A square in a rectangle have the same perimeter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x

Answers

Answer 1

The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Step-by-step explanation:

The given is,

                A square in a rectangle have the same perimeter

                The length of a side of the square is 4x-1

                The length of the rectangle is 2x+2 and width is 2x

Step:1

                Let, a - Side of square

                        l - Length of the rectangle

                       w - Width of the rectangle

Step:2

                Formula for perimeter of square is,

                                    [tex]p=4a[/tex].............................(1)

                Formula for perimeter of rectangle is,

                                   [tex]p=2(l+w)[/tex]....................(2)

Step:3

                From given,

                            Equation (1) = Equation (2)

                                 [tex]4a = 2 (l+w)[/tex]

               where,

                         a = 4x-1

                          l = 2x+2

                         w = 2x

               Substitute the values,

                       4 ( 4x-1 ) = 2 ( 2x+2+2x )

                            16x - 4 = 2 (4x + 2)

                            16x - 4 = 8x + 4

                          16x - 8x = 8                      

                                   8x = 8

                                     x = 1

Step:4

         Substitute the values of x,

                   a = 4(1)-1 = 3

                     l = 2(1)+2) = 4

                   w = 2(1) = 2

          Perimeter of square and rectangle is 12 units

Result:

           The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.


Related Questions

USA scientific notation to express the diameter of a red blood cell that measures 0.00075 centimeters

Answers

Answer: 7.5×10^-4

Step-by-step explanation:

0.00075

Scientific notation means standard form

There are 3 zeros in front of the 7

So take the decimal to the back of 7

You have

7.5

Since you are counting backward, it will be negative

So we have

7.5×10^-4

Answer:

[tex]7.5 * 10^{-4}[/tex]

Step-by-step explanation:

Scientific notation is basically taking a decimal number and writing it as the product of a number between 1 and 10 (including 1 but excluding 10) and a power of 10.

Here, to get a number between 1 and 10, we see that 7.5 could work. However, if we have 7.5, we're disregarding all the zeros that came before it, which can't work. So, we need to take those into account by dividing 7.5 by 10000, which is the same as multiplying 7.5 by [tex]10^{-4}[/tex].

Thus, our final answer is the scientific notation: [tex]7.5 * 10^{-4}[/tex].

The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? A. It must have only two factors. B. It must have fewer than three factors.C. It must have exactly three factors.D. It must have more than three factors.

Answers

Answer:

Step-by-step explanation:

⇒49=7×7 =1 × 49

Factors of 49 = 1,7,49

⇒It is given that ,98 is a Multiple of 49.

98 = 49 × 2

So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.

→Factors of 98 are =1,2,7,49,98

23. Ed has 42 red beads and 28
blue beads. He uses an equal number
of all the beads to decorate 7 clay
sculptures. How many beads are on
each sculpture?

Answers

Answer:

42 ÷ 7 = 6 red beads

28 ÷ 7 = 4 blue beads

There are 6 red beads and 4 blue beads in each sculpture.

Hope this helps <3

Answer:

10 beads for each sculpture

Step-by-step explanation:

42 divided by 7 is 6 and 28 divided by 7 is 4

4+6 is 10

so 4 blue beads and 6 red beads each scuptuer

What is the horizontal asymptote of f(x) =-2x/x+1

y=-2
y=-1
y=0
y=1

Answers

Answer:

Y=0

Step-by-step explanation:

Since it is not a rational expression, there are no asymptotes.

Answer:

y= -2

Step-by-step explanation:

just took quiz

please help i will give you brainliest for correct answers and a thank you and the rest of my points

Answers

Answer:

530.7?

Step-by-step explanation:

Answer: 530.7m

Step-by-step explanation:

The formula for the area of a circle is [tex]A=\pi r^2[/tex]

From the picture we can see that the diameter of the circle is 26m

The r, or radius of the circle is just half the diameter, thus the radius is 13m

Now that we have all the values of the variables, we can solve for A

Plug in 3.14 for π and 13 for r and solve

[tex]A=(3.14)(13)^2[/tex]

[tex]A=(3.14)(169)[/tex]

[tex]A=530.66m[/tex]

ANSWER ME PLS BRAINLIEST What is the average number of points scored in the 15 games played?
Question 4 options:


6.8


6


6.7


6.5

Answers

Answer:

the answer is 6

Step-by-step explanation: LOgic

Answer:

6

Step-by-step explanation:

If the number of bacteria in a colony doubles every 45 hours and there is currently a population of 500,000 bacteria, what will the population be 180 hours from now?

Answers

Answer:

8,000,000

Step-by-step explanation:

180 divided by 45 equals 4.

500,000 times 2 equals 1,000,000

1,000,000 times 2 equals 2,000,000

2,000,000 times 2 equals 4,000,000

4,000,000 times 2 equals 8,000,000

what is the value of x in the triangle

Answers

Answer:

x = 17

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

15^2 + x^2 = (sqrt(514))^2

225 + x^2 = 514

Subtract 225 from each side

225-225 + x^2 = 514-225

x^2 =289

Take the square root of each side

sqrt(x^2) = sqrt(289)

x = 17

What the distance between (2,1) and (-5,8)

Answers

Answer:

[tex]\sqrt{98}[/tex] or 9.89949

Step-by-step explanation:

use the distance formula

d=[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1})^{2} }[/tex]

d=[tex]\sqrt{(-5-2)^{2}+(8-1)^{2} }[/tex]

d=[tex]\sqrt{(-7)^{2} +(7)^{2} } \\\\\sqrt{49+49}[/tex]

d=[tex]\sqrt{98}[/tex] or 9.89949

Exact form = 7 √2
Decimal form= 9.899


Solution of systems of equations

Answers

Answer:where is the equation

Step-by-step explanation:

A small rectangular garden has an area of 80 square feet. Its length is 2 feet more than the width. Give both the length and width of the garden.

Answers

Answer:

The answer length is 10 and the width is 8 or the other way around.

Step-by-step explanation: The garden has a area of 80 square feet and since 10 has 2 more than 8 that the answer.

Final answer:

To find the length and width of the garden, set up the equation for the area of a rectangle: width times (width + 2) equals 80. Solving this gives us the width as 8 feet and the length as 10 feet.

Explanation:

The question asks us to find the length and width of a rectangular garden given that its area is 80 square feet and the length is 2 feet more than the width. We can represent the width with the variable w and then express the length as w + 2. To find the dimensions, we write the equation for the area of a rectangle (length × width):

w × (w + 2) = 80

Solving this quadratic equation gives:

w² + 2w - 80 = 0

Factoring the quadratic equation gives:

(w + 10) × (w - 8) = 0

Therefore, the width w could be 8 or -10. Since a negative width doesn't make sense for a garden, we take w = 8 feet as the width. Consequently, the length is w + 2 = 10 feet.

The dimensions of the garden are 8 feet by 10 feet or vice versa.

Which could be the area of one face of the rectangular prism? Select three options.
6 cm
4 cm
11 cm
[Not drawn to scale]
20 cm
24 cm²
44 cm²
48 cm²
68 cm²

Answers

Answer:

44cm^2

Step-by-step explanation:

We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.

We choose the longer length and plug in and choose one of the two calculation answers.

11 x 4 = 44

11 x 6 = 66

We see the answer is 44cm^2, so we choose this one.

Simplify to create an equivalent expression.

−3z−(−z−2)

A) −4z+2
B) −2z−2
C) −2z+2
D) 4z+2

Answers

so the answer is of option C....

Your Answer is C to this questions

What is the solution to –(5k + 6) = 3(12 – k)? A
A -15
C 21
B 15
D-21

Answers

Answer to the equation is:

k = - 21

Value of k is -21

Step-by-step explanation:

Step 1: Find k.

–(5k + 6) = 3(12 – k)

-5k - 6 = 36 - 3k

-2k = 42

k = -42/2 = -21

x = 3y - 2
x= -7y + 8

Answers

Answer:

x = -9.5

y = -2.5

Step-by-step explanation:

to evaluate this linear system of equation, we would say that

let

x = 3y - 2................................................ equation 1

x= -7y + 8.............................................. equation 2

substitute equation 2 into equation 1

3y -2 = 7y + 8

collect the like terms

3y -2 -8= 7y

-10 = 7y -3y

-10 = 4y

divide both sides by 4

-10/4 = 4y/4

-2.5 = y

y = -2.5

put the value value of y into equation 1

x = 3y - 2................................................ equation 1

x = 3(-2.5)  -2

x = -75 - 2

x = -9.5

-

6.72 greater than or less 6.69​

Answers

Answer: 6.72 is greater than 6.69

Step-by-step explanation: 6 and 6 is the same number so we don't have to compare those. And we all know, 72 is always greater than 69 and there is your answer 6.72. Hope you mark me as brainiliest.

Final answer:

6.72 is greater than 6.69.

Explanation:

This question is asking whether 6.72 is greater than or less than 6.69.

When comparing decimal numbers, from left to right, the first digit in 6.72 is 6 and the first digit in 6.69 is also 6.

Since they are the same, move to the next digit.

The second digit in 6.72 is 7 whereas it is 6 in 6.69.

Since 7 is greater than 6, we can therefore conclude that 6.72 is greater than 6.69.

Learn more about Comparing Decimals here:

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Keith earns $41.00 in 2 hours. How much would he make in 9 hours?

Answers

Answer:

184.5

Step-by-step explanation:

41.00/2 = 20.50 per hour

now do 20.50 times 9 since its 9 hours needed to be found.

20.50 x 9 = 184.5

Answer:

19350

Step-by-step explanation:

To find the answer first find what is half of 41 that is 2050 then do 9 times 2050 equals 19350

which expression is equivalent 3/4(3x-5)

Answers

Which expression is equivalent to 1/2 (2+ 3x – 6)?

3x - 5
3/2x - 5
3x – 4
3/2x - 2
The Answer Is B

Answer:

The question is incomplete.

Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.

A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.

Which expression represents the volume of air she will need to inflate the octahedron?

A. 23a2b2
B. 23ab2
C. 23−a2b
D. 23a2b

Answers

Answer:a negative equals a positive so I do believe the answer would be c

Step-by-step explanation: and also the girls who is fine said it.

The volume inside will be 2/3a²b.

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.

The volume of octahedron will be the sum of volumes of both the pyramid.

Volume of pyramid = base area*h/3

Volume = a²b/3+a²b/3 = 2/3a²b

Hence, The volume inside will be 2/3a²b.

For more references on volumes, click;

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If the base of a prism has an area of 24 m2
and the prism has a height of 7 m, what is the volume
of the prism?
A. 168 m3
B. 31 m3
C. 1176 m3
D. Not enough information.
help please

Answers

A. 168 m3

Step-by-step explanation:

V = Bh

V = 24(7)

V = 168 m3

Answer:

i really dont know bro

Step-by-step explanation:

Sample response: Start by calculating the volume of the original prism. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 = 1/8. The volume increases by 8 times the original volume.

Estimate the following difference by replacing each fraction with 0, 1/2 or 1
7/8 - 6/11

Answers

Final answer:

To estimate the difference 7/8 - 6/11, replace each fraction with 1 or 1/2 based on their proximity to 1 or 1/2. The estimated difference is 1/2.

Explanation:

To estimate the difference 7/8 - 6/11, we need to replace each fraction with either 0, 1/2, or 1. Let's find the estimate for each fraction:

7/8 is closer to 1 because the numerator is close to the denominator. So, we replace it with 1.

6/11 is closer to 1/2 because the numerator is half of the denominator. So, we replace it with 1/2.

Now, we can subtract the estimated values: 1 - 1/2 = 1/2.

Therefore, the estimated difference is 1/2.

Learn more about Estimating the difference of fractions here:

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At 4:00 A.M, the outside temperature was -23*F, by 4:00 P.M that same day it rose 33 degrees what was the temperature at 4:00 P.M

Answers

Answer: (10° F)


Explanation: -23 + 33 = 10

Answer: At 4 pm it would be 10 degrees

Step-by-step explanation: Take the -23 and add the 33 degrees since the temp rose (gets warmer) instead of drops (colder). -23+33=10

for which of the following conditions will the sum of integers m and n always be an odd number?

F. m is an odd integer
G. n is an odd integer
H. m and n are both odd integers
J. m and n are both even integers
K. m is an odd integer and n is an even integer​

Answers

Answer:

Option K

m is an odd integer and n is an even integer​

Step-by-step explanation:

The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of +1 at the end shows the number is not divisible by 2 hence an odd number.

Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.

Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.

Even numbers can be divided by 2 without leaving a remainder, while odd numbers can't.

The true condition is condition K: m is an odd integer and n is an even integer​

If m is odd and n is odd, then the sum will be even

This means that: Conditions F, G and H cannot be true

As an illustration, we have:

[tex]m + n= 5+ 7[/tex]

[tex]m + n= 12[/tex]

12 is even.

The result will always be even, provided that m and n are odd numbers.

If m is even and n is even, then the sum will be even

This means that: Conditions J cannot be true

As an illustration, we have:

[tex]m + n = 6 + 8[/tex]

[tex]m + n =14[/tex]

14 is even.

The result will always be even, provided that m and n are even numbers.

If m is odd and n is even, then the sum will be odd

This means that: Conditions K is true

As an illustration, we have:

[tex]m + n = 6 + 7[/tex]

[tex]m + n = 13[/tex]

13 is odd.

The result will always be odd, provided that m is odd while, n is even.

Hence: the true condition is:

K. m is an odd integer and n is an even integer​

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Pick the expression that matches this description??

Answers

Correct answer is cccccccccccccccc

Susan is going to build a large wooden storage box. The box will be in the shape of a rectangular prism, as shown below. She wants to cover all the sides of the box with special wallpaper that costs 3$ per square foot. How much will the wallpaper cost in total?

Answers

Given:

Length = 5 ft

Width = 2 ft

Height = 5 ft

To find:

The cost of total wallpaper.

Solution:

Total surface area = 2(lw + wh + lh)

                               = 2(5 × 2 + 2 × 5 + 5 × 5)

                               = 2(10 + 10 + 25)

                               = 2(45)

Total surface area = 90 ft²

Cost of wallpaper per square foot = $3

Cost of wallpaper for 90 square feet = 3 × 90

                                                             = $270

Therefore total cost of wallpaper is $270.

Answer:

270

Step-by-step explanation:

just did it on aleks

ASAP PLZ (there will be more) thank u for answering Btw:)

Answers

The answer = 88 square units.


Explanation: In this particular shape, u would have to break up the parallelogram into smaller shapes. Break the pieces into two equal triangles and one square. For the formula of a triangle, it is A = 1/2bh. A trick that u can do is to just find the formula of one triangle and then you won’t have to multiply 1/2 to each. For the triangle, the base is 3 and the height is 8. If u multiply that, u get 24. Now, the formula of the square is simple. A = bh. The base of the square is 8, and the height is also 8. So if u multiply that, u get 64. The final step is to add both of the areas of the individual shapes. 64 + 24. If u add those two together, u would get 88. So that means that the area of the parallelogram = 88 square units :)

Hope this helped!

Un niño quiere medir una caja de zapatos
con una cinta métrica cuyas unidades
apenas pueden leerse. El niño concluye
que la base de la caja mide 6 x 9.
¿Cuál es la estimación MÁS razonable del
área de la base de la caja?​

Answers

Answer: OPTION D.

Step-by-step explanation:

The missing options are: [tex]A. 15 ft^2\\ B. 15\ in^2\\C. 54\ ft^2\\ D. 54\ in^2[/tex]

By definition, the area of a rectangle can be calculated applying the formula shown below:

[tex]A=lw[/tex]

Where "l" is the length of the rectangle and "w" is the width of the rectangle.

In this case, according to the information given  in the exercise, the kid concludes that the dimensions of the shoes box are the following:

[tex]l=9\ units\\\\w=6\ units[/tex]

Then, substituting values into the formula, you get that the area is:

[tex]A=(9\ units)(6\ units)\\\\A=54\ units^2[/tex]

You need to identify which unit corresponds to this area. It must be Option C or Option D.

 Since [tex]54\ ft^2[/tex] is too big for a shoes box, you can conclude the correct one is the area given in the Option D.

Therefore, you get that thea area is:

[tex]A=54\ in^2[/tex]

Ten feet below sea level is farther below sea level than 2 and a half feet below sea level

Answers

Answer:

correct

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

cuz 10 is bgger than 2.5

5 cm

What is measure of angle A?

3 cm

Enter your answer as a decimal in the box.

Round only your final answer to the nearest

hundredth

4 cm

Answers

Answer:

The graph is missing, so there are two options m∠A = 36.87° or m∠A = 53.13°

Step-by-step explanation:

Assuming that 3 cm, 4 cm and 5 cm are the length of the sides of a triangle, then a right triangle is formed, in which 5 cm is the length of the hypotenuse and 3 cm and 4 cm are the length of the legs.

Angle A is either the angle between 4 cm and 5 cm sides or between 3 cm and 5 cm sides. For the first case:

cos(A) = adjacent/hypotenuse =

cos(A) = 4/5

A = arccos(4/5) = 36.87°

For the second case:

cos(A) = 3/5

A = arccos(3/5) = 53.13°

The measure of angle [tex]\( A \)[/tex] is approximately [tex]\( 53.13^\circ \)[/tex].

Given a right triangle [tex]\( \triangle ABC \)[/tex] with the following side lengths:

[tex]\( AB = 3 \) cm[/tex]

[tex]\( BC = 4 \) cm[/tex]

[tex]\( AC = 5 \) cm[/tex]

We need to find the measure of angle [tex]\( A \)[/tex].

Since [tex]\( \triangle ABC \)[/tex] is a right triangle, and the side lengths 3, 4, and 5 satisfy the Pythagorean theorem [tex](\( 3^2 + 4^2 = 5^2 \))[/tex], we can proceed to use trigonometric ratios to find the measure of angle [tex]\( A \)[/tex].

Using Trigonometric Ratios

The trigonometric function tangent is often used in right triangles. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.

For angle [tex]\( A \)[/tex]:

[tex]\[\tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{BC}{AB} = \frac{4}{3}\][/tex]

To find the measure of angle [tex]\( A \)[/tex], we use the arctangent (inverse tangent) function:

[tex]\[A = \tan^{-1}\left(\frac{4}{3}\right)\][/tex]

[tex]\[A \approx \tan^{-1}(1.3333) \approx 53.13^\circ\][/tex].

The complete question is:

What is measure of angle A?

In a system of linear equations in two​ variables, if the graphs of the equation are the​ same, the equations are ______ equations.

A. Dependent
B. Extraneous
C. Independent
D. Inconsistent

Answers

Answer:

A

Step-by-step explanation:

A system of linear equations can have two or more equations.

The true option is (A) Dependent

When a system of linear equations, then the solutions of the system would be:

[tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]

Where x and y are the variables, and n represents any number

When the solution of a system of equations is any of [tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]

Then, the system of equations is dependent

Hence, the true option is (A) Dependent

Read more about system of linear equations at:

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You are going through a patients medical record to find information on a specific lab report, and you notice that several chart notes are not dated. What should you do? The average distance between molecules always increases during which of the following phase changes?A. gas to solidB. liquid to gasC. gas to liquidD. liquid to solid The device whose operation closely matches the way the clamp-on ammeter works istheSelect one:O a. capacitor0 b. transformerC. split-phase motord. circuit breakerNext page 7. What kind of behavior would be most typical of someone who isintrospective? Acompound sentence containsA)two or more dependent clauses.B)two or more independent clauses.C)two dependent clauses and one independent clause.D)two independent clauses and one dependent clause. Amelia runs a catering business. Based on her records, herweekly profit can be approximated by P = 2x2 - 44x 150,where x is the number of meals she caters and P is her profit.When P is negative, Amelia has lost money.1) What is the least number of meals Amelia needs to caterin order to begin making a profit?2) If she caters no meals one week, how much money doesshe lose?3) What is her profit for catering 50 meals? BRAINLIEST IS WAITINGGGGG1. What are some places that hire fine artists? Please list at least three different places.2. What are some typical job responsibilities for an art curator? Please list at least two.3. What are three different ways that artists are paid?4. Please list three specific places where an art teacher may work.6. Please answer each of the following questions in complete sentences.7. What do you think is the most interesting career within the field of 2D art? Why?8. When is paying a commission the customary way to pay?9. What are the benefits of working as an art intern?10.Why is becoming an art teacher a great career for an art lover?11. How do artists use the Principles of Design in advertisement careers? I need help with this I've been trying to solve it for over half an hour. What is the domain of g(x)?The graph of f(x) = 6(0.25) and its reflection across the y-axis, g(x), are shown.CONDall real numbersall real numbers less than 0all real numbers greater than 0all real numbers greater than or equal to 0g(x)A+1 +f(x)54 3211 2345 x Equivalent Units of Materials Cost The Rolling Department of Kraus Steel Company had 3,400 tons in beginning work in process inventory (80% complete) on October 1. During October, 55,900 tons were completed. The ending work in process inventory on October 31 was 2,800 tons (50% complete). What are the total equivalent units for direct materials for October if materials are added at the beginning of the process? Hurry. A catapult launches a pumpkin with an upward velocity of 150 ft./s.The height of the pumpkin, h, in feet after t seconds is given by thefunction h = -16t2 + 150t + 20. How long does it take thepumpkin to reach its maximum height? What is the pumpkin'smaximum height? Round to the nearest hundredth, if necessary. If the volume of a cube is 64 in3, how long is each side?asap 14 ptsmore coming soon! If the mean of the data set is 4 bubbles, find the number of bubbles Hannah blew. khan academy