Mathematics Middle School

2(3r+7)−(2+r) write an equivalent expression
a. 4r+12
b. 5r+13
c.5r+12
d.5r-12

PLEASE HELP!!

Answers

Answer 1
The Answer is c: 5r+12

Proof:

Simplify the following:
2 (3 r + 7) - (r + 2)

2 (3 r + 7) = 6 r + 14:
6 r + 14 - (r + 2)

-(r + 2) = -r - 2:
14 + 6 r + -r - 2

Grouping like terms, 14 + 6 r - 2 - r = (6 r - r) + (14 - 2):
(6 r - r) + (14 - 2)

6 r - r = 5 r:
5 r + (14 - 2)

 | 1 | 4
- | | 2
 | 1 | 2:

Answer:  5 r + 12
Answer 2
Hey there! :) The easiest way to find an expression equivalent to our given one, we can very simply simplify the given expression.

2(3r + 7) - (2 - r)

Simplify.

6r + 14 - 2 - r

Add like terms.

(6r - r) + (14 - 2)

Simplify.

5r + 12

Look at our given answer choices.

Our answer is c. 5r + 12

~Hope I helped!~ 

Related Questions

determine the height of the pyramid triangular base with the base edge of 12 inches and base height 9 inches, and volume of 108 cubic inches

Answers

Final answer:

The height of the pyramid with a triangular base edge of 12 inches, a base height of 9 inches, and a volume of 108 cubic inches is 6 inches.

Explanation:

The subject of your question is in the field of mathematics, specifically in geometry. You provided the base edge, base height, and volume of the pyramid and asked to determine the height of the pyramid itself. The volume V of a pyramid is given by the formula V = 1/3 * base_area * height. In your case, the base of the pyramid is a triangle, so the area of the base (base_area) is given by 1/2 * base_edge * base_height = 0.5 * 12 in * 9 in = 54 square in. To find the height of the pyramid, we substitute the volume and the base area into the formula and solve for the height: 108 cubic in = 1/3 * 54 square in * height -> height = 6 inches. Therefore, the height of your pyramid is 6 inches.

Learn more about Pyramid calculation here:

https://brainly.com/question/32063096

#SPJ12

Find the PERIMETER of this triangle

Answers

First we need to find the missing side, use

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
So the missing leg = the sqrt of the hypotenuse squared minus the other leg squared.

Let's substitute the numbers,

[tex]a = \sqrt{ {10}^{2} - {6}^{2} } [/tex]
Solve for the squares,

[tex]a = \sqrt{100 - 36} [/tex]
Subtract,

[tex]a = \sqrt{64} [/tex]
Solve for the root,

[tex]a = 8[/tex]
~~

So our missing length is 8.

To find the perimeter of the triangle, simply add all the sides....

~~

[tex]8 + 10 + 6 = 24[/tex]

~~

Answer : 24

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
Answer:  The perimeter of the triangle given is:  " 24 units " . 
______________________________________________________
Explanation:
______________________________________________________
        To find the perimeter of the triangle, we add up the lengths of
  all 3 (THREE) sides of the triangle; and we have the answer!
______________________________________________________
The triangle given is a "right triangle.

We are given the length of 2 (TWO) of the sides:  "6 units" ; and "10 units (the length of the hypotenuse). 
___________________________________________________________
We can find the "unknown side length" by using the "Pythagorean theorem" (since this is a "right trangle"):

       →   a²  +  b²  = c²  ;  

                          in which : "c" is the hypotenuse; which is:  "10" (given); 

Let "b" represent the known side length, which is "6" (given). 

Solve for "a" (the "unknown" side length).

         →  a²  +  6²  =  10²  ;   Solve for "a" ;

         →  a²  =  10²  –  6²  = 100 – 36 = 64 .

         ↔  a² = 64 . 

Now, take the positive square root of each side of the equation; 
      to isolate "a" on one side of the equation; & to solve for "a" ; 

         →   ⁺√(a²) = √64 ; 

         → a = 8 .
__________________________________________________
Now, to find the "perimeter" of the triangle, we add up all of the side lengths:

   6 + 8 + 10 =  14 + 10 = 24 . 
__________________________________________________
Answer:  The perimeter of the triangle given is:  " 24 units " . 
__________________________________________________

the volume of a cone is 36π cubic units. What is the volume of a cylinder that has the same base area and the same height?

Answers

V_cone = 1/3 pi * r^2 * h
V_cylinder = pi*r^2*h

If you multiply the cone's volume by 3 then you get the cylinder's volume. They become the same formula
3 V_cone = pi r^2 h
Since the cone's volume is 36pi They cylinder's volume is 3*36pi = 108 pi

Final answer:

The volume of a cylinder with the same base and height as a given cone is three times the volume of the cone, so if the cone's volume is 36π cubic units, the cylinder's volume would be 108π cubic units.

Explanation:

The question involves finding the volume of a cylinder when the volume of a cone with identical base and height is given. Since the volume of a cone is one-third the volume of a cylinder with the same base area and height, we can find the volume of the cylinder by using the formula for the volume of a cylinder, V = πr²h, and multiplying the given cone's volume by 3. Therefore, if the volume of the cone is 36π cubic units, the volume of the cylinder would be 108π cubic units, because the volume of the cone is exactly one-third of the volume of a cylinder.

A triangular flowerbed is being planted inside a circular area of grass. What is the area of the entire circular region (including the flowerbed)? (Use 3.14 for π .) 10,562.96 ft 2 182.12 ft 2 2,640.74 ft 2 91.06 ft 2

Answers

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 SEE ATTACHED IMAGE.

 For this case what you should know is that the area of a circle is given by:
 A = pi * r ^ 2
 Where,
 r: radio
 On the other hand we have:
 r = d / 2
 Where,
 d: diameter.
 Substituting:
 A = pi * (d / 2) ^ 2
 We note that the diameter of the circle is 58 ft
 Substituting:
 A = 3.14 * (58/2) ^ 2
 A = 2640.74 feet ^ 2

 Answer:
 The area of the entire circular region (including the flowerbed) is:
 2,640.74 ft 2

Answer:

Answer is 2,640.74

A pineapple has 9 grams of sugar per slice.
A watermelon has 18 grams of sugar per slice.

Which statement is true?

Answers

What are the list of the statements?

Hello duniarivero1986!

The correct answer is: For an equal number of slices, the watermelon will have twice as much sugar.

#LearnWithBrainly

https://brainly.com/question/9166257

A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)

Facts in picture. Please help ASAP!!!

Answers

56 cups is the answer
56 cups is the answer to this question

y=-2/9x+2

turn this linear equation into standard form

Answers

Hi there!

Standard form is ax + by = c. 

Now, we just need to simplify the equation enough so that we can get the answer: 

y = -2/9x + 2
2/9x + y = 2

Since 2/9x + y = 2 is in standard form, it'd be the answer. 

Hope this helps!

the population of a town is represented by the formula p(t)=A(1.2)^t where A is the current population and t is time. determine to the nearest tenth of a year how long would it take the population to reach 5000 people if the current population is 3750

Answers

It would take 1.6 years.

The equation using our information would be:
[tex]5000=3750(1.2)^t[/tex]

We would first divide both sides by 3750:
[tex]\frac{5000}{3750}=\frac{3750(1.2)^t}{3750} \\ \\ \frac{4}{3}=1.2^t [/tex]

To solve for the exponent, we use logarithms:
[tex]\log_{1.2}(\frac{4}{3})=t \\ \\1.57788=t \\1.6 \approx t[/tex]

What is the approximate circumference of the circle

Answers

C = 2 pi r
C = 2 x 3.14 x 12.5
C = 78.5 cm

answer is C. 78.5 cm


At our school, 2 out of 3 students is involved in an after school activity. How many of the 600 students are in an after school activity at our school?

A. 300
B. 350
C. 400
D. 450

Answers

2÷3× 600 = 400 that is the answer 400
c 400 and this thing wont let me post the answer till theres more words 

how can 85% be broken down with friendly percents to find 85% of a number?

A. 2(25%)+3(10%)

B. 3(25%)+10%

C. 5(10%) +25%

D. 4(10%)+2(25%)

Answers

B. 3(25%)+10%
  is the only selection that adds to 85%.

_____
Personally, I might try 100%-10%-5%.
It can not be C or D because they do not even equal 85% so in this case I would should choice B

which are geometric shapes ?
select all that apply
-rhomas
-trapezoid
-scalene triangle
-isosceles triangle
-equilateral triangle

Answers

Rhomas and trapezoid

Ladonna made 36 muffins she put the same number of muffin on 4 plates how many muffins did she put on each plate

Answers

She put 9 muffins on each plate.
I hope I helped!
Well,Divide 36 Muffins by 4 plates to get your final answer of 9

Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)

Answers

I know for this one the answer is p(x)=  19x-15

Answer:

The value of p(x) is 19x - 15.

Step-by-step explanation:

Given,

The revenue mowing x lawns is, r(x) = 25x.

Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.

Hence, his profit from mowing is x lawns is,

p(x) = (r-c)(x) = r(x) - c(x)    ( Subtracting functions property )

By substituting values,

p(x) = 25x - ( 6x+ 15 )

= 25x - 6x - 15       ( Associative property )

= 19x - 15

What is 2 divided by 134.5

Answers

Hello there!

[tex]simplify \ 269/2 \\ \\ divide \ 2 \ divided \ by\ 269/2 \\ \\ \boxed{your \ answer} \\ \\ \boxed{\boxed{0.01486988}}[/tex]

I hope this helps you!

Answer:

0.01486988847

Step-by-step explanation:

What is the area of the triangle in the coordinate plane?
A. 108 units²

B. 91 units²

C.54 units²

D.44 units²


Answers

The answer to this is C.54 units² .

Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54

[tex]\huge\mathfrak {Answer}[/tex]

Area of triangle

= 》1/2 × Base × height

[tex] = > 54 {unit}^{2} [/tex]

Thanks

88 POINTS!!!

consider the function f(x)=x(x-4).
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):

Select a Value
(c-2,y)
(2-c,y)

Answers

consider the function f(x)=x(x-4).
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):


(2-c,y)

hopefully it's help you
 the answer for this question is(2-c,y)

to get to school Jenny decide to ride the school double decker bus it's a 30-minute ride the bus has a total of 20 rows of seats in each row has a capacity of four kids how many kids in total can ride the school bus

Answers

I think it’s 80 kids in all

A bag contains 30 red and blue marbles identical in size. Jason randomly selected 1 marble, recorded its color, and replaced it. He repeated this process 10 times and drew 6 red marbles and 4 blue marbles. Which of the following statements is MOST likely true about the marbles in the bag?

The bag contains 16 red marbles and 14 blue marbles.

The bag contains 12 red marbles and 18 blue marbles.

The bag contains 18 red marbles and 12 blue marbles.

The bag contains 15 red marbles and 15 blue marbles.

Answers

i think The bag contains 18 red marbles and 12 blue marbles.

Final answer:

The bag is most likely to contain 16 red marbles and 14 blue marbles due to the probabilities obtained from multiple draws that is option A is correct.

Explanation:

The bag contains 16 red marbles and 14 blue marbles.

For the first draw, the probability of selecting a red marble is 30/60 = 1/2.

Since the marbles are replaced, the probability remains the same for each draw.

Thus, the proportions suggest that the bag has more red marbles than blue marbles.

I WILL GIVE BRAINLIEST
In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (Answer) four minutes and twelve seconds




If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Awnser=??<--(what is awnser?)



Answers

Answer:

The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.

Step-by-step explanation:

It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.

The team’s best time for the race is

[tex]56.81+59.22+57.39+60.11=233.53[/tex]

1 min = 60 sec

Using this conversion we get

[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]

Therefore the team’s best time for the race is 3.89.

If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.

Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.

Final answer:

To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.

Explanation:

To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.



To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.



Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.

Learn more about Baton relay race here:

https://brainly.com/question/28319601

#SPJ11

Which expression is equivalent to sqrt 120x?

a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x

Answers

Answer:

a. [tex]2\sqrt{30x}[/tex]

Step-by-step explanation:

We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.

[tex]\sqrt{120x}[/tex]

Let us pull out perfect square from our radical expression.

We can rewrite our given expression as:

[tex]\sqrt{4*30x}[/tex]

Since square root of 4 is 2, so we can pull out 2 from our radical expression.

[tex]2\sqrt{30x}[/tex]

Therefore, the expression [tex]2\sqrt{30x}[/tex] is equivalent to our given expression and option a is the correct choice.  

Answer:

A

Step-by-step explanation: on Edge

The length of a rectangular garden is 15 less than twice the width. The area is 3375 ft^2. What are the dimensions of the garden?

Answers

The answer could 156 or 268 Thats what i got

Round 2,406,251 to the nearest thousand

Answers

i think it is 2,406,000
the answer is 2,406,000 
remember the rules for rounding, if is 5 and above your round up, if it is less than 5, round down

10.5 would round up to?

Answers

Hello,

The answer is "11".

Reason:

10.5=11

If the decimal number is 5 or over you round up one therefore you round up one.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

Answers

Thus, Adiya's approach is incorrect. The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial.

Explain about the method of completing square:Mathematicians employ the "completing the square" technique to change a quadratic expression of the type ax²  + bx + c into the vertex form a(x + m)² + n. The quadratic equation can be solved using this method most frequently by rearranging that expression acquired after the square has been completed.

Given condition-

Adiya explained that the first step to completing the square and finding the solution to the quadratic equation x² + 6 = 20x was to divide 6 by 2, square that number, and then add the answer to both sides.

Adiya's approach is incorrect.

The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial. The constant in the perfect square trinomial is also found using the coefficient of the term with an exponent of 1. The 20x term needs to be placed on the exact same side of the formula as x², according to Adiya. Then multiply 20 by 2 to get a square, add 100 to each sides.

Correct method:

x² + 6 = 20x

x² - 20x - 6 = 0

x² - 2*10x - 6  = 0

x² - 2*10x - 6 + 100 - 100 = 0

x² - 2*10x + 100 - 6 - 100 = 0

(x - 10)² - 94 = 0

(x - 10)² = 94

Thus, Adiya's approach is incorrect. The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial.

Know more about the method of completing square:

https://brainly.com/question/13981588

#SPJ1

What are the missing angle measures for

Answers

W=148
V=180-148=32
V=32
T=148
S=148
Yes, it is correct

write equivalent fractions for 2/5 and 1/3 that could be used to find the sum of the fractions.

Answers

Hello,

Here is your answer:

The proper answers to your question is "4/10 and 3/9".

Here is how:

Both fractions can be reduce to the fractions given:

4/2=2
10/2=5
&
3/3=1
9/3=3

Your answers are 2/5 and 1/3!

If you need anymore help feel free to ask me!

Hope this helps!

Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.

Answers

Yes, if all 8 of the students shared the cost of $100 dollars equally, that would mean each student paid $12.50.

Answer:

The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

Can the sides of a triangle have lengths 2.8, 3.6, and 7.1?
yes or no

Answers

No, it's not possible for the sides of a triangle to have those lengths.

According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.

[tex]2.8+7.1\ \textgreater \ 3.6[/tex]

This inequality satisfies the triangle inequality theorem.

[tex]3.6+7.1\ \textgreater \ 2.8[/tex]

This also satisfies the theorem.

[tex]2.8+3.6\ \textless \ 7.1[/tex]

Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.

sasha has a string that is the length of 5 beads. each bead is 2 inches long. what is the length of the string?

Answers

10 inches. Just multiply 5 by 2.
The length of the string is simply 10 inches.
Other Questions
you invest $2,000 in a stock plan and another $2,000 in a savings account the stock plan decreases 7% the first year and gains 10% the second-year the savings account earns 3.7 APR and compounds annually what's the difference in earnings between the stock and savings account in the end of the second year which protist is the most widely known form of making plankton and is thought to have given rise to plants? The Scream, painted by Edward Munch, has become a clich because it A. no longer evokes any emotional resonance. B. has been shown in so many art galleries. C. has been trivialized in ads and cartoons. D. represents the violence of the modern world. Which of the following descriptions BEST shows how a mirror relates to Estelle's character in No Exit? Estelle trusts her reflection in a mirror is the truth, but is afraid her reflection in Garcin's eyes will reveal who she really is. Sartre is using a mirror as a metaphor for the judgment given by "oneself." Inez is acting like a gullible lark, and Estelle is acting as her lark-mirror. Estelle is practicing "bad faith" by needing to physically see her reflection in a mirror as proof of her existence. A 9-year-old child presents to a school nurse with complaints of arm and leg pain. upon assessment, the nurse identifies numerous purple to yellow ecchymotic areas. when asked, the child says that the bruises are the result of "being in trouble at home." which action by the nurse is most appropriate? A=LW;for L. Solve for the indicated variable. Include all work in the answer. What is the software called that allows the user to create, access, and manage a database? question 8 options: a.dlp b.dbms c.oo model d.relational model? What does it mean to say that science is a systematic process? if a human egg recieves 2 copies of a chromosome and is fertilized, how many copies of the chromosme would there be in the resulting embryo Which answer shows a correct order to solve this story problem? Victor bought 3 sandwiches for $3.25 each, 3 bags of chips for $1.10 each, and a bottle of water for $1.99. He left the waiter a $2.25 tip. How much did Victor spend? A. Step 1: Add the price of a sandwich to the price of the bottle of water. Step 2: Multiply that total by 3. Step 3: Add the total price of 3 bags of chips to that total. Step 4: Add the tip to the final total for all the items. B. Step 1: Calculate the total price of the 3 sandwiches. Step 2: Calculate the total price of the 3 bags of chips. Step 3: Add $1.99 to total cost for the sandwiches and chips. Step 4: Add the tip to the final total for all the items. C. Step 1: Add the price of a sandwich and a bag of chips. Step 2: Add $1.99 to total for the sandwiches and chips. Step 3: Multiply that total by 3. Step 4: Add the tip to the final total for all the items. Which sentence from the passage is the best evidence that ben likes living in happy trails park? each family in happy trails park had created its own compact garden of eden with well-tended gardens, fire pits, barbecue grills, and outdoor furniture. a riot of red and white impatiens grew beneath the familiar, brightly painted happy trails park sign. he walked the familiar stone path toward his house on wheels and its small front garden. ben sighed with satisfaction as he finally reached his trailer and opened the front door? The orators are gathered together mainly for the purpose of? what was the main reason that britain entered the warbecause it was an ally of francebecause germany invaded neutral belgiumbecause it supported slavic nationalismbecause archduke fracas ferdinand was assassinated PLZ HELP ASAP IF YOU KNOW THE ANSWER!! Determine whether a triangle with the given side lengths is a right triangle angle: 15 cm, 17 cm and 19 cm Yes or No_________ Show your work to prove your answer: (need an answer asap please) Which pairs of coordinate adjectives best complete the sentences?Ellie was a cold (blank) girl.A. cold , freezingB. cheerful , mischievousHer brother, Jon, on the other hand was a (blank) boy.A. dull, uninterestingB. serious school. kyle bought 28 feet of wire at the handware store. the wire cost was $2.79per foot, including sales tax. if kyle paid with a $100 bill, how much change should he have received? Between March 2003 and April 2009, the United States' ongoing war against Iraq cost more than 4,000 American lives and approximately $650 billion. What do these facts indicate? A.The U.S. military is no longer capable of successfully completing major overseas operations. B.The Bush administration's predictions of a quick and relatively inexpensive victory were inaccurate. C.The Bush administration's military budget was designed to provide only enough troops to fight a limited war. D.The U.S. military encountered unexpected weapons of mass destruction and were defeated in major battles. How do you tell a triangle is not a right triangle The american warship that accidentally shot down a commercial iranian airliner was the Jill pulls on a rope to lift a 12 kg pail out of a well, while the clumsy Jack watches. For a 10.0 meter segment of the lift, she lifts the bucket straight up at constant speed. How much power is required to complete this task in 5.0 seconds?