Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 140.

Select the correct answer below and fill in the answer box to complete your choice.
PLZ HELP MEEE

Write And Solve An Inequality To Find The Values Of X For Which The Perimeter Of The Rectangle Is Less

Answers

Answer 1

Given:

Length of the rectangle = [tex]x+4[/tex]

Width of the rectangle = [tex]x[/tex]

The perimeter of the rectangle is less than 140.

To find:

The inequality for the given situation and solve it.

Solution:

We have,

[tex]l=x+4[/tex]

[tex]w=x[/tex]

We know that, the perimeter of a rectangle is

[tex]P=2(l+w)[/tex]

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

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

[tex]P=4x+8[/tex]

It is given that the perimeter of the rectangle is less than 140.

[tex]P<140[/tex]

[tex]4x+8<140[/tex]

[tex]4x<140-8[/tex]

[tex]4x<132[/tex]

Divide both sides by 4.

[tex]x<\dfrac{132}{4}[/tex]

[tex]x<33[/tex]

Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is [tex]x<33[/tex].


Related Questions

If I have a meal that cost 6.14 and I have $8 how much change do I get

Answers

Answer:

8-6.14= 1.86

That's what you get

Answer:

you would get $1.86 back

-1/3+1/2 simplified??

Answers

Answer:

1/6

Step-by-step explanation:

Select all values that would make the following inequality true: x ≥ -10

-10

-14

-2

0

Answers

Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.

Jason bought 3 shirts for $24.99 each . How much did he spend on shirts

Answers

Answer:

he spent $8.33 on each shirt

Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect

Answers

Answer:

18 Non Foreign Stamps

Step-by-step explanation:

Given data

Total stamps= 150

Foreign Stamps= 88% of the total stamps

Hence the number of foreign stamps is

=88/100*150

=0.88*150

=132 Foreign Stamps

The number of stamps that is Non Foreign Stamps is

=150-132

=18 Non Foreign Stamps

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP

USE THE PIC


10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.

Answers

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

Answers

Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Shalini blusex batting scores were 13144 155 142 167 172 what was his score​

Answers

13144 mr brill this should help

Help plz................ Easy....... ​

Answers

Step-by-step explanation:

120° because opposite angles of parm are equal

120 degrees is the answer

Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?

Answers

Answer:

50 percent

Step-by-step explanation:

Total number of people in this car survey = 1200

Total number of people who they would still buy same car type = 600 (these are the satisfied people)

The percentage = 600/1200 x 100

= 0.5 x 100

= 50 percent

So the percentage of satisfied people who would buy this type of car again is 50%

Please help with this! Please don't get it wrong T0T

Answers

Answer:

45

Step-by-step explanation:

angle E is 115

angle C and B 20 degrees

180 - 135= 45

Estimate the quotient.6.2 ÷ 8

Answers

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

I need help with this math problem ASAP plsssss helppp. The problem is attached below

Answers

Answer:

234.67 in³

Step-by-step explanation:

volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³

volume of half sphere = 523.33/2 = 261.67 in³

volume of cube = LWH = 3³ = 27 in³

261.67 - 27 = 234.67 in³

If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).

Answers

Answer:  -50x^3 - 25x^2 - 110x - 55

Step-by-step explanation: brainliets if its right

Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?

Answers

Answer:

Step-by-step explanation:

Number of laps run by Runner A = x

Number of laps run by Runner B = y

Runner B ran 6 more than twice as many laps as Runner A.

b = 6 + 2a

Together they ran a total of 30 laps.

a + b = 30

Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.

Part B: How many laps did Runner A run?

a + b = 30

b = 6 + 2a

Hence:

a + 6 + 2a = 30

3a = 30 - 6

3a = 27

a = 27/3

a = 9 laps

Part C: How many laps did Runner B run?

a + b = 30

b = 30 -9

b = 21 laps

please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work

Answers

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

What is 1/8 x 5/6 x 4/5 you will need paper.

Answers

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways.


Answers

Answer:

yx

Step-by-step explanation:

The answer is yx

We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

What is "Linear Function" ?

A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.

The initial value is b.

A linear function is a graph with straight lines.

A unit rate exists for all linear functions (b).

here, we have,

given that,

Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.

Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.

Paul's idea has a linear function as its equation.

This leads us to the conclusion that linear functions can be used to represent each of the ideas.

Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

Learn more about Linear Function Visit:

brainly.com/question/15602982

#SPJ3

the answer isn't 8-2root3 btw

Answers

Answer:

1.41226231144

Step-by-step explanation:

Answer:

Step-by-step explanation:

16cos(30)-20sin(60) -8sin(90)

look at the pattern of the numerators Millie, you can remember all of the sin and cos  functions at the special angles now. :)

sin(0) = 0 / 2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex] / 2

sin(60) = [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2   aka  1

now the numerators just count up from 90°

cos(90) = 0 / 2

cos(60) = 1 / 2

cos(45) = [tex]\sqrt{2}[/tex] / 2

cos(30) = [tex]\sqrt{3}[/tex] / 2

cos(0) =  [tex]\sqrt{4}[/tex] / 2   aka  1

see the pattern.. it's pretty easy to memorize, knowing that :)

now let's use the above to plug into the given equation

16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2

8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex]  -8

-2*[tex]\sqrt{3}[/tex]  - 8

this isn't quite the same answer as you got before.. I feel like it's right

Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?

Answers

Answer:

Mark sold 12 cupcakes, meaning Gracie sold 16.

4 threes, and 4 fours.

Mark            Gracie

O O O          O O O O

O O O          O O O O

O O O          O O O O

O O O          O O O O

Answer:

Step-by-step explanation:

m/g=3/4

m=3g/4, now we can express m in terms of g

g=4+m, using m found above in this equation gives you

g=4+(3g)/4

4g=16+3g

g=16, since m=3g/4

m=3(16)/4

m=48/4

m=12

So total cupcakes sold is 12+16=38.

38 cupcakes were sold.

Two heads 35 Two tails 23 One head, One tail 52 What is the theoretical probability that a coin toss results in two heads showing?

Answers

Answer:

[tex]Pr = 0.25[/tex]

Step-by-step explanation:

Given

Two heads ---> 35

Two tails ---> 23

One head, One tail ---> 52

Required

The theoretical probability of 2 heads

When a coin is tossed, the probabilities are:

[tex]P(Head) = 0.5[/tex]

[tex]P(Tail) = 0.5[/tex]

So, the theoretical probability of 2 heads is:

[tex]Pr = P(Head) * P(Head)[/tex]

[tex]Pr = 0.5 *0.5[/tex]

[tex]Pr = 0.25[/tex]

Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment

What is the surface area of the rectangular prism?

36 cm²

108 cm²

72 cm ²


54 cm²

Answers

Answer:

SA = 108cm² (the 2nd option)

Step-by-step explanation:

h = 4

l = 3

w = 6

SA = 2(lw + lh + wh)

SA = 2((3)(6) + (3)(4) + (6)(4))

SA = 2(18 + 12 + 24)

SA = 2(54)

SA = 108cm²

The surface area of the rectangular prism is 108cm².

Calculation of the surface area of the rectangular prism:

Since

height = 4

length = 3

width = 6

So, here the surface area is

SA = 2(lw + lh + wh)

= 2((3)(6) + (3)(4) + (6)(4))

= 2(18 + 12 + 24)

= 2(54)

= 108cm²

hence, The surface area of the rectangular prism is 108cm².

Learn more about area here: https://brainly.com/question/24591736

4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara
work together, they can clean the tank in 6 hours. Write a rational equation that
could be used to determine how long it would take Lara to clean the tank if she
works by herself. You do not have to solve the equation. You may solve the
equation for extra credit.

Answers

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x

Answers

7x-3=6x
x=3
..........

factorize 4x^3 -8x^2- 12x

Answers

Answer:

Step-by-step explanation:

4x³ - 8x² - 12x = 4x ( x² - 2x - 3)

                       = 4x (x² + x - 3x - 3*1)

                       = 4x [ x(x + 1) - 3(x +1)]

                       = 4x [ (x +1) (x - 3)]

                       = 4x  (x + 1)(x-3)

Answer:4x^3 -8x^2- 12x

Taking common4 x

4X(x²-2x-3)

Doing middle term factorization

4x(x²-3x+x-3)

4x(x(x-3)+1(x-3))

4x(x-3)(x+1) is your answer

Step-by-step explanation:

The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it​

Answers

Answer:

100. ~113

x ~ 5763(assume that X is price without VAT)

100×5763=113×x

X. =(5763×100)/113. (5763/113=51)

X= 51×100

X =5100

VAT=5763-5100

=RS.663

The value added tax amount will be "663".

Given:

Interest rate,

13%

Object price,

5763

The value added tax will be:

→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]

→       [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]

                 [tex]= 663[/tex]

Thus the approach above is right.  

Learn more about tax amount here:

https://brainly.com/question/22910752

4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?

Answers

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

What is the area of triangle ABC

Answers

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²

please anyone know anything abt geometry i really need it

Answers

Answer:

8,14,9 = yes

8 + 14 > 9 ✅

17,4,13 = yes

17 + 4 > 13 ✅

9,9,9 = yes

9 + 9 > 9 ✅

22,23,60 =  no

22 + 23 > 60 ❌

PLEASE HELP!!! DISTRIBUTIVE PROPERTY

Answers

6(2x+4)=12
|
Multiply 6 with numbers in the parenthesis
|
12x +24=12
|
Subtract 24 to both sides
|
12x = 12
|
Divide 12 with both sides
|
Answer x=1
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