The perimeter of the rectangle below is 54 units. What is the value of x?

Answers

Answer 1

Answer:

x has a value of 14.

Step-by-step explanation:

In addition to the information provided in the question, we are also told that the rectangle has a length x+1 and a width x-4.  This is all we need to know.

To work this out, we simply need to plug those numbers into the equation for the perimeter of a rectangle.  That would be p = 2l + 2w, where p is perimeter, l is length, and w is width.

We know that the resulting area (p) is equal to 54 units.  We are also given variable values for the length and width.  With that we can simply plug them into that equation and solve it for x:

[tex]p = 2l + 2w[/tex]

[tex]54 = 2(x + 1) + 2(x - 4)[/tex]

[tex]54 = 2x + 2 + 2x - 4[/tex]

[tex]54 = 4x - 2[/tex]

[tex]56 = 4x[/tex]

[tex]x = 56 / 4[/tex]

[tex]x = 14[/tex]


Related Questions

Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?

Answers

Answer:

$ 3.39

Step-by-step explanation:

X = 45 - (13.87*3)

x = 45 - 41.61

x = 3.39

Solve for n
n - 11 = 3n - 1 - 8

Answers

Answer: N= -1

Explanation:
N-11 =3n - 1-8
First, Add the 1-8 so it’s now n-11 =3n -9
Next, collect like terms so now it’s is -2n=-9+11
Lastly, divide both sides by -2 which will leave you with n=-1

What are the five ways we should examine characters to gain information about them?

Answers

Answer:

The five methods are physical description, action, inner thoughts, reactions, and speech.

Step-by-step explanation

will give brainliest

Answers

Answer:3

I’m sorry if it’s wrong

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

GG

Write the following as an algebraic expression. Then
simplify.
The perimeter of the iscosceles triangle with
base length x - 10 and legs of length x.
The answer is
☐ (Simplify your answer.)

Answers

An algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to y = 3x -10.

As given,

In isosceles triangle

Base length=x - 10

Length of the legs=x

Let y be perimeter of the triangle

Algebraic expression is

Perimeter of isosceles triangle =sum of all the legs length

⇒y=x - 10 +x + x

⇒y=3x -10

Therefore, an algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to

y = 3x -10.

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Which table shows a proportional relationship

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

In a proportional relationship, the ratio of y to x is the same for all values of x and y. Here, you can determine if that is the case by looking at the first two table entries in each table.

  A. -4/1 = -12/3 . . . proportional

  B. -5/1 ≠ -13/3 . . . not proportional

  C. -4/1 ≠ -16/3 . . . not proportional

  D. -8/1 ≠ -20/3 . . . not proportional

Solve for all values of a in simplest form. 24 = (a + 2]​

Answers

Answer:

a = 22

switch the sides (a + 2) = 24

a + 2 = 24

subtract 2 from both sides

a = 22

Write the equation of the line that passes through the point (-6, 1) and has a slope of 1/2.

Answers

The answer is y=1/2x+4

Adjacent angles share a vertex and a ________


Ray

Line

Point

Segment

Answers

I believe the answer is point.

Someone help me please

Answers

Answer:

x = 6.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We have a right triangle triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 64°

Opposite = 13

Adjacent = x

Step 3: Solve for x

Substitute:                                 tan64° = 13/xMultiply x on both sides:          xtan64° = 13Isolate x:                                    x = 13/tan64°Evaluate:                                    x = 6.34052

what is -0.66666666666 as a fraction

Answers

Answer:

-2/3

Uhh I need 20 characters so here

-2/3, if -1/3 is 0.333333333333333333333, double that, -0.666666666666, would have to be -2/3

Write an equation in slope intercept form of the line that passes through the points (12, 15) and (9, 6). Show all work!!

PlSSSS HELPPPPP WORTH 60 POINTSS!

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

y = 3x -21

Slope intercept form: y = mx + b

m (slope) = 3

B = - 21

Stay safe and Merry Christmas! :)

The base of a rectangular crayon box is 8 centimeters long and 4 centimeters wide. Its height is 10 centimeters. What is the volume of the crayon box?​

Answers

Answer:

320

Step-by-step explanation:

first we find the base of the box which is 8 x 4 = 32. then take base x height whcih is 32 x 10 = 320

What is the slope of any line parallel to the graph of y = 8x + 20?

Answers

Answer:y=mx+b

m=slope

Step-by-step explanation:

the slope is 8

The slope of line is 8.

Given that,

Graph is y = 8x + 20We need to find the slope of line.

According to the scenario, calculation of data are as follows,

Formula for slope of parallel line is as follows,

y = mx + b ( where m = slope)

So, by comparing both equations we get,

m = 8

or slope of line = 8

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The time it takes to fly from LA to NY varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h? Answer as a decimal only.

Answers

The time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

Given,

Time taken by plain to fly from Los Angeles to New York = 6 hours

Speed of plain = 900 km/h

We have to determine the time taken by the plain if it flies at a speed of 800 km/h

Distance cover by plain = speed x time = 900 x 6

Distance cover by plain = 5400 kilometer

New time taken by plain = Distance cover by plain / New speed of plain

New time taken by plain = 5400 / 800

New time taken by plain = 6 hours 45 minutes

That is, the time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

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Trudy wants to buy a television for her new apartment. The total cost is $722 including tax. She put $200 down and will make 12 monthly payments for the balance. What is the amount of each payment?

Answers

Answer:

$43.5 dollars every month

Step-by-step explanation:

The cost is $722 with $200 already payed.

The amount for each monthly payment is the rest of the cost divided by the number of months.

522/12 = $43.5

43.5 each month is the answer

What is this line called on a ruler and what is it used for?

Answers

Answer:

A hash mark.

Step-by-step explanation:

The marks or intervals on a ruler are called hash marks. That particular hash mark measures 0 millimeters. Hash marks are used for telling the measurement of an object.

evaluate the expression 7x if x=11
A.18
B.77
C.4
D.711

Answers

7(11)= this is because when you multiply both B.77. you get one answer

If Elena eats 2 servings of granola , how many calories dose she eat?

Answers

Answer:

700

Step-by-step explanation:

Please give brainliest

Divide 1750 by 5 and get 350.

350 times 2 is 700

Razee is filling bags with party favors for his birthday party the table to the right shows the number of bags he still needs to fill after 4, 5, 6 and seven minutes if he is working at a constant rate what was the initial number of party favor bags razee had to fill?

Answers

The initial number of party favor bags Razee had to fill were 48 bags.

Here, we will use arithmetic progression to solve this problem.

We are given that:

At 4 minutes, 36 bags were remaining.

At 5 minutes, 32 bags were remaining.

At 6 minutes, 28 bags were remaining.

At 7 minutes, 24 bags were remaining.

This can also be written as:

a₄ = a + 3d = 36

a₅ = a + 4d = 32

a₆ = a + 5d = 28

a₇ = a + 6d =24

where a is the initial number of party favor bags.

a₅ - a₄ = a + 4d - a - 3d

a + 4d - a - 3d = 32 - 36

d = -4

a + 3d = 36

a + 3(-4) = 36

a - 12 = 36

a = 36 + 12

a = 48

Therefore, the initial number of party favor bags Razee had to fill were 48 bags.

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Marco is going back-to-school shopping. he has a coupon for $10 off a purchase at kohl's. he's only focusing on shoes today, which are $25 each. what equation represents the total of his purchases (y) based on the numbers of shoes bought (x)? responses

Answers

Answer: y = 25x -10

Step-by-step explanation:

Please Help me!! It’s question number 2

Answers

Answer:

if you need help with any other question i got you but i cant see like 30% of the whole problem

Zanaveya was testing a toy car on a ramp to see how far it would go. When she put it a third of the way up the ramp, it went 2 feet. When she put it at the top of the ramp, it went 5 times farther. How far did the car go this time?

Answers

Answer:

The car goes 10 ft

Step-by-step explanation:

Given

[tex]Distance = 2ft[/tex]

[tex]New\ Distance = 5\ times\ farther[/tex]

Required

Determine the new distance

x times farther means x multiplied by the initial distance.

So:

5 times farther would be: 5 multiplied by the initial distance.

Hence,

[tex]New\ Distance = 5 * 2ft[/tex]

[tex]New\ Distance =10ft[/tex]

i.e. the car goes 10 ft

A client pays for a moving company to move 25 boxes. If the moving company charges $12.50 per box and a base fee of $199.95 to each client, what is the total amount the client pays? S212.45 $237.15 $312.50 $512.-15​

Answers

Answer:

$512.45

Step-by-step explanation:

Total payment to each client comprises of the base fee and the fee for moving boxes:

199.95 + 25*12.50 = 512.45

Total amount is $512.45

Nicloe bought a meal for $8 that has no sales tax she tips 20% what is the total amount including the tip​

Answers

first you have to find 20% of $8. you have to convert 20% into a decimal and multiply that by 8 which would be 1.6. then, add that to the $8. your answer would be $9.60.

I will be giving brainlest and thanked and 5 stars! Please do right now to earn it!!!

Answers

The answer is exponential growth :)

A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the wall as shown in the picture.

Which of the following is the approximate distance from the top ladder base of the wall.

A) 6ft
B) 9ft
C) 11ft
D) 14ft

Answers

I believe it is 6ft✨

Answer:

9ft. (B)

Step-by-step explanation:

Pythagoras theorem( a²+ b²= c²)

=a²+4²=10²

a²+16=100

a²=100-16

a²=84

a=√84

=9.1

approx. =9

find the area of a rhombus with a perimeter of 52ft and one diagonal of length 24ft?

Answers

Answer:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Step-by-step explanation:

Answer:

area of rhombus whit a perimeter of 52 ft and one diagonal of length 24ft

Step-by-step explanation:

4, 12, 36, 108, ...
write an explicit formula for each sequence

Answers

Answer:

Formula is ×3

Step-by-step explanation:

4×3=12

12×3=36

36×3=108

Help me plz . Due tonight

Answers

Answer: y= - ( x - 5) ( x + 7)

Step-by-step explanation: The x-intercepts are at -5 and 7. when you don’t have a negative symbol before the parentheses, that indicates that the parabola will be shaped like a U. when you do, it’s shaped the opposite of a U. and now look at the equation answer.

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