The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?

Answers

Answer 1

Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in


Related Questions

pla help.me with this question​

Answers

Answer:

7. A

8. B

Step-by-step explanation:

7.

     1               3

4 -------  -  2 -------

     2              4

  9        11

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

  2         4

  9(2)    11

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

  2(2)     4

  18        11         7           3

------- - ------- = ------- = 1 -------

  4         4          4            4

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

8.

      3              3

13 ------- + 16 -------

      8              4

  107       67

------- +  -------

   8           4

  107       67(2)

------- +  -------

   8           4(2)

  107       134      241               1

------- +  ------- = -------- = 30 -------

   8           8          8               8

I hope this helps!

4. Solve the quadratic equation 4x² + 7 = 25.

Answers

4x²+7= 254x²+7-25=04x²-18=0

use the formula 「x= [-b±✓(b²-4ac)]/2a」

a= 4, b= 0, c= -18

x= [-0±✓(0²-4(4)(-18))]/2(4)x= 2.1213... , x= -2.1213...
Hope this helps you

Your friend bought a new pair of shoes. He said the regular price was $75 but he got a 40% discount from the sales clerk. What is the sale price of the shoes

Answers

Answer:

40% off of 75 is 45$

Step-by-step explanation:

Divide the number by 100 (move the decimal place two places to the left).Multiply this new number by the percentage you want to take off.Subtract the number from step 2 from the original number. This is your percent off number.

Ingrid wants to buy a ​$20000 car in 8 years. How much money must she deposit at the end of each quarter in an account paying 5.9​% compounded quarterly so that she will have enough to pay for her​ car?

Answers

Ingrid must deposit $402.74 at the end of each quarter for 8 years in order to have enough money to pay for her car.

“Benjamin Franklin was born in Milk Street, Boston, on January 6, 1706. His father, Josiah Franklin, was a tallow chandler [candle maker] who married twice, and of his seventeen children Benjamin was the youngest son. His schooling ended at ten, and at twelve he was bound apprentice to his brother James, a printer, who published the ‘New England Courant.’ To this journal he became a contributor, and later was for a time its nominal editor. But the brothers quarreled, and Benjamin ran away, going first to New York, and thence to Philadelphia, where he arrived in October, 1723.”

Which is the best summary of this excerpt?
Benjamin Franklin was born in 1706. He went to Philadelphia in 1723 after a fight with his brother.
Benjamin Franklin, born in Boston in 1706, was the youngest of his father’s seventeen children. He stopped going to school at age ten, and soon after started apprenticing for his brother James, a printer, who published the “New England Courant.” Franklin became a writer and editor for the paper, but left Boston for Philadelphia in 1723 after an argument with James.
Benjamin Franklin, born in 1706, lived in Boston, New York, and Philadelphia in his early life.
Benjamin Franklin was born in Boston in 1706. He was the youngest of his father’s seventeen children. His father, Josiah, was a candle maker. Franklin’s schooling ended at age ten, and at age twelve, he started apprenticing for his brother James, who published the “New England Courant.” After apprenticing, Franklin started contributing to the paper. Later, he became an editor.

Answers

Correct answer: Benjamin Franklin held different jobs at "New England Courant".

A movie theater sells popcorn in a reusable bucket for $3.50. They offer refills for $2.50 each.
Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.

Answers

The linear function that models the problem of movie theater sells popcorn is

y = 2.50x + 3.50

How to model the required equation

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The equation as described in the problem is represented using linear function as as follows

c = cost of the bucket = $3.50

m = cost of refills = $2.50

y = 2.50x + 3.50

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Given the table below, write a linear equation that defines the
dependent variable, c, in terms of the independent variable, a.

Someone help I’ll give brainliest only need the answer no need for steps

Answers

Answer:

c = -1.75a + 15

Simplify to create an equivalent expression 7n-(4n-3)

Answers

The expression 3(n + 1) is equivalent to the given expression 7n-(4n-3).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question following:

7n - (4n-3)

We have to determine the equivalent expression

As per the question, we have

⇒ 7n - (4n-3)

Open the parentheses and distribute the negative sign,

⇒ 7n - 4n + 3

⇒ 3n + 3

⇒ 3(n + 1)

Thus, the expression 3(n + 1) is equivalent to the given expression.

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solve & check the linear equation
3(x-4) + 14=2(x+3)

Answers

Answer:

x = 4

Step-by-step explanation:

3(x - 4) + 14 = 2(x + 3)

3x - 12 + 14 = 2x + 6

3x + 2 = 2x + 6

-2x        -2x

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

x + 2 = 6

  -2    -2

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

x = 4

I hope this helps!

Prove that () = + 5 and () = √ − 5 are inverse functions without finding the inverse of either function.

Answers

if two functions are inverse of each other, that means that their composite will result in "x" alone.

meaning, that if f(x) and g(x) are inverse of each other, then f(  g(x)  ) = x and the other way around will be the same, hmmm let's see if that's true

[tex]f(x)=x^3 + 5\hspace{5em}g(x)=\sqrt[3]{x-5} \\\\[-0.35em] ~\dotfill\\\\ f( ~~ g(x) ~~ )=[g(x)]^3 + 5\implies f( ~~ g(x) ~~ )=[\sqrt[3]{x-5}]^3 + 5 \\\\\\ f( ~~ g(x) ~~ )=(x-5) + 5\implies f( ~~ g(x) ~~ )=x ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ g( ~~ f(x) ~~ )=\sqrt[3]{[f(x)]-5}\implies g( ~~ f(x) ~~ )=\sqrt[3]{[x^3 + 5]-5} \\\\\\ g( ~~ f(x) ~~ )=\sqrt[3]{x^3}\implies g( ~~ f(x) ~~ )=x ~~ \textit{\LARGE \checkmark}[/tex]

help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer:

500 rounded to the nearest tenth equal 500


Find WY.
W
8
X
39°
Y
Write your answer as an integer or as a decimal round
WY =

Answers

6,2 is the answer hope you get it correct

Find the perimeter of the shape made up of rectangles and squares

Answers

Answer: p = 45

Step-by-step explanation:

10 + 7 + 7 + 12 1/2 + 3 + 5 1/2
24 + 18 + 3
27 + 18 = 45

en una expresion algebraica la reduccion de terminos semejantes se da entre los terminos de igual

Answers

Answer:990

990

990

990

990

990

Step-by-step explanation:

Answer:

Variable y exponente.

Step-by-step explanation:

En una expresión algebraica la reducción de términos semejantes se da entre los términos de igual variable o incógnita y exponente.

Por ejemplo:

3x² + 5x²

se pueden reducir pues tienen la misma variable x y el mismo exponente 2, su resultado se genera solo sumando, restando, los coeficientes, en este caso 3 y 5

3x² + 5x² = 8x²

En el caso:

3y² + 5x²

No se puede reducir pues la variable o incógnita no son iguales:

x≠y

En el caso:

3x² + 5x³

No se pueden reducir pues su exponente no es igual.

Solve the radical equation. Please explain each step in detail.

Answers

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

Even roots can NEVER have a negative result, therefore the value of x can ONLY be positive values.

Please help heres a pic

Answers

The fourth arrow is used to represent inequality x>3.2

What is Number system?

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.

Here x>3.2 which means that values of x are greater than 3.2 so we use Open circle with right arrow.

Hence, the fourth arrow is used to represent inequality x>3.2

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You are planning a picnic for Memorial Day. You need to buy enough hot dogs and hamburgers so that each of your 10 guests can have two servings. You determined that hot dogs cost $0.40 each and hamburgers cost $0.80 each. You have $12 to spend on the hamburgers and hot dogs. How many hot dogs and how many hamburgers should you buy?

Answers

Answer:

hamburgers cost $0.80 each

Step-by-step explanation:

20 points and brainliest

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

-2x + 8 = -2x + 8

-2 makes the equation equal.

Option A is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 6 is an equation.

We have,

-2x + 8 = __x + 8

The equation has infinitely many solutions when both sides of the equation are equal.

Now,

-2x + 8 = -2x + 8 is equal on both sides.

Thus,

-2x + 8 = -2x + 8

-2 makes the equation equal.

Option A is the correct answer.

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Explain how to find the distance between 1 and -3 on a number line.

Answers

Answer:

count backwards

Step-by-step explanation:

1, 0, -1, -2, -3

Answer:two ways

Step-by-step explanation: you can either count the spaces or you could just add until you get one of the answers -3 +4 =1 1- 4=-3

I need help on my homework ASAP!! PLEASE HURRY I HAVE 20 MINUTES

Answers

Answer: 10) 18x+21     11) 20 + 30a     12)  8x + 10y

Step-by-step explanation:

Distributive property means to multiply each number within the parenthesis by the number outside of the parenthesis.

10) 3(6x + 7)

     3*6x + 3*7

     18x + 21.

With that, you should be able to see how the other questions were answered.

"Use the given conditions to write an equation for x-intercept = -3/8 and y-intercept = 4 Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any
"

Answers

Answer:

y - 4 = 32/3 x

Step-by-step explanation:

A (-3/8; 0)

B (0; 4)


slope = (4-0)/(0-(-3/8)

4/3/8

4 * 8/3

32/3


y-4 = 32/3 (x-0)

y -4 = 32/3 x


I need help please help me with this

Answers

Answer:

67.38°

Step-by-step explanation:

AD = DB = 24/2 = 12

<bcd = 12/5

< bcd = 67.38°

how much would it cost to replace all the windows on all the building in the united states?

Answers

The cost to replace all the windows on all the building in the United States is $7,200,000.

What is the expression to find the total cost?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Given that the cost to replace a window is $3 per window. IT should be noted that when there are 2,400,000 windows, the cost to replace all the windows on all the building in the United States will be:

= Cost of replacement × Total window

= $3 × 2,400,000

= $7,200,000

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The cost to replace a window is $3 per window. If there are 2,400,000 windows, how much would it cost to replace all the windows on all the building in the United States?

Write an equation that represents the line. Use exact numbers.

Answers

Answer:

[tex]y=-\dfrac{1}{3}x+5[/tex]

Step-by-step explanation:

A line's slope is defined as rise over run.

The rise and run between the coordinates (0, 5) and (3, 4) is:

rise: -1

run: 3

Therefore, the slope of the line is -1/3. This is what x is multiplied by.

Next, to find what is added to x, find where the line crosses the y-axis. IN this case, that point is when y = 5, so in the second blank put 5.

The number of total employees if there
are 150 employees that drive to work.

Answers

Answer:

150.

Step-by-step explanation:

If 150 total drive to work, then 150 work there....

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 4 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Andrew decided so joys a tenner clench. Below is a chart that displays how many games of lenis he has played and the meatal cost of playing those panes. In this scenario, C ( y ) represents the total cost for playing games.

Answers

The linear function that represents the situation is of:

C(y) = 13y + 145.

The intercept is of:

C(0) = 145, meaning that the flat fee to pay the game is of $145.

What is the linear function?

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

m is the slope of the function, representing the rate of change of the function.b is the y-intercept of the function, representing the initial value of the function.

Two points of the function, from the table, are given as follows:

(8, 249) and (13,314).

The slope is given by the change in y of the two points divided by the change in x, hence:

m = (314 - 249)/(13 - 8) = 13.

Hence:

C(y) = 13y + b

When y = 8, C(y) = 249, hence the intercept b of the function is obtained as follows:

249 = 13(8) + b

b = 249 - 13 x 8

b = 145.

Meaning that the flat fee to pay the game is of $145.

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A roofer creates a price quote to repair a
roof using shingles. Which is least likely to
affect the value of the price quote?

the estimated cost of the shingles
chosen for the roof
the estimated time to lay the
shingles and underlayment
the square footage of the front yard
and backyard
the square footage of the house and
garage

Answers

Answer:

Step-by-step explanation:

the estimated time to lay the shingles and underlayment

The Estimation cost of the shingles chosen for the roof.

What is Estimation cost?

Estimation cost is the process of predicting how much a project or task will cost. It is used to help make decisions about the feasibility of the project and to plan for its budget. Estimation cost is based on past experiences, the current market and expected future conditions. The accuracy of an estimate can be improved by gathering detailed information about the project and its components. This information can include the cost of materials, labor and time needed to complete the project. Estimation cost is an important part of project management and is used in combination with other project management tools and methods such as scheduling, budgeting and risk management.

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A rectangular piece of metal is 9 centimeters long and 6 centimeters wide. What is its area?

Answers

Answer:

54

Step-by-step explanation:

9x6

Helpgggggggggyyuuh
Gggggggggygggggggfffff

Answers

Answer:

I believe the answer is 15.

Step-by-step explanation:

let me know if I am correct.

Given f(x) = -3x + 3, solve for x when f(x) = 9.

Answers

X would be negative 2 in this situation

Answer:

Step-by-step explanation: x=-2.      -3•-2=6+3=9

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