This green rug has a perimeter of 36 feet. The length is 3 + x and the width is 5. Write an expression that can be used to find the missing value of x. Combine like terms of your equation until it is the most simplified form. What is the value of x? Explain your reasoning.

Answers

Answer 1

Answer:

An equation for this would be : 36=3+x+3+X+5+5

the simplified version would be: 20=2x

The value of x = 10 feet

Step-by-step explanation:

Since perimeter is all the sides added together, and 36 ft is the perimeter,

think of a rectangle, 2 sides would be 3+x and the other 2 would be 5.

thus,

36=3+x+3+x+5+5

now add all like terms and you get 36=16+2x

subtracting 16 on both sides,

20=2x

dividing by 2 both sides,

x=10 feet.


Related Questions

Help I made it maxed points

Answers

Answer:

B

Step-by-step explanation:

66/4=99/6=330/20=16.5

Since there is a constant ratio between these values, the function is a line, and the equation of that line is w=16.5m, or choice B. Hope this helps!

Answer:

w=16.5

Step-by-step explanation:

All you have to do is divide the number of gallons of water by the number of minutes and you will get your answer.

66/4=16.5

99/6=16.5

330/20=16.5

I hope I've helped.

I AM GIVING OUT BRAINLIEST One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?


-x^2 + 18x + 81

3x^2 - 3x - 168

x^2 - 4x - 4

25x^2 - 30x + 9

x^2 - 14x + 24

Answers

Answer:

3/5

Step-by-step explanation:

First one   18^2 - 4(-1)(81)  > 0    so no repeated root

Second one     (-3)^2  - 4(3) (-168)  >  0    so no repeated root

Third one   (-4) - (4) (1) (-4)  > 0      so no repeated root

Fourth one  (-30)^2  - 4(25) (9)   =  900 - 100(9)  =  0      repeated root

Note  this factors  as  (5x - 3)^2  

(5x - 3)^2  = 0     take both roots

5x - 3  = 0

5x  = 3

x  =  3/5   = repeated root

The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5

How to know a quadratic has repeated root ?

Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.

Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.

If  [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.

Which quadratic has repeated root ?

The discriminant of [tex]-x^{2} +18x+81[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]3x^{2} -3x-168[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]x^{2} -4x-4[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]25x^{2} -30x+9[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0

So, This quadratic has repeated root.

The discriminant of [tex]x^{2} -14x+24[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0

So, This quadratic has no repeated root.

What is the repeated root ?

The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.

Simplifying the equation we get,

[tex]25x^{2} -30x+9[/tex] = 0

⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0

⇒ [tex](5x-3)^{2}[/tex] = 0

⇒ 5x-3 = 0

⇒ 5x = 3

⇒ x = 3/5

The repeated root is 3/5.

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Please this is the question sorry didn’t upload last time.
Help very important

Answers

i think number 4. is. a, d, r

Factor 2k^2+25k+72 completely​

Answers

Answer:

(k + 8) • (2k + 9)

Step-by-step explanation:

I strongly suggest downloading Photomath. It’ll help a lot.

60 points

What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1? The slope is –10, and the y-intercept is –1. The slope is –10, and the y-intercept is 1. The slope is –1, and the y-intercept is –10. The slope is 1, and the y-intercept is –10.

Answers

Answer:

2. the slope is -10 and y-intercept is 1

Step-by-step explanation:

hope this helps!

Answer:

B. The slope is –10, and the y-intercept is 1.

Step-by-step explanation:

Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:

- m: this is the slope value

- b: this is the y-intercept

Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.

Thus, the answer is B.

What is the slope of the line described by the equation below?
y-5 = 6(x-4)

Answers

Answer:

6

Step-by-step explanation:

To solve this, you need to have your equation in slope-intercept form.  This is y=mx+b, where m is the slope and b is the y-intercept.

y - 5 = 6(x - 4)

y - 5 = 6x - 24

y = 6x - 19

The slope, m, is equal to 6.

Please Help, Math question.
What is the prime factorization of 86? Use * for multiplication.

Answers

Answer:

2 * 43

Step-by-step explanation:

Answer:

2*43

Step-by-step explanation:

which figures are polygons

Answers

Polygon: a figure formed by coplanar segments

with one distinct interior region

Figure A, Figure B, and Figure D would be considered polygons.

Notice that those figures I mentioned above are

composed of line segments, and nothing else.

In addition, these figures don't have two separate

interior regions and figures that do aren't polygons.

Figure C would not be a polygon because

it's formed by a curve rather than line segments.

Plz help I rly need this urgently will mark brainliest if correct :)

Answers

Answer:

a. 0.8x+1.25y

b. $5.70

Step-by-step explanation:

a. Let x represent the number of apricot bars and y represent the number of cranberry bars. A apricot bar costs 0.80 each and cranberry bars cost 1.25 each. So the expression for the income is 0.8x+1.25y.

b. To find the answer, plug in values to the previous expression. Since Kayley bought 4 apricot bars and 2 cranberry bars, plug in 4 for x and 2 for y.

0.8(4)+1.25(2)= 5.70

So, she spent $5.70.

Find the interest on a loan of $2500 that is borrowed at 9% for 18 months.

Answers

Answer:

$338.50

Step-by-step explanation:

Simple interest would be i = ($2500)(0.09)(1.5 yrs)  =  $338.50

What is the initial value of the sequence?
The points shown on the graph represent the numbers in a
geometric sequence.
1
2
3
8

Answers

Answer:

B) 2

Step-by-step explanation:

the initial value would be the first point and on this graph that first point is (1,2). and you should look at the x-value meaning your answer is 2

Answer:

It's 2

Step-by-step explanation: hope it helps ^w^

Currently, there are $350$ students in the seventh grade at Winchester Heights Middle School. For the upcoming school year, they are planning to increase the number of seventh graders by $10\%$ .

How many seventh-grade students does Winchester Heights Middle School plan to have in the upcoming school year?

Answers

Answer: 385 students

Step-by-step explanation:

Answer:

Current number of students : 350

The number of students after increasing 10% N:

N = 350 + 10% of 350 = 350 + 350 x 10/100 = 350 + 35 = 385 students

Hope this helps!

:)

f(x) = x
g(x) = 1
What is the domain of
(g/f)(x)

Answers

Answer: x≠0

Step-by-step explanation:

Makes the equation undefined

help plz geometry !!!!​

Answers

Answer:

27 ) x = 15°,

28 ) x = 18°

Step-by-step explanation:

27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;

85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

85 + ( 6x + 5 ) = 180 ⇒ take out ( ),

85 + 6x + 5 = 180 ⇒ combine like terms,

90 + 6x = 180 ⇒ subtract 90 from either side of equation,

6x = 90 ⇒ divide 6 on either side of equation,

Solution; x = 15°

28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;

110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

110 + ( 3x + 16 ) = 180 ⇒ take out ( ),

110 + 3x + 16 = 180 ⇒ combine like terms,

126 + 3x = 180 ⇒ subtract 126 from either side of equation,

3x = 54 ⇒ divide 6 on either side of equation,

Solution; x = 18°

4a + 2 < 2- 4a helpppp ppppp

Answers

Answer:

a ≤0  but without the line

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!
What is the volume of the following rectangular prism?

Answers

Answer:

44/3

Step-by-step explanation:

The formula of volume of any prism is Bh

B=Area of the base

h=height

So just multiply them together:

So as a mixed fraction you get 14 2/3

Improper fraction: 44/3

Hope this helps!  

What is the solution to the equation x + 4.7 = 6.3?
a. x = 11.0
b. x = 6.3
c. x = 2.4
d. x = 1.6

Answers

The value of X is 1.6

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 1.6[/tex]

Step-by-step explanation:

[tex]x + 4.7 = 6.3 \\ x = 6.3 - 4.7 \\ x = 1.6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The temperature at dawn is -6°F but by noon it is 22°F. What is the difference in
temperatures?
O -16°F
O-28°F
O 16°F
O 28°F

Answers

Answer: 28 degrees farenheit

Step-by-step explanation: add 22 and 6 for the total of how many degrees -6 is from 22.

If the  temperature at dawn is -6°F but by noon it is 22°F.Then 28°F  is the difference in temperatures

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The temperature at dawn is -6°F

The temperature at dawn in afternoon is 22°F.

We need to find the difference in temperatures.

Difference is nothing but subtracting one number with another number.

Now subtract  -6°F from 22°F.

22°F-(-6°F)

Twenty two degree fahrenheit plus six degree fahrenheit

22°F+6°F

28°F

Hence there is 28°F in temperatures. Option D is correct.

To learn more on Equation:

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Giving away brainliest. Basic question. :)

Answers

Answer:

The area for both shapes = 4

Step-by-step explanation:

Area of triangle 1/2hb

Area of square s^2

triangle: 1/2 *4*2= 4

square: 2^2 =4

Factor the trinomial
5x2+11x+6

Answers

Answer:

factor by grouping

(x-1) (5x-6)

Step-by-step explanation:

correct me if i am wrong

HELP PLZ I NEED HELP QUICK!!!! ILL GIVE U 20 POINTS

Answers

Answer:

B) Z

Step-by-step explanation:

Currently, I am 9 times as old as my son. Next year, I will be 7 times as old as my son. How old is my son now?

Answers

Answer:

3

Step-by-step explanation:

3x9=27

4x7=28

Your son is 3 years old now

Step-by-step explanation:

If you do 9 times 3, you would get 27, and when you do 4 times 7, you would get 28. So, it makes sense since you get 1 year older and you are 9 times as old and then you will be 7 times as old. So, right now, your  son is 3 years old.

Which Graph represents the unction f(x)= -8/5x+8 with its intercepts?

Answers

Answer:

y-intercept is (0,8) and x-intercept is (5,0)

Step-by-step explanation:

PLEASE HELP (picture attached) explain if you can but if not that’s ok:)

Answers

Answer:x=2

Step-by-step explanation:

X=-b/2a

b=-4 a=1 in front of x

X=- - -4/2

X=4/2=2

What is the equivalent decimal of -1\5 and -2\9

Answers

Answer:

1/5=10/50

2/9=20/90

Step-by-step explanation:

1/5 is just a simpler way of saying 10/50 same as 2/9

A prism has a length of 15 inches, height of 5 inches, and width of 4 inches. The formula for volume of a rectangular prism is V = lwh. The length of the prism is in. The width of the prism is in. The height of the prism is in. The volume of the prism is in.3.

Answers

Answer:

it is 300

Step-by-step explanation:

you must multiply 15 by 4 by 4

The volume of the prism is 300 in³.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The length of the prism is 15 inches.

The width of the prism is 4 inches.

The height of the prism is 5 inches.

To find the volume of the prism, we use the formula.

V = l w h

V = (15)(4)(5)

V = 300 cubic inches.

Therefore,

The volume of the prism is 300 in³.

Learn more about Prism here:

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Rectangle floor measures 10 1/8 by 13 3/4 feet. If Mary buys 150 ft.² of carpet, will she have enough carpet to cover the floor?
Show Work Please Due Today

Answers

Answer:

YES

Step-by-step explanation:

Calculate the actual floor area:  A = (10 1/8 ft)(13 3/4 ft), or, as decimal fractions,

A = (10.125 ft)(13.75 ft) = 139.22 ft^2

Mary's purchase of 150 ft^2 of carpet is more than enough to cover 139.22 ft^2.  YES, she will have enough carpet.

Factor the algebraic expression 21a + 9

Answers

Answer:

21a + 9

Simplifying

21a + 9

Reorder the terms:

9 + 21a

Factor out the Greatest Common Factor (GCF), '3'.

3(3 + 7a)

Final result:

3(3 + 7a)

HOPE THIS HELP

Answer:

[tex]3(7a+3)[/tex]

Step-by-step explanation:

Find two numbers a and b whose sum a+b is −3, and whose difference a−b is −7.Your answer is

Answers

Answer:

a = -5

b = 2

Step-by-step explanation:

a+b=-3

a-b= -7              +

2a  = -10

a = -10/2

a = -5

a + b = -3

-5 + b = -3

b = -3 + 5

b = 2

rosa pays a monthly membership fee at a gym. She also pays $5 for each cycling class she takes. in May, she took 4 cycling classes and her total cost for the month was $55. in June, Rosas total cost was equal to twice the membership fee. How many cycling classes did she take?

Answers

Answer:

14 classes

Step-by-step explanation:

if she pays $5 per cycling class than in May she payed $20. $55 - $20 = 35. If in June the cost was double the membership fee than 35 x 2 = 70. Than you do 70 / 5 = 14.

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Cathy told her to cut two inches off the bottom.3) Her mom paid the lady, and then, they got some ice cream. Cathy and her mom went to the beauty salon, so Cathy could get her hair cut. First, Cathy got on the big red chair, and the lady asked her how to cut her hair. Cathy told her to cut two inches off the bottom. The lady trimmed Cathys hair carefully. The pieces of hair started to collect under her chair. Finally, Cathys haircut was over. Next, the lady put a big white sheet over Cathys shoulders. She tied it in the back.4) Cathy and her mom went to the beauty salon, so Cathy could get her hair cut. First, Cathy got on the big red chair, and the lady asked her how to cut her hair. Cathy told her to cut two inches off the bottom. Next, the lady put a big white sheet over Cathys shoulders. She tied it in the back. The lady trimmed Cathys hair carefully. The pieces of hair started to collect under her chair. Finally, Cathys haircut was over. 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