- The lengths (in feet) of the sides of a pentagon can be represented by these
expressions: 6a, a, 4, 8, and 2a. Write a simplified expression for the perimeter
of the pentagon in feet.

Answers

Answer 1

Answer:

  9a+12

Step-by-step explanation:

The perimeter is the sum of the side lengths, so is ...

  6a + a + 4 + 8 + 2a

  = a(6 +1 +2) + (4 +8)

  = 9a +12


Related Questions

Which line is the graph of y = -2x + 2?

line a
line b
line c
line d

Answers

Answer:

The Answer is Line B

Step-by-step explanation:

the points that make up the graph is ( 0,2) and (1,0)

Answer:

Line B

Step-by-step explanation:

what ordered pair is a solution for y-4=7(x-6)

Answers

Answer: People don't get confused by this guy the answer is basically clear its neither trust me guys.

There will be 25 party guests. 8
pieces of pizza dough come in a
package. How many packages do
I need to buy? ​

Answers

First you need to know how much each guest will eat
well if you bought 3 packages that would be 24 pieces of pizza dough. and you still need one more piece, so 4 packages!

The theoretical probability of choosing a red grape from a
bag of grapes is 2/9. There are 8 red grapes in the bag. How
many grapes are in the bag?

Answers

Answer:36

Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36

By using the theoretical probability formula, the total number of grapes in the bag is 36

Probability

From the question, we are to determine how many grapes are in the bag

Let the total number of grapes in the bag be x

From the probability formula,

[tex]P(A) = \frac{Number\ of\ favorable \ outcomes \ to \ A }{Total\ number\ of\ possible\ outcomes}[/tex]

Let R represent red grapes,

Then,

[tex]P(R) = \frac{Number\ of\ favorable \ outcomes \ to \ R }{Total\ number\ of\ possible\ outcomes}[/tex]

From the given information,

P(R) = 2/9

Number of favorable outcomes to R = 8

Therefore,

[tex]\frac{2}{9} = \frac{8}{x}[/tex]

2x = 9 × 8

2x = 72

x = 72 / 2

x = 36

Hence, the total number of grapes in the bag is 36.

Learn more on Probability here: https://brainly.com/question/23464688

#SPJ2

I need help on this:(

Answers

Answer:

Not to sure if this is correct but I think it is 6: 1 : 18

pls msg me if you need explanation

Use the figure. Identify a segment that intersects Ef.

Answers

Answer:

[tex]\overline{FG}[/tex]

Step-by-step explanation:

When two line segments intersects, then they have a common point.

From the diagram FG intersects EF

Also HG intersects EF

From the given options, the correct answer is [tex]\overline{FG}[/tex]

Therefore the first choice is correct

chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.

Answers

Answer:

[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]

Step-by-step explanation:

[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]

Total Number of items:

[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]

Total yarn used:

[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]

[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]

Omar made $299 for 13 hours of work.
At the same rate, how many hours would he have to work to make $253?

Answers

Answer:

The answer is (11 hours)

Step-by-step explanation:

I first divided 299 by 13 hours to find the rate.

I got the dividend of 23.

All you do now is add $23 per hour.

Once you add 11 hours of this rate. You'll get the sum of $253.

Solving for the amount of hours by cross multiplication

money/hours=money/hours

$299/13hours=$253/x hours

[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the right most side is 2x-5

Answers

Answer:

[tex](9x-5)\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three  sides

so

[tex]P=a+b+c[/tex]

where

a,b,c are the length sides of the triangle

In this problem we have

[tex]P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units[/tex]

substitute and solve for the missing length

[tex](16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units[/tex]

What is the product of 1/2×32

Answers

Answer:

The product of 1/2*32 is taking 32/2

Half of 32 is 16

Product of 1/2*32=16

Hope this helps ;)

Answer:

16

Step-by-step explanation:

when you multiply buy a fraction you will end up with half of the one of the things you were multiplying this means that half of 32 is 16 so 16 is your answer if you need help on understanding how to multiply fractions think of it like this

1/2 x 32=    32 divided by 2

both ways will give you the same answer

hope this helps better your understanding

8 plus 4 times a number is greater than 5 times the number

Answers

Answer:

x<8

Step-by-step explanation:

4x+8>5x

8>5x-4x

8>x

the answer would be 4x+8>5x

Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.
_______________________________________________________________________________________________________________________________________

Answers

Mario says that the expression [tex]4+3n^2[/tex] has four terms: 4, 3, n, and 2. Mario is incorrect

Solution:

Given that the expression is:

[tex]4+3n^2[/tex]

Given that, Mario says that the above expression has four terms

But Mraio is incorrect

Because the given expression has two terms only

4 is one of the term

[tex]3n^2[/tex] is another term

So there are totally 2 terms only

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

Here 3 is a constant multiplied by [tex]n^2[/tex]

So, [tex]3n^2[/tex] is one term

Each term in an algebraic expression is separated by a + sign or - sign

Thus there are two terms in mario expression

I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a result much larger than it. Can someone help?

Answers

You have the ratios set up but you need to cross multiply everything:

(5x + 10) x 11 = 121 x 10

55x + 110 = 1210

Subtract 110 from both sides:

55x = 1100

Divide both sides by 55:

X = 1100 / 55

X = 20

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
1) The vertex is (1, 2), the domain is all real numbers, and the range is y > 2.
2) The vertex is (1, 2), the domain is all real numbers, and the range is y s 2.
O3) The vertex is (-1, 2), the domain is all real numbers, and the range is y 2 2.
4) The vertex is (-1, 2), the domain is all real numbers, and the range is y s 2.

Answers

Answer:

2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

Step-by-step explanation:

Look at the photo below for the graph.

:)

A semi-truck can hold 8,500 pounds of cargo. How many tons can it hold?

Answers

Answer:4.25 tons

Step-by-step explanation:

Solve the equation. Write solutions using integers or simplified fractions. 5−(y−3)=14−4(y+2)

Answers

of course the answer is Y=. - 2/3

Answer:

-2/3

Step-by-step explanation:

5 − (y−3)=14− 4 (y+2)

Expand

5 - y + 3 = 14 - 4y - 8

Collect like terms

-y + 4y = 14 - 8 - 5 -3

(-1 + 4)y = - 2

3y = -2

Divide both sides by 3

3y/3 = -2/3

y = -2/3

I hope this was helpful, Please mark as brainliest

Please help. There is a file included.

Answers

Answer:

0

Step-by-step explanation:

8 + - 4 - 4

(goes in the 2nd box)

0

(goes in the last empty box)

is 0.02 greater that 1/50

Answers

Answer:

No and yes.

Step-by-step explanation:

Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.

Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Explanation:

0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].

Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Step-by-step explanation:

1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].

2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].

3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].

4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is drawn through Q and Which statement about Lines p and q is true?

Lines p and q are parallel.

Lines p and q are perpendicular.

Lines p and q have the same x-intercept.

Lines p and q have the same y-intercept.

Answers

Answer:

Lines p and q are parallel

Step-by-step explanation:

1) Completing the question:

On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?

2)

If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.

3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.

Helpp Image attached

Answers

The area of new circle is 5625π square inches.

Step-by-step explanation:

Given,

Area of circular plate = 625π square inches

Let,

Radius = r

Area of circular plate = πr²

[tex]\pi r^2=625\pi[/tex]

Dividing both sides by π

[tex]\frac{\pi r^2}{\pi}=\frac{625\pi}{\pi}\\\\r^2=625[/tex]

Taking square root on both sides

[tex]\sqrt{r^2}=\sqrt{625}\\r=25[/tex]

The radius of plate is 25 inches.

When the radius is tripled = 25*3 = 75 inches

New area of circle = πr²

New area of circle = [tex]\pi (75)^2\\[/tex]

New area of circle = [tex]5625\pi[/tex] square inches

The area of new circle is 5625π square inches.

Keywords: circle, area

Learn more about circles at:

brainly.com/question/10364988brainly.com/question/10435816

#LearnwithBrainly

Find the value of the expression 21 - 2a if a = 3

Answers

Answer:

15

Step-by-step explanation:

Substitute in the values

2 X 3 = 6

21 - 6 =15

Final answer:

To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.

Explanation:

The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:

21 - 2(3) = 21 - 6 = 15.

Therefore, the value of the expression when a is 3 is 15.

Learn more about Evaluating Expressions here:

https://brainly.com/question/29040058

#SPJ2

The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours
spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the
number of hours spent exercising.
What is (f + g)(2)? Explain.

A. 214 burned just exercise 2 hours
B. 214 burned exercise and
diet 2 hours
C. 343 burned dieting 2 hours
D. 343 burned exercise and diet 2 hours.

Answers

The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.

The functions are given as:

f(x) = 2x+ 210

g(x) =2x + 125

Start by calculating (f + g)(x) using:

(f + g)(x) = f(x) + g(x)

So, we have:

[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]

This gives

[tex](f + g)(x) = 4x + 335[/tex]

When x = 2, we have:

[tex](f + g)(x) = 4*2 + 335[/tex]

[tex](f + g)(x) = 343[/tex]

This means that 343 calories were burned by exercising and dieting for 2 hours

Read more about composite functions at:

https://brainly.com/question/10687170

Does 5 go into 100 equally

Answers

yes, 5 goes into 100 exactly 20 times because 5 multiplied by 20 is 100

Which statement describes the congruent triangles?

Triangles W Z X and Z Y X. Sides W Z and X Y are congruent, sides Z Y and W X are congruent, and sides Z X are congruent.
Triangle W X Z is congruent to triangle Y Z X
Triangle W X Z is congruent to triangle Y X Z
Triangle W X Z is congruent to triangle X Y Z
Triangle W X Z is congruent to triangle Z Y X

Answers

Answer:

Triangle W X Z is congruent to triangle Z Y X

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent .The two triangle are said to be the mirror image of each other.

In the simple case above the two triangles WXZ and ZYX are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.

Answer:

its acctually Triangle W X Z is congruent to triangle Y Z X

Step-by-step explanation:

Help! Rewrite the expression using the LCD

Answers

The answer is A and here is why

Answer:

1st one is A

2nd is B

EDGE


what does AE equal?

Answers

Answer:

70

Step-by-step explanation:

BD is 1/2 the size of AE which is derived from the property of midpoints and the parallel lines.

Therefore if BD = 35, AE is twice as long.

AE = 70

What is the solution to this polynomial equation? x3 + 2x2 - 4x - 8 = 0

Answers

Final answer:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.

Explanation:

The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.

We can begin by factoring out the greatest common factor, which is 1:

x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)

We can further factor the quadratic term using the difference of squares:

(x + 2)(x + 2)(x - 2) = 0

So, the solutions to the equation are x = -2 and x = 2.

what is y+7= -1/2 (x-6)​

Answers

Answer:

Step-by-step explanation:

y + 7 = -1/2(x - 6)

y + 7 = -0.5x +3

y = -0.5x - 4

Answer:

y=-1/2x-4

Step-by-step explanation:

first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms

A circle with radius of 6 cm sits inside a circle with radius of 9 cm.
What is the area of the shaded region?

Round your final answer to the nearest hundredth.

Answers

Answer:

Equation for the area of a circle- π r²

The 2 radiuses are 6 and 9.

6 squared is 36 and 9 squared is 81.

The smaller one is 36π and the larger one is 81π.

The difference between them is the area of the shaded region.

81π - 36π = 45π

Use 3.14 for π.

45 x 3.14 = 141.3 u²

Hope this helps!

A circle is a curve sketched out by a point moving in a plane. The area of the shaded region is equal to 141.37 cm²

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The area of the shaded region can be found by subtracting the area of the larger circle from the area of the smaller circle. Therefore, the area of the shaded region is,

Area = π(9 cm)² - π(6 cm)²

        = 141.37 cm²

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ2

show work please~

there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint

for every 1 cup of blue paint, ___ cups of red paint are needed

for every 1 cup of red paint, ___ cup of blue paint is needed

for every 4 cups of red paint,___ cups of blue paint are needed

Answers

For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed

For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed

For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed

Solution:

Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint

Therefore, ratio is

[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]

For every 1 cup of blue paint, ___ cups of red paint are needed

Let "x" be the cups of red paint needed

Then we get,

[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]

This forms a proportion

[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]

Therefore, 10/4 cups of red are needed for 1 cup of blue

For every 1 cup of red paint, ___ cup of blue paint is needed

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]

Thus, 4/10 cups of blue are needed for 1 cup of red paint

For every 4 cups of red paint,___ cups of blue paint are needed

Let "x" be the cups of blue paint needed

Then, we get

[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]

This forms a proportion

[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint

Final answer:

The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.

Explanation:

The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.

So, if you reduce it down:

For every 1 cup of blue paint, 5/2 or 2.5 cups of red paint are needed.For every 1 cup of red paint, 2/5 or 0.4 cup of blue paint is needed.For every 4 cups of red paint, 4*(2/5) or 1.6 cups of blue paint are needed.

Learn more about Ratios here:

https://brainly.com/question/32531170

#SPJ12

Other Questions
My father was the sun and moon to me. What type of figurative language is used in this sentence? PLZ HELP WILL GIVE 10 PTS + BRAINLIEST THX SO SO SO SO SO SO MUCH!!!!If (6^2)^p = 6^10, what is the value of p?a. 2b. 3c. 4d. 5ty! :D An increase in human capital would tend to Group of answer choices decrease worker productivity. decrease employee wages. increase worker productivity. decrease the number of people working. have no effect on worker productivity. What tone or mood is the author trying to create when Miranda writes about hallmark cards on page 39? Assume a bank's bid rate for the Danish kroner (DKK) is $0.1875, while its ask rate is $0.1895. Assume you convert $1,000 to Danish kroner to take on your trip to Denmark. Immediately after conversion, a family emergency arises, and you are unable to go on your trip. Thus, you convert the Danish kroner back to dollars.How many Danish kroner will you receive when converting the dollars initially? The cell walls of bacteria, fungi, and plant cells and the extracellular matrix of animal cells are all external to the plasma membrane. Which of the following is a characteristic common to all of these extracellular structures?A) They must block water and small molecules in order to regulate the exchange of matter and energy with their environment.B) They must permit information transfer between the cell's cytoplasm and the nucleus.C) They must provide a rigid structure that maintains an appropriate ratio of cell surface area to volume.D) They are constructed of polymers that are synthesized in the cytoplasm and then transported out of the cell.E) They are composed of a mixture of lipids and carbohydrates. When consumers started using cell phones, it became evident to technology corporations that helping consumers find a way to "shop" on their phone would be a well-accepted practice. As a result, "apps" became an adaptation to this new cell phone environment. These "apps" are an example of _________. In which physical activity would the average 11-year-old prepubescent girl have a distinctive advantage over an 11-year-old prepubescent boy? The Maclaurin series expansion for the arctangent of x is defined for |x| 1 as arctan x = n=0 [infinity] (1)n ______ 2n +1 x 2n+1 (a) Write out the first 4 terms (n = 0,...,3). (b) Starting with the simplest version, arctan x = x, add terms one at a time to estimate arctan(/6). After each new term is added, comput x=9y5x+3y= -48What does x equal?What does y equal? -4h - 3 < 9h < 12h > -3h < -3h > -12 House prices in a certain area wentup by 150% between 1995 and 2005.The price of a house in the area was180 000 in 2005.What was its price in 1995? For each of the following, give the sublevel designation, the allowable ml values, and the number of orbitals:(a) n = 2, l = 0(b) n = 3, l = 2(c) n = 5, l = 1 Which types of decisions are more prevalent at lower organizational levels? Group of answer choices Structured decisions Procedural decisions Unstructured decisions Semistructured decisions Operational decisions The difference of 5 and n cubed Break 42 into 7 equal fractions In the United States in 1986, 48.7% of persons age 25-pluswere males. Of these males 23.8% were college graduates. In addition, 20.5% of all persons (malesand females) were college graduates.A) What proportion of persons 25-plus were female college graduates?B) What proportion of females 25-plus were college graduates? Rockets were invented by the Chinese about a.d 1000. Which of the following is an example of erosion?ions in water reacting with rocksplant roots splitting rocks apartwind blowing sand against a rocka glacier carving a valley Unemployment is the ratio of A. unemployed workers to employed workersB. unemployed workers to total workers C. workers to total populationD. workers to nonworkers