If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?

Answers

Answer 1

Answer:

[tex]4x+6[/tex] units

Step-by-step explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

--> [tex]P = 2(L+W)[/tex]

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

[tex]L = x[/tex] (since the length is x)

[tex]W = x+3[/tex] (since the width is x+3)

3) After that, we substitute in the values:

[tex]P = 2(L+W)[/tex]

[tex]P = 2(x+(x+3))[/tex]

[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)

so: [tex]P=2(2x+3)[/tex]

Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]

get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]

[tex]2(2x) = 4x[/tex]

[tex]2(3) = 6[/tex]

So: [tex]P = 4x+6[/tex]

Hope this helps and have a nice day!! :) :]


Related Questions

Please helppp, worth 35!!!

Answers

Answer:

9.42

Step-by-step explanation:

Hey There!

The first step of this problem is to find the formula for arc length

[tex]arc-length=2\pi r(\frac{0}{360} )[/tex]

r=raduis

0 = angle

now we just plug in the values

[tex]arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961[/tex]

so the arc length equals 9.424777961

the last step is to round to the nearest hundreth

so your final answer is 9.42

(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function plz help i aint no good at math

Answers

Answer:

not it is not aa function

Step-by-step explanation:

You randomly choose one game piece. Find the theoretical probability of each event. Reduce the fraction in lowest terms and
indicate the percentage rounded to the nearest hundredth, if necessary.

Answers

Answer:

Yellow= 1/2 or 50%chance

Red= 1/5 or 20% chance

Blue= 1/5 or 20% chance

Green= 1/10 or 10% chance

Step-by-step explanation:

There are 10 game pieces

5 are yellow

2 are red

2 are blue

And 1 is green

5/10=1/2=50%

2/10=1/5=20%

2/10=1/5=20%

1/10=10%

Add these up and you get 10/10 or 100%

Hope this helps and don't forget to follow!

Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes? ​

Answers

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

please help me i really need help please

Answers

Answer:

90+42+x = 180

132+x=180

x=180-132

x=48

Answer:

48 DEGREES

Step-by-step explanation:

First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).

So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.

HOPE THIS HELPED

Plz help ASAP 20 Points Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3

Answers

C the answer to your question is C

Answer:

the answer is c

Step-by-step explanation:

your equation is to solve the circle so A could not be the answer B/c it can't be 9.the answer is c or d. But d can't give you 3 if you solve it. so the answer is C

6) A packet of 1350 chocolates were distributed among 3 sections A, B, C of class VI in the ratio 6: 5:4. Find each section's share
A)510, 460, 350
B)540, 450, 360
C)520, 440, 335
D)500, 400, 450

Answers

Answer:

its a or d

Step-by-step explanation:

a or d but ptibably a

need help horribly geometry question

Answers

Answer:

23.31 ft

Step-by-step explanation:

Reference angle = 47°

Opp = 25 ft

Adj = x

Apply trigonometry ratio TOA:

Tan 47 = Opp/Adj

Tan 47 = 25/x

x*Tan 47 = 25

x = 25/Tan 47

x = 23.3128772 ≈ 23.31 ft (to 2 d.p)

How do you Solve 20/3=10/9x

Answers

Answer:

200

Step-by-step explanation:

100✓9283+374+_+38_+_+_("#9#9_+

Answer:

x = 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

WILL GIVE BRAINYEST!!! PLS HELP!!!

Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.

Answers

First you are going to want to find the rate per hour (12/3=4) so multiply 4 x 5 = 20
Mr. Hudson is going to walk 20 miles in 5 hours

7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)

Answers

9514 1404 393

Answer:

  7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)

  8. a=0; see attached for a graph

Step-by-step explanation:

7. The function is a polynomial, so its domain is all real numbers.

The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.

__

8. Putting the given point coordinates in the equation, we can solve for a.

  f(7) = 6

  6 = a(7 -5)² +6

  0 = a(2²)

  0 = a

The value of a is zero.

(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.

Find the slope of the line that passes through (3, 7) and (1, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The correct thing is b

Mr. Tuyen uses
7/8
of a tank of gas each week to drive to and from his job.

How many tanks of gas does Mr. Tuyen use in 7 weeks? Enter your answer as a fraction and as a mixed number.

Answers

Answer:

Mr.Tuyen uses 3 1/8 tanks of gas in 5 weeks. The improper fraction version would be 25/8 if that is what you're looking for

Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Answers

Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)

Determine the equation of the graph in its final position if the graph of y = 2X
is translated 2 units to the right and then 7 units upward.
1) y = 2x+7+ 2
2) y = 2X-2 + 7
3) y = 2X+2+7
O4) y = 2x-7, + 2

Answers

Answer:1

Step-by-step explanation:

please find the value of a

Answers

Answer:

I cant lp because

i'm on the school computer so sorry. <:(

so I cant see your Step-by-step explanation:

26.) In a midnight sale in a mall, Charice bought a
shirt with 40% discount. How much did she pay if the
original price is Php 200?
A. PhP 80.00
C. PhP 140.00
B. PhP 120.00
D. PhP 160.00
I will give Brainliest ​

Answers

Answer:

B. 120.00

Step-by-step explanation:

200-40%=120

Answer:

the answer is very easy i calculated this so if my calculations are correct it will be PHP 160.00

Meng conducted a survey to determine the favorite flavor of ice cream in
his hometown. Fifteen of the fifty people he surveyed like strawberry best.
How many of the 3,500 residents in the town would you expect to like
strawberry ice cream? *

Answers

Answer:

1,050

Step-by-step explanation:

It’s in my notebook, so I can’t show

EI Sr. López necesita una escalera para podar sus árboles de naranjas. Le dice al herrero que necesita alcanzar una altura de 3 m sin estirar los brazos. El herrero sabe que el Sr. López mide 1.70 m, y sabe que por seguridad, una persona no debe subir más arriba del penúltimo peldaño de la escalera. El herrero le vende una escalera como la que se muestra.

Answers

la escalera tiene que ser de 2.30mts

Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?

Answers

Answer:

At least 26 questions to get around an 82% not 25 because that equals 78%

Step-by-step explanation:

Answer:

Kevin answered 24 questions correctly.

Kevin would have to answer 25.6 questions correctly to get more than 80%.

20 = 2(n – 3) solve.

Answers

If I’m not mistaken the answer will be 15.

explanation:

20 = 2(n - 3)

•first distribute
2xn= 2n
2x-3= -10

20 = 2n - 10

•add 10 to both sides (since the sign is negative do the opposite.)

30 = 2n

•divide both sides by 2.

Answer: 15

which expression equals the sum 1+2+3+4+5+6..

Answers

Answer:

7 * 3

7+7+7

3+3+3+3+3+3+3

2+2+2+2+2+2+2+2+2+2+1

(2*10)+1

(10*1)+11....

...and so on

Step-by-step explanation:

I don't know what type of expression you are looking for

Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *

Answers

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

can someone tell me how to do this I keep getting 3.14 over x​

Answers

Answer:

60.46%

Step-by-step explanation:

Question: On this dartboard, the circle with 1-m radius is inscribed in an equilateral triangle. Find the probability that a dart that hits the board lands in the circular region. Justify your answer.

Let's start by finding the length of one of the sides of the equilateral triangle. We can do this by creating a 30-60-90 triangle from the radius of the inscribed circle.

I attached an image of what this should look like.

Solving for the length of half of the base of the equilateral triangle gives us 1√3. To get the length of the entire base of the triangle, we will double this value:

s = 2√3

The area of an equilateral triangle is [tex]\displaystyle A=\frac{s^2 \sqrt{3} }{4}[/tex].

We can substitute the known value of s (side length) into the formula and solve for A.

[tex]\displaystyle A_t=\frac{(2\sqrt{3})^2\cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=\frac{4(3) \cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=3\sqrt{3}[/tex]

The area of the equilateral triangle is 3√3.

Now, let's solve for the area of the inscribed circle. The formula for the area of a circle is [tex]\displaystyle A= \pi r^2[/tex].

We know the radius of the circle is 1, so let's substitute 1 for r:

[tex]A_c= \pi (1)^2[/tex] [tex]A_c=\pi[/tex]  

The area of the inscribed circle is π.

To find the probability of the dart hitting a specific area on the dartboard, we will divide the desired area by the total area of the dartboard.

[tex]\displaystyle P=\frac{\text{Desired area}}{\text{Total area}}[/tex] [tex]\displaystyle P=\frac{\pi}{3\sqrt{3} }[/tex] [tex]\displaystyle P=\frac{\pi \sqrt{3} }{9}[/tex] [tex]P \approx 0.60459978[/tex]

The probability that a dart that hits the board lands in the circular region is about 60.46%.

The formula for the volume of a cone is V = 1/3 πr^2 h. Which part of the formula represents the area of the base?

Answers

πr^2 - the base of a cone is a circle, so use the equation for area of a circle

In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please

Answers

Answer:  12 inches

=============================================================

Explanation:

Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.

That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.

We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.

-----------------------------------

Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.

We'll use the pythagorean theorem to find XZ

a^2 + b^2 = c^2

(XZ)^2 + (ZY)^2 = (XY)^2

(XZ)^2 + (5)^2 = (13)^2

(XZ)^2 + 25 = 169

(XZ)^2 = 169-25

(XZ)^2 = 144

XZ = sqrt(144)

XZ = 12

Segment XZ is 12 inches long.

Solve for m. Write your answer as an inequality expression using the correct symbol.

m + 7 ≥ 20
PLZ help

Answers

Answer: m ≥ 13

m + 7 ≥ 20

Step-by-step explanation:

you basically subract 7 from 20 and 7

7-7 will cancel each other out 20-7 will give you = 13

m ≥ 13 is your answer

Algebra find the value of x in each figure.

Answers

Answer:

b. 156

Step-by-step explanation:

180 - 29 = 151

x-5=151

x=151+5

Answer:

x = 156

Step-by-step explanation:

A straight line has an angle of 180 degrees. Subtract the known angle from 180:

180 - 29 = 151

The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).

151 + 5 = 156.

x = 156.

Hope that helped :)

Tomás is gathering data about the sleeping habits of high school students. So far, he has completed 3 different surveys, each with 70 respondents.

What should Tomás expect as he continues his data-gathering process?

As the number of surveys increases, the mean of the sample means will approach ______, and the means will be ___________.
70 Points

Answers

Answer:

The population mean

Normally distributed

Please give me brainliest, I really need it.

a)As the number of surveys increases, the mean of the sample means will approach the population mean.

b)Means will be normally distributed.

What is a normal distribution?

A normal distribution is a probability distribution that is symmetric about the mean, and data near the mean are more frequent than data far from the mean.

As the number of surveys increases, we will have more data.

So, the mean of the sample means will approach the population mean.

Means will be normally distributed because each survey has the same number of respondents.

Thus, a)as the number of surveys increases, the mean of the sample means will approach the population mean.

b)Means will be normally distributed.

To get more about normal distribution visit:

https://brainly.com/question/4079902

Can somebody solve this question for me it would be so helpful I will give brainliest first it needs to be rounded to the nearest 10th

Answers

Answer:

F. 824.8 ft³

Step-by-step explanation:

To find the volume of a cube, you want to multiply the length by width by height.

l = 8.2

w = 9.4

h = 10.7

l • w • h

8.2  • 9.4 • 10.7

= 824.756

Round to the nearest tenth.

824.8 ft³

Hope this helps!

Other Questions
list two forms that rational choice can take. Which one is the correct Feminine singular article for the Spanish noun professorA. El profesor serio B. La profesor Nuevo C. La profesora alta you are asked to prapare a drink that is a heterogeneous mixture.what would you prapare?a.instant coffee and hot waterb.warm milkc.soft drinksd.orange juice with pulp help bonus pointsreal ans plzz !!WILL MARK BRAINLIEST!! PLS HELPPWhat are at least two reasons for which you personally think the rate of doping violations in sports has increased so much over the years? 3. How does the wavelength of green different from violet-indigo? the underline word pith as used in the passage most nearly means what is capital? in your own words. economics. Can someone please help me with this? sebuah pesawat penyelam terbang dengan kecepatan 55.0 m/s dengan ketinggian konatan h 400m dengann gaya gravitasi 9.8 m/s kuadrat.tentukan sudut elevasi !!help If you were to be a Saint, how would you help in this world? Someone plz help in this math question Find a solution to the linear equation y=-2x 12 by filling in the boxes with a valid value of x and y. A set of four postcards costs $1.00. Single postcards cost $0.50. What is the least amount of money youcan spend to buy exactly 15 postcards? Find x. Please help im really struggling i just need the equation! Which of the following is a main reason why the clergy were recorders and 2advisers to kings?They could read and write.They were honest and wise.They owned most of the land.O They made all the people obey. Federalist #10 puts a large focus on.................Bthe need for government to follow the will of the peopleThe need for government to control the people who could not becontrolledDThe need to add a Bill of Rights to the Constitutionthe danger of factionsEthe need for separating powers and having checks and balances Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,800 hours and the total estimated manufacturing overhead was $497,040. At the end of the year, actual direct labor-hours for the year were 21,500 hours and the actual manufacturing overhead for the year was $492,040. Overhead at the end of the year was: (Round your intermediate calculations to 2 decimal places.) Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?