The length of a rectangle is 6 inches. The width is 3w inches. What is the expression for the perimeter of the rectangle?

Answers

Answer 1

Answer:

Perimeter = (6w + 12)inches

Step-by-step explanation:

The perimeter of a rectangle is:

p = 2(length+width)

p = 2(6 + 3w)

p = 2*6 + 2*3w

p = 12 +  6w


Related Questions


[tex]5(m - 1) = - 25[/tex]
can u help me solve it?​

Answers

Answer:

-4.

Step-by-step explanation:

5(m - 1) = -25

m - 1 = -5

m = -4.

Answer:

m = -4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

m = -4

Can anyone explain to me why I got this wrong

Answers

Answer:

I think your suppose to multiply the lengths together then you multiply the width together and the add those two

Step-by-step explanation:

srry if i am wrong lol

Solve for x: 5x +1(3x + 6) > 14

Answers

Answer:

5x+3x+6>14

8x>14-6

8x>8

divide both sides by 8

x>1

Is the expression 2 • 4x equal to the expression 8x?

Answers

Answer:

YES

Step-by-step explanation:

[tex]2 . 4x =\\2 \times 4x\\\mathrm{Multiply\:the\:numbers:}\:2\times \:4=8\\\\= 8x[/tex]

I think the answer is yes

which is not a rational ​

Answers

Answer:B

Step-by-step explanation:

Can I write (3x-1)(3x+1) as (x-1/3)(x+1/3)?

Answers

Answer:

yes

Step-by-step explanation:

[tex](3x-1)(3x+1)=9x^{2}-1[/tex] [tex]=\frac{9x^{2} }{9}-\frac{1}{9}=[/tex] [tex]x^{2} -\frac{1}{9}[/tex]

[tex](x-1/3)(x+1/3)=x^{2} -\frac{1}{9}[/tex]

What is the value of a if (2a+3)−(4a−8)=7?

Answers

Answer:

Step-by-step explanation:

2a + 3 - 4a + 8 = 7

-2a + 11 = 7

-2a = -4

a = 2

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(2a + 3) - (4a - 8) = 7}[/tex]

When there is a ( - ) in front of an expression in parentheses , change the sign of sign of each term in the expression

[tex] \longrightarrow{ \sf{2a + 3 - 4a + 8 = 7}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a + 3 + 8 = 7}}[/tex]

Add the numbers: 3 and 8

[tex] \longrightarrow{ \sf{ - 2a + 11 = 7}}[/tex]

Move 11 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 7 - 11}}[/tex]

Subtract 11 from 7

[tex] \longrightarrow{ \sf{ - 2a = - 4}}[/tex]

Divide both sides by -2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{ - 4}{ - 2} }}[/tex]

Calculate

[tex] \longrightarrow{ \sf{a = 2}}[/tex]

Hope I helped!

Best regards! :D

Explain why it might be easier to solve the multiplication problem by changing it from this: 5×87×2, to this: 5×2×87. Use a property of multiplication to justify your reasoning.

Answers

Answer:

It makes the calculation easy and quick.

Step-by-step explanation:

Commutative Property of multiplicationThe product of two or more real numbers is not affected by the order in which they are being multiplied. In other words, real numbers can be multiplied in any order because the product remains the same.

When you multiply as it is given:

5×87×2=870Step 1)  5×87 = 435Step 2) 435×2 = 870

Using the commutative property makes it much easier:

5×2×87 = 870Step 1) 5×2 = 10Step 2) 10* 87 = 870

Answer:

see below.

Step-by-step explanation:

its a commutative property of multiplication.

it doesn't matter in order or not... the result will always be the same.

form your example 5×87×2, if you use a calculator it doesn't matter which number you start.

say 2 x 87 x 5 = 870

or 87 x 5 x 2 = 870

or 5 x 2 x 87 = 870

see the results are all the same no matter which way you go.

please answer ASAP ......

Answers

10 cm same length as UT

Which are examples of unit rates? Check all that apply.
100 students for every 2 buses
1 teacher per 25 students
4 pencils for each student
8 students per team

Answers

Answer: 8 students per team and 4 pencils each student

Step-by-step explanation:

Answer:

Both C and D

Step-by-step explanation:

Which option best completes the following statement?
As a unit of account, money provides a way to determine and compare
OA) money over time.
B) apples.
O C) value.
OD) people.

Answers

Answer: C) Value

Apples and people don't make much sense as an answer here, so we can rule out B and D. Choice A can be ruled out as it seems redundant to say "money compares money over time". It makes more sense to say "Money compares value (over time)".

Yesterday at 4pmn, I was 95 degrees outside. Every hour after that, the temperature dropped 3 degrees. What was the temperature at 8pm

Answers

Answer:

83 degress

Step-by-step explanation:

We know that every hour it dropped 8 degress. If it dropped from 4pm to 8pm, that means it dropped 4 times. 3x4=12 so we do 95-12 which equals 83.

How can you determine what type of solution an equation has when solving? Explain.

Answers

Answer: Answer is in the steps

Step-by-step explanation:

If the system of equations have the same slope and same y-intercepts then it means that they have infinitely many solutions.

if the system of equations have the same slope but different y-intercepts it means that they have no solution because they will never intersect but will always form parallel lines.

If the system of equations have different slopes and different y-intercepts or have same y-intercepts and different slopes it means that they have exactly on solution.

X(4)-20=72 what is the missing number

Answers

Answer:

23

Step-by-step explanation:

(4 x 23) -20 = 72

What is rhe price of the computer be after the mark down?​

Answers

Answer:

C.$150

Step-by-step explanation:

The sales man told her that he would sell it to he for ⅓ of the marked price.

Given:

Marked Price= $450

Required:

of the marked price or $450

Formula:

*$450

Solution:

⅓ of $450

⅓*$450

$450/3

$150

Hope this help ;) ❤❤❤

Answer:

A.180

Step-by-step explanation:

Let x, y, z be numbers. (x2 yz4)3 =​

Answers

I’m not sure I think it ended up being x2yz4

Given segment XZ and point Y that lies on XZ find XZ if XY = 7 and YZ = 17

Answers

Answer:

24

Step-by-step explanation:

We are given segment XZ and point Y. First, draw a number line. Draw X and Z on either side of the number line. We know that Y is between X and Z since there are the distances of XY and YZ. To find XZ, add the distance of XY and YZ, which are respectively 7 and 17. Adding 7 and 17, we get 24 as the answer.

The value of XZ is 24.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment XZ, where the length of line segment XZ refers to the distance between its endpoints, X and Z.

Given that a line segment XZ and point Y that lies on XZ

XY = 7 and YZ = 17

Here XZ = XY + YZ

X_____________Y_______________Z

⇒ XZ = XY + YZ

Substitute the values of  XY = 7 and YZ = 17, we get

⇒ XZ = 7 +  17

Apply the addition operation in the above equation,  

⇒ XZ = 24

Therefore, the value of XZ is 24.

Learn more about the line segment here:

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Help please! Any help is appreciated

Answers

Answer: The answer is (-∞, ∞)

Step-by-step explanation:I hope this helps!

Andrés tiene una cuerda de 120 metros y otra de 96 metros. Desea cortarlas de modo que todos los trozos sean iguales pero lo más largos posible. ¿Cuántos trozos de cuerda obtendrá?

Answers

Answer:

Se obtendrá 9 trozos de cuerda.

Step-by-step explanation:

Para que sea cada trozo de igual extensión, pero lo más posible, se tiene que encontrar el máximo común divisor de 96 y 120 para determinar la longitud máxima del trozo. Se realiza el siguiente procedimiento para determinar el máximo común divisor:

1) Se determina cada número como producto de números primos:

[tex]96 = 2^{5}\times 3[/tex]

[tex]120 = 2^{3}\times 3 \times 5[/tex]

2) Se determina los números primos comunes de cada número y se multiplican entre sí:

[tex]x = 2^{3}\times 3[/tex]

[tex]x = 8\times 3[/tex]

[tex]x = 24\,m[/tex]

Cada trozo debe ser de 24 metros de longitud.

Ahora se determina el número de trozos al dividir la longitud total por el resultado anterior:

[tex]n = \frac{120\,m+96\,m}{24\,m}[/tex]

[tex]n = 9[/tex]

Se obtendrá 9 trozos de cuerda.

Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked​

Answers

Answer:

[tex]6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\[/tex]

[tex]\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}[/tex] (Amount Jona hiked)

Answer:

13 3/4

Step-by-step explanation:

You roll a single die numbered from 1 to 6 twice. The probability of rolling an even number the first time and a 6 the second is the setup. What is the probability "rolling an even number the first time"? (Answer in percentage)

Answers

Answer:

The answer is 50%

Step-by-step explanation:

step one :

first and foremost we are going to list the sample space related to a die

the same space is  S= {1,2,3,4,5,6}= 6

step two:

now the even numbers in the sample space are ={2,4,6}= 3

hence we can solve for the probability of obtaining an even number to be

Pr(even number)= 3/6= 1/2.

step three:

since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage

(1/2)*100= 0.5*100= 50%

If a = 3 and b = 4, then find the value of 2a + 3b A. 15 B. 16 C. 17 D. 18

Answers

Answer:

18

Step-by-step explanation:

2a+3b

2•3+3•4

6+12

18

Answer:

2124+272cd

Step-by-step explanation:

aaron walks 2 1/8 miles to his friends house. then, they walk 5/6 miles to the park .finally, aaron walks 1 3/4 miles to get back home.how far did aaron walk today

Answers

Answer:did you check and see if anybody asked this question before??

Step-by-step explanation:

The total distance did Aaron walk today is 4.70 miles.

It is required to find the total distance.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given :

Aaron walks 2 1/8 miles to his friends.

He walk 5/6 miles to the park.

Again he walks 1 3/4 miles to get back home.

Total distance=

2 1/8 miles+5/6 miles+ 1 3/4 miles

=17/8+5/6+7/4

=4.70 miles

Therefore, the total distance did Aaron walk today is 4.70 miles.

Learn more about distance here:

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Evaluate the following function over the domain {0,1,2,3}. What is the range?

Answers

Answer:Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

range is The zero doesn't matter. You still subtract the lowest number from the highest. If zero is the lowest number, then the highest number is the range. If the set consists of negative numbers, and zero is the highest number, then the lowest number (without its negative sign) is the range.

0

19. Amy has 8 coins worth $1.40. Some of the coins are nickels and some are quarters. How
many of each coin does Amy have?

Answers

Answer:

5 quarters and 3 nickels

Step-by-step explanation:

x = nickels

y = quarters

x + y = 8

x(0.05) + y(0.25) = 1.40

3 + 5 = 8

3(0.05) + 5(0.25) = 1.40

0.15 + 1.25 = 1.40

1.25 + 0.15 = 1.40

Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The graph of f has a vertical asymptote at x=1, and f has a removable discontinuity at x=−2. (a) Show that a=2 and b=−4. (b) Find the value of c. Justify your answer. (c) To make f continuous at x=−2, f(−2) should be defined as what value? Justify your answer. (d) Write an equation for the horizontal asymptote to the graph of f. Show the work that leads to your answer.

Answers

Answer:

a) [tex]a = 2[/tex] and [tex]b = -4[/tex], b) [tex]c = -10[/tex], c) [tex]f(-2) = -\frac{5}{3}[/tex], d) [tex]y = -\frac{5}{2}[/tex].

Step-by-step explanation:

a) After we read the statement carefully, we find that rational-polyomic function has the following characteristics:

1) A root of the polynomial at numerator is -2. (Removable discontinuity)

2) Roots of the polynomial at denominator are 1 and -2, respectively. (Vertical asymptote and removable discontinuity.

We analyze each polynomial by factorization and direct comparison to determine the values of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex].

Denominator

i) [tex](x+2)\cdot (x-1) = 0[/tex] Given

ii) [tex]x^{2} + x-2 = 0[/tex] Factorization

iii) [tex]2\cdot x^{2}+2\cdot x -4 = 0[/tex] Compatibility with multiplication/Cancellative Property/Result

After a quick comparison, we conclude that [tex]a = 2[/tex] and [tex]b = -4[/tex]

b) The numerator is analyzed by applying the same approached of the previous item:

Numerator

i) [tex]c\cdot x - 5\cdot x^{2} = 0[/tex] Given

ii) [tex]x \cdot (c-5\cdot x) = 0[/tex] Distributive Property

iii) [tex](-5\cdot x)\cdot \left(x-\frac{c}{5}\right)=0[/tex] Distributive and Associative Properties/[tex](-a)\cdot b = -a\cdot b[/tex]/Result

As we know, this polynomial has [tex]x = -2[/tex] as one of its roots and therefore, the following identity must be met:

i) [tex]\left(x -\frac{c}{5}\right) = (x+2)[/tex] Given

ii) [tex]\frac{c}{5} = -2[/tex] Compatibility with addition/Modulative property/Existence of additive inverse.

iii) [tex]c = -10[/tex] Definition of division/Existence of multiplicative inverse/Compatibility with multiplication/Modulative property/Result

The value of [tex]c[/tex] is -10.

c) We can rewrite the rational function as:

[tex]f(x) = \frac{(-5\cdot x)\cdot \left(x+2 \right)}{2\cdot (x+2)\cdot (x-1)}[/tex]

After eliminating the removable discontinuity, the function becomes:

[tex]f(x) = -\frac{5}{2}\cdot \left(\frac{x}{x-1}\right)[/tex]

At [tex]x = -2[/tex], we find that [tex]f(-2)[/tex] is:

[tex]f(-2) = -\frac{5}{2}\cdot \left[\frac{(-2)}{(-2)-1} \right][/tex]

[tex]f(-2) = -\frac{5}{3}[/tex]

d) The value of the horizontal asympote is equal to the limit of the rational function tending toward [tex]\pm \infty[/tex]. That is:

[tex]y = \lim_{x \to \pm\infty} \frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x -4}[/tex] Given

[tex]y = \lim_{x \to \infty} \left[\left(\frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x-4}\right)\cdot 1\right][/tex] Modulative Property

[tex]y = \lim_{x \to \infty} \left[\left(\frac{-10\cdot x-5\cdot x^{2}}{2\cdot x^{2}+2\cdot x-4}\right)\cdot \left(\frac{x^{2}}{x^{2}} \right)\right][/tex] Existence of Multiplicative Inverse/Definition of Division

[tex]y = \lim_{x \to \pm \infty} \left(\frac{\frac{-10\cdot x-5\cdot x^{2}}{x^{2}} }{\frac{2\cdot x^{2}+2\cdot x -4}{x^{2}} } \right)[/tex]   [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

[tex]y = \lim_{x \to \pm \infty} \left(\frac{-\frac{10}{x}-5 }{2+\frac{2}{x}-\frac{4}{x^{2}} } \right)[/tex]   [tex]\frac{x}{y} + \frac{z}{y} = \frac{x+z}{y}[/tex]/[tex]x^{m}\cdot x^{n} = x^{m+n}[/tex]

[tex]y = -\frac{5}{2}[/tex] Limit properties/[tex]\lim_{x \to \pm \infty} \frac{1}{x^{n}} = 0[/tex], for [tex]n \geq 1[/tex]

The horizontal asymptote to the graph of f is [tex]y = -\frac{5}{2}[/tex].

Using asymptote concepts, it is found that:

a) Building a quadratic equation with leading coefficient 2 and roots 1 and -2, it is found that a = 2, b = -4.

b) c = -10, since the discontinuity at x = -2 is removable, the numerator is 0 when x = -2.

c) Simplifying the function, it is found that at [tex]x = -2, f(x) = -\frac{5}{3}[/tex].

d) The equation for the horizontal asymptote to the graph of f is [tex]y = -\frac{5}{2}[/tex]

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

Item a:

Vertical asymptote at [tex]x = 1[/tex] and discontinuity at [tex]x = -2[/tex] means that the the roots of the quadratic function at the denominator are [tex]x = 1[/tex] and [tex]x = -2[/tex].The leading coefficient is given as 2, thus, we build the equation to find coefficients a and b.

[tex]2(x - 1)(x - (-2)) = 2(x - 1)(x + 2) = 2(x^2 + x - 2) = 2x^2 + 2x - 4[/tex]

[tex]2x^2 + ax + b = 2x^2 - 2x - 4[/tex]

Thus a = 2, b = -4.

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

Item b:

Removable discontinuity at [tex]x = -2[/tex] means that the numerator when [tex]x = -2[/tex] is 0, thus:

[tex]-2c - 5(-2)^2 = 0[/tex]

[tex]-2c - 20 = 0[/tex]

[tex]2c = -20[/tex]

[tex]c = -\frac{20}{2}[/tex]

[tex]c = -10[/tex]

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

Item c:

With the coefficients, the function is:

[tex]f(x) = \frac{-10x - 5x^2}{2x^2 + 2x - 4} = \frac{-5x(x + 2)}{2(x - 1)(x + 2)} = -\frac{5x}{2(x - 1)}[/tex]

At x = -2:

[tex]-\frac{5(-2)}{2(-2 - 1)} = -\frac{-10}{-6} = -(\frac{5}{3}) = -\frac{5}{3}[/tex]

Thus, simplifying the function, it is found that at [tex]x = -2, f(x) = -\frac{5}{3}[/tex]

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

Item d:

The horizontal asymptote of a function is:

[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]

Thus:

[tex]y = \lim_{x \rightarrow \infty} \frac{-10x - 5x^2}{2x^2 + 2x - 4} = \lim_{x \rightarrow \infty} \frac{-5x^2}{2x^2} = \lim_{x \rightarrow \infty} -\frac{5}{2} = -\frac{5}{2}[/tex]

The equation for the horizontal asymptote to the graph of f is [tex]y = -\frac{5}{2}[/tex]

A similar problem is given at https://brainly.com/question/23535769

The cost for boat rental for 3 days is $254 what would the rental cost be for a week?

Answers

Answer:

it would be about $592.67.

Step-by-step explanation:

1) 254/3 = 84.666666667

2) 84.666666667 * 7 = 592.666667

3) 592.666667 ≈ 592.67

Answer:

5.92.67

Step-by-step explanation:


Which value of x is the solution of the equation (2/3)x+(1/2) =(5/6)

Answers

Answer:

1/2

Step-by-step explanation:

Step 1:

4/6x + 3/6 + 5/6

Step 2:

4/6x = 2/6

Step 3:

2/6 times 6/4

Answer:

1/2

Hope This Helps :)

What is the solution of this equation -4z = 24

Answers

Answer:

z = -6

Step-by-step explanation:

[tex]-4z=24\\\\\frac{-4z=24}{-4}\\\\ \boxed{z=-6}[/tex]

Hope this helps.

A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions

Answers

Answer:

450 x 15 = 6750 ft 2

Step-by-step explanation:

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