Simplifying algebraic expressions

Simplifying Algebraic Expressions

Answers

Answer 1

Answer:

[tex] \sf \: 6 + 3b + 8 = 32[/tex]

Step-by-step explanation:

Given expression,

→ 6 + 3b + 8

Now we have to use,

→ b = 6

Let's solve the expression,

→ 6 + 3b + 8

→ 6 + 3(6) + 8

→ 6 + 18 + 8

→ 24 + 8

→ 32 => final value

Hence, the answer is 32.


Related Questions

The x-coordinate of point P is positive, and the y-coordinate of point P is positive. In which quadrant is point P?


Quadrant I


Quadrant IV


Quadrant II


Quadrant III

Answers

Answer:

Quadrant I

Step-by-step explanation:

b/c both are on the right side that means they are positive

Hey guys so I NEEEEEED HELP ON THIS MATH QUESTION, so here it is please help me P.S: LIMITED TIME, P.P.S: LIKE IN 40-74 MINUTES!!! HELP

The approximate diameters of Uranus and Mars are listed below:

Uranus: 5.11×10^4

kilometers

Mars: 6.79×10^3

kilometers

How many times larger is the diameter of Uranus? Write your answer in standard notation, rounding to the nearest tenth.

Answers

The number of times the diameter of Uranus is larger than the diameter of Mars is 7.5 times

How to determine the number of times larger is the diameter of Uranus

From the question, we have the following parameters that can be used in our computation:

The diameters of Uranus and Mars

These diameters are given as

Diameter of Uranus: 5.11×10^4 kilometers

Diameter of Mars: 6.79×10^3 kilometers

Express the diameters properly

So, we have the following representation

Diameter of Uranus: 5.11 × 10⁴ kilometers

Diameter of Mars: 6.79 × 10³ kilometers

This means that

Number of times larger = Diameter of Uranus/Diameter of Mars

Substitute the known values in the above equation, so, we have the following representation

Number of times larger = 5.11 × 10⁴ kilometers/6.79 × 10³ kilometers

Evaluate the quotient

So, we have the following representation

Number of times larger = 7.5

Hence, the number of times is 7.5

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Anyone know how to solve this?

Answers

Calculate the volume of the cylinder in square feet.
Pi•r^2•h
3.14•2^2•6
3.14•4•6
3.14•24


Then multiply by 62.5 lbs/ft^2
3.14•24•62.5

Tori spends $38.00 on coffee each month. About how much dose Tori spend on coffee over 9 months

Answers

Answer:

Tori spends $342.00 on coffee over 9 months

Step-by-step explanation:

38 x 9 = 342

= $342.00

Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking. ​

Answers

Answer:

He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.

Erin is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 5 mysteries, 5 dramas, and 7 action movies. How many different combinations of 9 movies can he rent if he wants all 5 mysteries

Answers

If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.

How are the various combinations determined?

The following formula determines how many combinations of n objects can be taken r at a time: (n,r) = C(n,r)! .

She was a master of both wit and martial arts. The art and science of education blend beautifully. He saw slam poetry as the ideal synthesis of thought, writing, and theater. The desired mix is produced by the computer system (the perfect combination of arabica and robusta).

Five documentaries make up the total.

7 comedies total are available.

Four mysteries are present.

5 horror movies are there.

A total of 14 films, excluding comedies, are available.

If he wants to rent all 7 comedies, there are a total of 9 different combinations that he can do.

1 * (14*13)/2 = 91

If he wants to rent all 7 comedies, there are 91 different combinations of 9 movies that he could do so.

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What is 13^c^11?
O A. 91
OB. 105
C. 78
D. 120

Answers

Answer:

78

Step-by-step explanation:

13! / 11! · 2!

13 x 12 / 2

13 x 6 = 78

There would be 78 possible combinations

How do i solve this question

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

Put 6 where x is and do the arithmetic.

  [tex]f(6)=\dfrac{5\cdot6-34}{2}=\dfrac{30-34}{2}=\dfrac{-4}{2}=\boxed{-2}[/tex]

The corresponding range value is -2.

__

The ordered pair is (6, -2).

1) Iris' puppy is 2 1/5 feet long. Which
decimal represents Iris' puppy's length?
a) 2.15 feet
b) .215 feet
c) 2.2 feet
d) 2.02 feet
need an answer ASAP!

Answers

c
1 / 5 = .2 and then you add 2

Answer:

c) 2.2 feet

Step-by-step explanation:

1) Iris' puppy is 2 1/5 feet long. Which

decimal represents Iris' puppy's length?

c) 2.2 feet

Fraction is equivalent




3
_
21

Answers

[tex]\huge\text{Hey there!}\\\\\\\mathsf{\dfrac{3}{21}}\\\\\mathsf{= \dfrac{3\div3}{21\div3}}\\\\\mathsf{= \dfrac{1}{7}}\\\\\huge\text{Therefore, your\ answer\ should\ be: \huge\boxed{\mathsf{\dfrac{1}{7}}}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Necesito esta actividad hecha para mañana y no ne dieron explicación previa

Answers

Answer:

uhhugvtrctreex

Step-by-step explanation:

Identify the factors of the quadratic equation below.

Answers

the picture is not available, pls try again

helpppppppppp plst q

Answers

Answer:

9π units

Step-by-step explanation:

The arc length is calculated as

length = [tex]\frac{1}{2}[/tex] × 2πr ( r is the radius )

length = πr = π × 9 = 9π ← exact answer

If the original recipe made 14 pancake and the cafeteria plan to charge $. 50 per pancake, how much money will they make if they ell all of the pancake made for the 75 people?

Answers

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

What is unitary method?

The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary method can be used to complete it.

Define ratio and proportion.

Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

If the cafeteria sells all of the pancakes made for 75 people, and the original recipe makes 14 pancakes, they would need to make 1475 = 1050 pancakes.

If they charge $0.50 per pancake and they sell all 1050 pancakes, they would make 1050$0.50 = $525.

Therefore, if the cafeteria sells all of the pancakes made for 75 people, they will make $525.

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Julien's parents want $64,000 at the end of 3 years. They put their money in an account that yields 10% per year compounded monthly. Julien's parents should deposit $______. Round your answer to the nearest dollar.

Answers

Answer: [tex]\$47,471[/tex]

Step-by-step explanation:

Given

Julien's parents want $64,000 at the end of 3 years

The rate of interest is 10% annually

Suppose they invested P amount initially

So, compound interest, compounded monthly is

[tex]\Rightarrow A=P\left( 1+\frac{r}{n}\right)^{nt}\quad [\text{n=Numner of compounding periods}]\\\\\text{Insert the values}\\\Rightarrow 64,000=P\left( 1+\frac{0.10}{12}\right)^{12\times 3}\\\\\Rightarrow 64,000=P\left( 1+\frac{10}{12}\right)^{36}\\\\\Rightarrow P=\dfrac{64000}{1.3481}\\\\\Rightarrow P=\$\ 47,471.37\approx \$ 47,471[/tex]

Edgar has a fountain that holds 5 quarts of water. He only wants to fill it 3/4 full. How many​ 1-pint containers does it take to fill the​ fountain? How could he fill it with pint and cup​ containers? Explain.

Answers

Answer:

Step-by-step explanation:

1 quart =  2 pints  =  4 cups

1 pint = 2 cups

1/2 pint =  1  cup    .....so.....

First question

5 quarts  =  10 pints

10 * (3/4)  =  7.5 pint   contianers   will fill it  3/4  full  

7.5   pints   =    7  pints   +  1 cup

Simplify the expression 6−2x+5+4x . Show or explain your reasoning.

Answers

Answer:

2x + 11 is your answer

Step-by-step explanation:

yeah just 2x + 11

sketch if it helps you.
There is an amoeba (a single-celled animal) on a dish-
After one hour, the amoeba divides to form two
amoebas.
One hour later, each amoeba divides to form two mor
Every hour, each amoeba divides to form two more.
How many amoebas are there after 6 hours?

Answers

Answer:

64

Step-by-step explanation:

PLEASE HELP ASAP!!!!!

Answers

Answer:

Left triangle: 12.5 cm

Right triangle: 21 cm

Trapezoid: 50 cm

Total: 83.5

Step-by-step explanation:

Left triangle: The formula to find the area of a triangle is 1/2bh, in which b=base and h=height. The base of the left triangle is 5 cm and the height is 5 cm. 5*5=25. 25/2=12.5 cm.

Right triangle: Once again, use the area formula for a triangle. The base of the right triangle is 6 cm and the height is 5+2=7. 6*7=42. 42/2=21 cm.

Trapezoid: The formula to find the area of a trapezoid is a+b/2(h) in which a and b are the top and bottom of the trapezoid and h=height. In this case, a=9 cm and b=5+6=11 cm. The height is 5 cm. 9+11=20. 20/2=10. 10*5=50 cm.

Add all of the areas. 12.5+21+50=83.5. So, the total area is 83.5 cm.

PLEASE IM BEGGING FOR HELPP

Answers

Answer:

y ≥ 1

Step-by-step explanation:

According to the graph, the y values start at 1 and go to ∞. Therefore, the range of the function is y ≥ 1.

Write the equation of the line in slope-intercept form that contains the points (4, -1) and (9, 9).

Answers

Answer:

y = 2x - 9

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - (-1) / 9 - 4

10 / 5

= 2

y = 2x + b

-1 = 2(4) + b

-1 = 8 + b

-9 = b

what is the vertex and solutions for y=x^2+5x-7 and y=-x^2+3x+8

Answers

The vertex for the given equation [tex]y=x^2+5x-7 is (-2.5,-4.25)[/tex] and the solution  to the equation is x = -5,7/1. Similarly , the vertex for the given equation  [tex]y=-x^2+3x+8\ is\ (-3/2,1/4)[/tex] and the solution to the equation is [tex]x = -2,4[/tex].

What is parabola?

The graph of a quadratic function is a symmetrical, U-shaped geometric form known as a parabola. It is the collection of all points that are equally spaced apart from a fixed point (referred to as the focus) and a fixed straight line (called the directrix).

What is vertex of a parabola?

A parabola's vertex is the location where its symmetry line and parabola intersect.

The vertex of a parabola is the highest or lowest point on the graph of the parabola. In the case of a parabola in the form of [tex]y = ax^2 + bx + c[/tex], the vertex is the point (h, k), where:

[tex]h = -b / 2a\\k = f(h) = a(h^2) + bh + c[/tex]

For the first equation: [tex]y = x^2 + 5x - 7[/tex]

The vertex would be:

[tex]h = -b/2a = -5/2 = -2.5\\k = f(h) = a(h^2) + bh + c = (1)((-2.5)^2) + (5)(-2.5) - 7 = 6.25 - 12.5 - 7 = -4.25[/tex]

So the vertex is [tex](-2.5,-4.25)[/tex]

For the second equation:[tex]y = -x^2 + 3x + 8[/tex]

The vertex would be:

[tex]h = -b/2a = -3/2(1) = -3/2\\k = f(h) = a(h^2) + bh + c = (-1)((-3/2)^2) + (3)(-3/2) + 8 = -9/4 + -9/2 + 8 = 1/4[/tex]

So the vertex is [tex](-3/2,1/4)[/tex]

To find the solutions or roots of the equation, you can set the equation equal to zero and solve for x.

[tex]y = x^2 + 5x - 7 = 0\\x^2 + 5x - 7 = 0\\x^2 + 5x - 7 + 7 = 0 + 7\\x^2 + 5x = 7\\x(x+5) = 7\\x = -5,7/1\\y = -x^2 + 3x + 8 = 0\\x^2 - 3x - 8 = 0\\(x-4)(x+2) = 0\\x = -2,4[/tex]

Solutions for first equation are x = -5 and x = 7/1 and for the second equation are x = -2 and x = 4

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After Charlie ate 2/3 of the remaining cake, he divided the rest equally among his 3 friends. What fraction of the pan of cake did each friend get? Write an expression and show all of your work.

Answers

Answer: 1/9 of the cake

Step-by-step explanation:

Charlie ate 2/3 of the cake which means that what is left to give the friends is:

= 1 - 2/3

= 1/3 of the cake

This was divided equally amongst three friends so the expression would be:

= 1/3 ÷ 3

This can also be written as:

= 1/3 * 1/3

= 1/9

Each friend got 1/9 of the cake.

Answer:

1/9 of the cake

Step-by-step explanation:

1  -  2/3    =   1/3   left

(1/3)  / 3   =    1/9   =  what each friend got

In  one fell  swoop  we  have  ( 1 - 2/3)  / 3     =   1/9

Yesenia buys water to make tea for all her friends. She buys 1 qurt of water and 1/2 gallon of water. How many cups of water does she buy

Answers

Answer:

12 cups of water

Step-by-step explanation:

This question has to do with conversion

We are told that she buy 1 quart and 1/2 gallon of water.

Hence,

1 quart of water = 4 cups of water

1 gallon of water = 16 cups of water

1/2 gallon of water = x

Cross Multiple

x = 1/2 × 16 cups of water

x = 8 cups of water.

Therefore, the total cups of water that she bought = 4 cups of water + 8 cups of water = 12 cups of water

David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour,
but realizes that he will be 1 hour late if he continues at this speed. He increases his speed by 15
miles per hour for the rest of the way to the airport and arrives 30 minutes early. How many miles
is the airport from his home?
(A) 140 (B) 175 (C) 210 (D) 245 (E) 280

Answers

If David drives from his home to the airport to catch a flight. He drives 35 miles in the first hour, but realizes that he will be 1 hour late if he continues at this speed. The number of miles that is the airport from his home is 210.

How to find the distance?

Let d represent the distance that is needed to travel 1 hour

1 hour late decreased to 0.5 hours early = 1.5

Hence,

d/50 + 1.5 = d/35

Simplify

7d + 525 =10d

Collect like terms

525 = 10d - 7d

525 = 3d

Divide both side by 3d

d = 525/3

d = 175

Total number of miles :

Total number of miles = 175 + 35

Total number of miles = 210

Therefore we can conclude that the correct option is C.

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Mark is buying a game from an online store. He has not heard of the store or the online payment service before, but the price is very good. Is Mark at risk buying the game online at this store? Why? Select the best answer from the choices provided. A. No, because online transactions are more secure than cash payments. B. Yes, because online transactions are less secure than payments by check. C. No, because liability is limited to $50 with online payment services. D. Yes, because the online payment service is unknown to him.

Answers

It could be B but I want to say D because it relates more to the question.

There are 84 classes in a school. Two-thirds learned about the Holocaust. The rest did not. How many classes did not learn about the Holocaust?

Answers

Answer:

28 classes

Step-by-step explanation:

84/3 = 28 classes

Answer:

28 classes didn't learn about the Holocaust

Step-by-step explanation:

If there are 84 classes and two-thirds learned about the Holocaust that means that you have to divide by three.

84 ÷ 3 = 28

Then, you can check your answer by multiplying 28 × 3 = 84

If G-H-I, and if GH = 2x - 9 , HI = 14 , and GT = 3x - 8 , then find GI.

Answers

The value of GI, given that GH = 2x - 9 , HI = 14 , and GT = 3x - 8 will be 31.

What is the value of the variable?

An algebraic equation is formed by comparing two algebraic expressions to one another.

In G-H-I, GH = 2x - 9, HI = 14 , and GT = 3x - 8

If G-H-I is a line and GH, HI and GT lies between G to I

To find G to I ⇒ GI = GH + HI = GT

GI = 2x - 9 + 14 = 3x - 8

2x + 5 = 3x - 8

2x - 3x = -8 - 5

-x = -13

x = 13

Substituting x in GT = 3x - 8; GI = GT

GI = 3(13) - 8

GI = 39 - 8

GI = 31

Using algebraic expressions, if x is 13 then, 3x - 8 or 2x - 9 will be GI = 31

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find the area of the region enclosed by one loop of the curve. r = sin(6θ)

Answers

Area of the region enclosed by one loop of the curve is pi/288.

To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:

A = 1/2 * ∫(r^2)dθ

We can use this formula with the equation for r given:

A = 1/2 * ∫(sin^2(6θ))dθ

This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))

Thus,

A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ

This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).

Therefore, the area enclosed by one loop of the curve is

A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6

A = (1/48)(sin(2pi) + pi/6)

   = (1/48)(0 + pi/6)

   = pi/288

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Help! NO LINKS!!!
I need an answer so if anyone can help,please do!

Answers

It’s A !! I’m 100% sure
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