 32. Thus, 32/4 will give us the quotient of 8. Meaning each basket will get 8 eggs.


Adding all up, 10+8 eggs will give us 18 eggs. Therefore, each basket will contain 18 eggs. 72 divided by 4 is 18.



 

Jackson has 2,000 baseball cards in his collection. Gabe has 1/10
as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?

Answers

Answer:

200 cards

Step-by-step explanation:

Given: Jackson has 2,000 baseball cards in his collection. Gabe has [tex]\frac{1}{10}[/tex] as many baseball cards in his collection as Jackson.

To Find: How many baseball cards does Gabe have in his collection.

Solution:

Total number of cards Jackson has in his collection [tex]=2000[/tex]

Let number of cards Gabe has =[tex]\text{x}[/tex]

Now,

Number of cards Gabe has [tex]= \frac{\text{total cards Jackson has}}{10}[/tex]

                       [tex]\text{x}= \frac{\text{total cards Jackson has}}{10}[/tex]

putting values

          [tex]\text{x}= \frac{2000}{10}[/tex]

          [tex]\text{x}= 200[/tex]

Hence Gabe has 200 baseball cards in his collection.

There are 200 baseballs in Gabe's collection

Total number of baseball in Jackson's baseball = 2000

Gabe's fraction of Jackson's baseball = 1/10

The Number of baseball in Gabe's collection is :

[tex](2000 \times ( \frac{1}{10} )) = \frac{2000}{10} = 200[/tex]

Therefore, the Number of baseball in Gabe's collection is 200.

Learn more : https://brainly.com/question/18109354

help me please below........

Answers

The slope can be found by subtracting two adjacent y values, e.g., 165-132 = 33
The initial value is the y value at x=0, ie., 132.

So the equation must be: y = 132 + 33x
Other Questions
A boy walks for x hours at 33 mph and bicycles for (5x) hours at 93 mph. If the total distance traveled is d miles, express d in terms of x. Kites: Birds of GloryAs a rule, raptors, or birds of prey, are among the most admired and adored birds in the world. From the California condor to the snowy owl, few birds compare to the tigers of the air: the great hunters whose beauty and skill have inspired art and literature for centuries. The most glorious feathers of the peacock or the vibrant plumage of a bunting cannot compete with the power of a peregrine falcon or the determination of an osprey. Included in this group of hunters, however, is one bird of prey that is little known but equally impressive. The kites of the world are generally smaller than most raptors, but just as astonishing in skill and grace as any other hunter of the skies.Most people think of paper or cloth structures flown with string from the ground when the word 'kite' is used. In addition to these popular toys, kite can also refer to a type of raptor. Kites have a small head, a short beak and long narrow wings and tail. Kites can be found all over the world in mostly warm regions. Kites live on a variety of preyfrom insects to small rodents or reptiles. Some kites eat only one kind of prey. Kites are generally masterful in the air and represent a group of birds that are among the most acrobatic of fliers.Two of the most familiar kites in the Southern United States are the swallow-tailed kite and the Mississippi kite. The Mississippi kite is rather plain to look at: a light brown and gray body with a buff or white colored head. But to watch a Mississippi kite fly is to watch a ballet in the air. These raptors eat primarily flying insects, so they do most of their hunting on the wing. As you might imagine, catching flying insects requires a great deal of agility and speed. If you are lucky enough to see one in flight, you will be amazed at the quick turns, graceful moves, and speedy pursuits of this bird. Look for them above large fields, especially during the summer.The swallow-tailed kite, also common in the South, is more easily identifiable and often seen flying over roads. With black wings and tail, white head and body, and a forked or swallow-like tail, this raptor is just as acrobatic as the Mississippi kite. Swallow-tailed kites like flying over highways in the summer as they can take advantage of the thermals, or columns of warmed air, that rise above the pavement. Once they have climbed to sufficient height, swallow-tails will glide, looking for snakes and reptiles and insects. They also eat small rodents, frogs, and other birds on occasion. Watching a swallow-tail fly is a lot like watching a gymnast perform a floor routine. 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