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

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

Answers

Answer 1

The value of x for which the perimeter of the rectangle is less than 140 is,

x ≤ 33.

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A rectangular shape with sides x + 4 and x.

And the perimeter of the rectangle is less than 140.

That means,

2(2x + 4) ≤ 140

4x + 8 ≤ 140

4x ≤ 140 -8

4x ≤ 132

x ≤ 33

Therefore, the solution of the inequality is x ≤ 33.

To learn more about the inequality;

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Related Questions


Can I get help on this math problem makes makes no sense

Answers

(2,-1) The intersecting point is the point where the two lines meet.

A number n increased by 4 is -19

Answers

Answer:

n=23

Step-by-step explanation:

4-23=19

meme

Answer:

-23

Step-by-step explanation:

-23+4= -19

What is the solution to this inequality?
-9x – 15 < 3
O > -2
O I < 2
Or<-2
O > 2

Answers

Answer:

x>-2

Step-by-step explanation:

-9x-15<3

•Move the constant to the right

9x<3+15

•calculate

-9x<18

•Divide both sides

James purchases tickets for the New York Knicks. He gives seven tickets to his colleagues. If James is left with 8 tickets, how many tickets did he purchase?

Answers

Answer:

He purchased 15 tickets.

Step-by-step explanation:

First you gather your important information/ numbers

-7

-8

- how many tickets did he purchase?(+)

Then you create your equation and solve

7+8=15

9e + 4=-5e + 14 + 13e

Answers

Answer:

e= -10/9

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.

Which expression is equivalent to 4(9 + 7)?

Answers:
A. 36 + 7
B. 13 + 11
C. 36 + 28
D. 13 + 7

Will mark brainliest!!

Answers

the answer for this is C

Answer:

c 36+28

Step-by-step explanation:

the answer is c 36 + 28

help please!! (math)

Answers

Answer:

It's gonna be C and good luck!

the answer is C lovely

You travel 36 miles north and then 15 miles east. How far are you from your starting point?

Answers

Answer:

21 is the correct answer because

Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quantities? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24​

Answers

Answer:

pens

Step-by-step explanation:

encuentra el MCM de 12 y 24

Answers

【Rep.】The least common multiple of 12 and 24 is 24.

                             [tex]\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}[/tex]

To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

   [tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 24}\\ \ 6 \ \ \ 12\\ \ 3 \ \ \ \ 6\\ \ 3 \ \ \ \ 3\\ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ \: \end{matrix} \end{gathered}$}[/tex]

                                 [tex]\sf{L.c.m.(12,24)=2\times2\times2\times3}[/tex]

                                       [tex]\sf{L.c.m.(12,24)=2^{3}\times3 }[/tex]

                                       [tex]\boxed{\boxed{\sf{L.c.m.(12,24)=24}}}[/tex]

{ Pisces04 }

2-(3x+5)=5-2x

i have too answers but need the right one lol​

Answers

Answer:

x = -8

Step-by-step explanation:

2 - (3x + 5) = 5 - 2x

Subtract 2 from each side.

-(3x + 5) = 3 - 2x

Apply the negative sign in front of the parentheses.

-3x - 5 = 3 - 2x

Add 5 to both sides.

-3x = 8 - 2x

Add 2x to both sides.

-x = 8

We can't have a negative x value, so we'll need to multiply each side by -1.

x = -8

Hopefully, this helped and wasn't too confusing!

Answer:

Solution given;

2-(3x+5)=5-2x

2-3x-5=5-2x

-3-5=3x-2x

x=-8 is your answer

A driver was going more then 15 miles per hour over the speed limit when he received a speeding ticket. If the driver's speed was 75 miles per hour, what was the speed limit, m, on the road where he was driving.

I need help with this ASAP!

Answers

Answer:

60

Step-by-step explanation:

You just subtract 75 - 15, and you get 60. I hope this helps :)


Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.

Answers

Answer:

m = 7

Step-by-step explanation:

21 = m + 14

21 - 14 = m

m = 7

What is the slope of the line below asap plzzzzzzzzzzzzzzzzzzzzz quick

Answers

Answer:

w of king akinf arro

Step-by-step explanation:

Remember to do run (x) then jump (y).


This is where you find two parts of the line that hit a corner and find the x and y for them.


The question already tells us this. Remember that the x always goes first and that if the line is going down (left to right), the slope is a negative.


Answer: -2/3


Answer:

Which is the graph of y = 3sqrt/X+1 - 2?

Answers

Look at the graph i sent you.

Graph of : y = 3sqrt(x+1) - 2

Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.

Answers

Answer:

32.6193819

Step-by-step explanation:

calulater never lies XD

Answer:

The answer should be: x=2,-12

which on your answer should backwards: {-12,2}

Step-by-step explanation:

102 = 1.2 x w
what is w?

Answers

Answer:

122.4

Step-by-step explanation:

Just Divide.

Answer:

85

Step-by-step explanation:

1x2 x 85 = 102

Write an equation in slope intercept form (y=max+b) for the line passing through the points. Show your algebraic solving steps.

(-2, -1) and (2,3)

Answers

Find the gradient first

m = (y2-y1)/(x2-x1) = 3-(-1)/2 - (-2) = 4/4 = 1

then find the equation of the... slope ._.

y - y1 = m(x - x1)

y - (-2) = 1(x - 3)

y + 2 = x - 3

y =x -3 - 2

y = x - 5

So the equation is y = x - 5

what is the degree of the following polynomial 2x^3

Answers

Answer:

3

Step-by-step explanation:

Whatever the highest exponent is determines the degree.

Mario is 4 feet 9 inches tall. What is his approximate height in centimeters? (1 in. ≈ 2.54 cm)

Answers

Answer:

144.78cm

Step-by-step explanation:

4ft 9in is 57 inches

so 57x2.54 is 144.78

Answer:

Mario is 12.446 cm

Step-by-step explanation:

How can you find the length of an arc

Answers

Start by dividing the arcs central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 x pi to find the arc length.

Camille's birthday party will cost $32 if she invites 16 guests. How many guests can there be, at most, if Camille can afford to spend a total of $48 on her birthday party? Assume the relationship is directly proportional.

Answers

Answer:

I think its gon be 24 guests

Answer:

24 people can be there at most :)

Step-by-step explanation:

$32 divided by 16(guests) is $2

so its $2 per person

so 48$ divided by $2 is 24

So Camille can invite 24 people at the cost of 48$ being her total at most :)

7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?​

Answers

Answer:

slope =[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]

Thus, the slope is [tex]-\frac{2}{3}[/tex].

Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X

Answers

Answer:

x = 36

Step-by-step explanation:

Length of a rectangle, x+7

Width = 3

Area of the rectangle, A = 129 units²

The area of a rectangle is given by :

A = lb

So,

[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]

So, the value of x is equal to 36.

Help with this pleaseeeeee!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

V=Base area*height

V=((5*8)/2)*3

V=(40/2)*3

V=20*3

V=60

there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and does not replace it. he then takes another counter at random from the bag. the probability Ross takes two blue counters is 1/3. find the value of n​

Answers

Answer: n = 10.

Step-by-step explanation:

In the bag, we have n counters.

4 of the counters are red.

the rest are blue, then we have:

(n - 4) blue counters.

Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n

Then the probability is:

p1 = (n - 4)/n

Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)

The probability of this event is:

p2 = (n - 5)/(n - 1)

The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:

1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))

Now let's solve this for n.

n*(n - 1)/3 = (n - 4)*(n - 5)

(n^2 - n)/3 = n^2 - 4*n - 5*n + 20

n^2 - n = 3*(n^2 - 9*n + 20)

n^2 - n = 3*n^2 - 27*n + 60

0 = (3*n^2 - n^2) - 27*n + n + 60

0 = 2*n^2 - 26*n + 60

The two solutions of this equation can be found with Bhaskara's equation:

[tex]n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}[/tex]

Then the two solutions are:

n = (26 - 14)/4 = 3

This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.

The other solution is:

n = (26 + 14)/4 = 40/4 = 10

Then we have n = 10, 10 counters in total.

NEED HELP ASAP
A quarterback’s pass-completion percentage is 70%. Eight of his passes are randomly selected. What is the probability that 6 of them were successful passes?

0.06
0.08
0.12
0.30

Answers

Answer:0.08

The answer is b i always got your back

Step-by-step explanation:

Answer:

.30

Step-by-step explanation:

Evaluate the algebraic expression x^2 - 20 for x = 7 and for x = 9

Answers

Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

Please Help. Im stuck on this question and i cant figure it out

Answers

Answer:

Where is it?

Step-by-step explanation:

Where is the question exactly?

MATH HELP!! ASAP!!! MARKING BRIAINLIEST!!

Answers

Answer:

18 meters.

Step-by-step explanation:

The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.

(hope this helps :P)

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