Tracy is cutting out a rectangular board to construct a bookshelf.
The board is to have a perimeter of 38 inches, and its length is to be 5 inches shorter than double the width.

Let x be the width of the board.

State the expression for the length of the board in terms of x.

Answers

Answer 1

Answer:

28 inch

Step-by-step explanation:

half of 38 would be 19, and take away 5 from both 19. Equally each width ( top and bottom ) 14 inch and each lenght ( Left and right ) 5 inch. so x representing width would be 14 + 14= 28 inch.

14

5 5

14


Related Questions

27
A student packs 18 tennis balls in 6 cans
containing an equal number of balls.
How many balls are there in each pack?

Answers

Answer:

There are 3 tennis balls in every can

Step-by-step explanation:

18/6 = 3

Paul’s short-term goal is to exercise 3 hours per workout. His long-term
goal is to exercise 33 hours per month. What is the fewest number of
workouts will Paul need to do to meet his long-term goal?

A: 6

B: 11

C: 14
D: 18

Answers

It is B, 11. Just divide 33 by 3 and you will get your answer

In the graph of An inequality, the area above a solid line through the point (-5,2) and (3,2) is shaded. Which inequality does this graph represent?

Answers

The inequality shown by this graph is  y ≥ 2.

Describe inequality.

the relationship between two non-equal expressions using a symbol like "not equal to," ≠ "greater than >," or "less than <  "

The inequality sign : ≥ or ≤ to use is: or because the line is solid and not dotted.

Given that the points have y-coordinate values of 2, (-5, 2), and (3, 2), respectively, and that the line crosses the y-axis at this point, the proper inequality is:

y ≥ 2

Therefore, y ≥  2 is the inequality.

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simplify the expression PLS HELP DUE SOON WILL MARK BRAINLEST UF UU ADD STEPS TOO !!!! ​

Answers

Just multiply 3 to the power of each individual variable or constant in the term
It becomes
125x^18 y^6

Answer:

[tex]125x^{18}y^{6}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(5x^6y^2\right)^3[/tex]

Apply the exponent rule that states that raising a number to a power of 1 yields the original number:  5 = 5¹.

[tex]\implies \left(5^1x^6y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]

[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]

[tex]\implies 5^3x^{18}y^{6}[/tex]

Carry out 5³:

[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 125x^{18}y^{6}[/tex]

Devaugh is 14 years older than Sydney. The sum of there she’s is 98 what is Sydney’s age

Answers

Answer:26

Step-by-step explanation:

For which equation would x= 10 be a solution?
06 x+5=45
3 x-4 = 24
5+6 x = 55
5x-8=42

Answers

Answer:

5x-8=42

Step-by-step explanation:

5x-8=42

   +8  +8

5x=50

50÷5

10

Which numbers are rational?

Answers

The result is -

Rational number: 5/4, -8, 2.35 bar, 19/7, 8, 0Irrational number: πWhat is meant by Rational number?

Rational are numbers which can be written with in form p/q, in which q and p are integers and q≠0. is a negative number.

The distinction among rational numbers as well as fractions is that fractions cannot include a negative denominator or numerator. As a result, the numerator and denominator of the a fraction are all numbers (denominator 0), whereas the numerator and denominator of rational numbers are integers.A rational number, p/q, is considered to be in standard form if its numerator and denominator (p and q) share no common divisor (or factor) other than 1 and its denominator "q" is positive.

For the given number-

π, 5/4, -8, 2.35 bar, 19/7, 8, 0

All numbers except π are rational as they are either ending number or have the bar which means they will repeat after some point.

π is the only number which have the value 3.14........and so o such that, it is nether terminating nor repeating.

Thus, π is the irrational number.

Therefore, rational numbers are- [5/4, -8, 2.35 bar, 19/7, 8, 0]

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Draw a number line showing the whole numbers 16 through 19 and divisions between whole numbers in thirds.

Note: This is class 6 maths so please do it in class 6 way and not in the high school way. I need this answer as soon as possible.​

Answers

I have attached the image.

Jose made this table to show the relationship between his age and his cousin Mario's age.


Jose wants an equation he can use to find his own age (j) given Mario's age (m).

Complete Jose's equation:

y=_____

Thanks so much have a good day!

Answers

The equation that can be used to determine Jose's age given Mario's age is j = [tex]3\frac{1}{3}[/tex]m

What is the equation?

Th relationship between Jose's age and Mario's age can be modelled as a linear equation. A linear equation is an equation that when graphed is a straight line. The straight line can either slope upward or downward.

A linear equation is an equation that increases at a constant rate. It has a single variable that is raised to the power of one.

Looking at the table, there is a proportional relationship between  Jose's age and Mario's age.

A proportional relationship has this form: j = bm

Where:

j =  Jose's age m =  Mario's age b  = constant of proportionality

10 = b3

b = 10 / 3

b = 3 1/3

j = [tex]3\frac{1}{3}[/tex]m

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Answer:

j=m+7

Step-by-step explanation:

given the f(X)=2x+3/x-1 and g(X)=3x+1
a.)evaluate
i.)fg(-1)​

Answers

Evaluation of fog(-1) = 1/3

Given,

f(X)=2x+3/x-1

g(X)=3x+1

a) Evaluate:

(f o g)(x) = f(g(x))

             = 2(g(x)) + 3/(g(x)) - 1

             = 2(3x + 1) + 3/(3x + 1) - 1

             = 6x+2+3/3x+1-1

(f o g)(x) = 6x+5/3x

i) fog(-1) = 6(-1)+5/3(-1)

            = -6+5/-3

            = -1/-3

fog(-1)   = 1/3

Hence, a.)evaluate: (f o g)(x) = 6x+5/3x

i.)fg(-1)​: fog(-1)   = 1/3

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determine whether each of the following sequences converges or diverges, and justify your answer. if convergent, find the limit of the sequence. (a) cm

Answers

The sequence {(-0.3)ⁿ}  converges by oscillation as n increases magnitude of function decreases so it converges

C. The sequence converges by oscillation. It converges to  0.

Here as n increases magnitude of function decreases so it converges.

But at any two consecutive integers function sign changes and it oscillates. Thus it is not monotonic,

the complete question is

Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges.

{(-0.3)ⁿ}

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The sequence diverges monotonically.

B. The sequence converges monotonically. It converges to ____.

C. The sequence converges by oscillation. It converges to ____.

D. The sequence diverges by oscillation.

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Which is a source of bias in a survey question?

a multiple-choice question that does not list commonly known options
a question that is so difficult most students will miss it
a question that asks a student to give an example of a concept in the lesson
a question that is so easy all students give the right answer

Answers

The source of bias in a survey question is D. a question that is so easy all students give the right answer.

What is a bias?

Source bias is the propensity to favor sources of information that corroborate or contradict a certain set of views or values.

When systematic inaccuracy is added to sampling or testing during research, bias emerges. This happens when one outcome or response is preferred over others. Bias can appear at any stage of the research process, including study design, data collection, data analysis, and publication.

It should be noted that when the question is so easy, it ilustrates bias since it was intentional.

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customers arrive at a checkout counter in a department store according to a poisson distribution at an average of seven per hour. what are the probabilities that

Answers

From the information given in the Poisson Distribution, the probability that  that no more than three customers arrive that is P (X≤3) = 0.0817.

What is a Poisson Distribution?

The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.

What Are the Poisson Distribution's Assumptions?

To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.

What is the justification for the above result?

According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7

Probability (P) that no more than three customers arrive is notated as P(X≤3)

= P(X=0) + P(X=1) + P(X=2) + P(X=3)

= Poisson (3,7,1)  

= 0.0817

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Aschool playground is rectangular and has a length of50 m and
a width of 30 m as shown. A safety eone of uniform width surrounds
the playground. lfthe area ofthe safety zone equals the area ofthe
playground, what is the width of the safety zone, to 2 decimal places?

Answers

The most appropriate choice for quadratic equation will be given by

Width of safety zone is 7.84 m

What is equation and Quadratic equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=)  sign is called equation.

A two degree equation is known as quadratic equation.

Let [tex]ax^2+bx +c[/tex] be a quadratic equation (a ≠ 0)

Then

[tex]x = \frac{-b \pm \sqrt{b^2 -4 \times a \times c}}{2\times a}[/tex]

Here,

Let the width of the safety zone be x metre

Length of rectangular park = 50m

Breadth of rectangular park = 30m

Area of rectangular park = [tex]50 \times 30[/tex]

                                         = [tex]1500[/tex] [tex]m^2[/tex]

Length of rectangular park with safety zone = (x + x + 50) m

                                                                         = (2x + 50) m

Breadth of rectangular park with safety zone = (x + x + 50) m

                                                                         = (2x + 30) m

Area of rectangular park with safety zone = (2x + 50)(2x + 30) [tex]m^2[/tex]

                                                                      = [tex]4x^2 +60x + 100x + 1500[/tex]

                                                                      = [tex](4x^2 + 160x +1500) m^2[/tex]

Area of safety zone = [tex]4x^2 +160x+1500-1500[/tex]

                                 = [tex]4x^2 +160x[/tex]

By the problem,

[tex]4x^2 +160x=1500[/tex]

[tex]4x^2 +160x-1500=0[/tex]

[tex]4(x^2 +40x-375)=0[/tex]

[tex](x^2 +40x-375)=0[/tex]

[tex]x = \frac{-40 \pm \sqrt{40^2 -4 \times 1 \times (-375)}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{1600 +1500}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{3100}}{2}[/tex]

[tex]x = \frac{-40 \pm 55.68}{2}[/tex]

[tex]x = \frac{-40 + 55.68}{2}[/tex] or [tex]x = \frac{-40 - 55.68}{2}[/tex]

[tex]x =7.84[/tex] or [tex]x = -47.84[/tex]

[tex]x = -47.84[/tex] is not possible as width cannot be negative

so [tex]x = 7.84[/tex] m

Width of safety zone is 7.84 m

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I need help with this question asap 5x-4+4x=

Answers

Answer:9x-4

Step-by-step explanation:

Answer:

It simplifies to 9x-4

x= 4/9 or 0.4

Step-by-step explanation:

15. Determine the sum of the measures of the interior angles of this seven-sided polygon.
Show your calculation.

Answers

Answer:

900⁰

Step-by-step explanation:

Use the formula:

(n-2)×180 =sum of interior angles.

n= number of sides

(7-2) × 180= 5×180= 900⁰

The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented. Which description best compares the two functions? Company 1 Company 2 11 m = movies, d= dollars d=3m + 5 There is a higher rate of change at Company 1. It costs more to rent movies from Company 2. There is a higher rate of change at Company 2. Company 1 adds a higher initial fee to the rental cost.​

Answers

The equation is d = 3m + 5

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.

The cost function is given by the equation d = 3m + 5

where, d = dollars, m = movies

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Please help
It’s due tonight

Answers

Answer:

it -8 2÷-14=-7 x=-7

-7+-1=-8

Prove that the measures of the exterior angles of a triangle have a sum of 360°.
Given: <1, <2, and <3 are exterior angles.
Prove: m<1 +m<+m<3 = 360

Answers

Sum of Exterior Angles of Triangle is 360°.

Define Exterior Angle

The angle between any side of a shape and a line that extends from the next side is known as the exterior angle.

Let's Prove: ∠1 + ∠2 + ∠3 = 360°

The angle that is created between one of a triangle's sides and its adjacent extended side is known as the external angle. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.

From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the sum of all the exterior angles of any polygon is equal to 360°.

Thus, sum of all the exterior angles of a triangle = 360°

Therefore, In triangle ABC the sum of exterior angles,

∠1 + ∠2 + ∠3 = 360°

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1.2x10^8 x 4.0x10^3

Scientific Notation​

Answers

Answer:

4.8x10^11

480000000000

Step-by-step explanation:

If someone were to answer all the questions that would be appreciated im confused with this!

Answers

Answer:

Choice A I think, i'm not really sure!

Select all of the TRUE statements

A.
Dilations of a triangle are congruent to the original triangle.

B.
Dilations always increase the length of line segments.

C.
Dilations of a triangle are similar to the original triangle.

D.
Dilations of perpendicular lines remain perpendicular lines.

E.
Dilations increase the measure of angles.

F.
Dilations of an angle are congruent to the original angle.

Answers

The statements which are true include the following:

C. Dilations of a triangle are similar to the original triangle.

D. Dilations of perpendicular lines remain perpendicular lines.

F. Dilations of an angle are congruent to the original angle.

The types of transformation.

In Geometry, there are different types of transformation and these include the following:

ReflectionRotationTranslationDilation

What is dilation?

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

In this context, we can reasonably infer and logically deduce that a dilation of perpendicular lines would always remain perpendicular lines because it takes each of the line to another perpendicular line.

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The points (3,9) and (2,6) fall on a particular line. What is its equation in slope-intercept form

Answers

Answer:

Equation of a line given two points:

Line equation: y = 3x

Slope = 3

Intercept = 0

Answer:

2 quinoa because it will comit 4 plus6

7u + 17 - 12u = -38 solve for u and simplify your answer as much as possible

Answers

Answer:

u=11

Step-by-step explanation:

7u-12u+17=-38-combine like terms

-5u=-38-17

-5u=-55

-u=-11

which means u=11

Answer:

u = 11

Step-by-step explanation:

7u + 17 - 12u = - 38 , that is

- 5u + 17 = - 38 ( subtract 17 from both sides )

- 5u = - 55 ( divide both sides by - 5 )

u = 11

Ten years ago, you could buy a loaf of bread for $1.21.

Twenty years ago, you could buy a loaf of bread for $0.92.

What is the difference in prices?

Answers

In 10 years the price for a load of bread has raised $0.29
The difference between the two prices can be found using subtraction.

1.21 - 0.92 =

0.29

3. In your own words, describe what is
happening in lines 9-14 of the poem "the sea
view"

5. How does the shift in mood after line 8 affect
the reader what is your reaction to this poem?
Please Refer to the poem
"The sea view"

Answers

Answer:

Talks about man's brutality

Step-by-step explanation:

It says man spoils Heaven's glorious works with blood, meaning that Earth was perhaps a gift for humans which we ourselves have ruines by engaging in brutal and barbaric acts of war and murder.

The reader is almost instantly brought into reality. The reader is made to feel like the first half of the poem was an illusion and the second half was the real reality. The sudden drop from a heaven-like and fantastical description to a dark and hellish world, makes teh reader uncomftable and almost as if realisation hits the reader and causes them to feel guilty and almost at unease of their own presence

a + b - 8 = p solve for a

Answers

Answer:

a = −b + p + 8

Step-by-step explanation:

a + b - 8 = p solve for a

a + b - 8 = p

subtract b from both sides:

a + b - 8  - b = p - b

a - 8 = p - b

add 8 to both sides:

a - 8 + 8 = p - b + 8

a = p - b + 8

rearrange for alphabetical order:

a = −b + p + 8

Answer:

a = p + 8 - b

Step-by-step explanation:

Step 1: Add 8 both sides

[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]

Step 2: Subtract b both sides

[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]

Note: You can also subtract b both sides first then add 8 both sides.

Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].

Please let me know if you have any questions!

Which of the following represents the inequality 6x -2 ≥

10

Answers

Answer:

Option 2

Step-by-step explanation:

[tex]6x-2 \geq 10 \\ \\ 6x \geq 12 \\ \\ x \geq 2[/tex]

So, we want a graph with a closed circle at 2 with the arrow pointing to the right.

Answer:

2nd choice

Step-by-step explanation:

6x - 2 ≥ 10

add 2 to both sides

6x - 2 + 2 ≥ 10 + 2

6x ≥ 12

divided b0th sides by 6 to get x alone

6x/6 ≥ 12/6

x ≥ 2

x is greater than or equal to 2

equal to 2 is shown by a shaded in circle (cannot be option 3 or 4)

x is bigger than 2 so the arrow is to the right

whats greater 0.9 , 4/5 , 76% , 9/8
(IN THE LEAST TO GREATEST)

Answers

Answer:

76%,4/5,0.9,9/8

Step-by-step explanation:

What am I supposed to do here?

Answers

In linear equation, solar system is 0.002 *  10³⁰   more than sun.

What are a definition and an example of a linear equation?

A linear equation with one variable is one that includes just one variable. It has the expression Ax + B = 0, with A and B being any two actual figures and x being an uncertain variable with only one possible value. Such a linear equation in one variable is 9x + 78 = 18.

 Mass of solar = 1.991 * 10³⁰

 Mass of sun = 1.989  * 10³⁰

                     = 1.991 * 10³⁰  - 1.989  * 10³⁰

                      = 10³⁰ ( 1.991 - 1.989 )

                     = 0.002 * 10³⁰

 solar system  0.002 *  10³⁰ is  more than sun.

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