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

what is a linear equation that contains these points?​

Answers

Answer:

C

Step-by-step explanation:

If you plug in the numbers into that equation you get

1 = -2(2) + 5

1 = -4 + 5

1 = 1

You can also do this again with x = 5 y = -5

-5 = -2(5) + 5

-5 = -10 + 5

-5 = -5

(15 points) plz ay help would be appreciated and brainly will be given to best answer/for e-f find the value of x,y.z in each figure

Answers

Answer:

For E, each angle is 60° because its an equilateral triangle.

F is 45° for x, 135° for y, lastly z is 22.5°

Helppppppppppppppppp

Answers

Answer:

if it's asking for the like point it would be (3,3)

Step-by-step explanation:

i apologize if that's not what it is asking for

What is the new position of the drone relative to the top of the building?

Answers

Answer:

The new position of the drone relative to the top of the building would be:

[tex]-12\frac{5}{8}[/tex]

Hence, option (B) is correct.

Step-by-step explanation:

Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.

As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].

Thus, the new position becomes

[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-\frac{943}{8}[/tex]

The LCM of 4,8: 8

Adjusting fractions based on LCM

[tex]=\frac{606}{8}-\frac{943}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{606-943}{8}[/tex]

[tex]=-\frac{337}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-42\frac{1}{8}[/tex]

THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:

As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.

i.e

[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]

The LCM of 8, 2: 8

Adjusting fractions based on LCM

[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{-337+236}{8}[/tex]

[tex]=-\frac{101}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-12\frac{5}{8}[/tex]

Therefore, the new position of the drone relative to the top of the building would be:

[tex]-12\frac{5}{8}[/tex]

Hence, option (B) is correct.

Please help me with 7

Answers

It is 7/25, sorry I have to make my text longer but ignore this because the awnser is 7/25

Answer:

Third choice, 7/25

Step-by-step explanation:

14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this

14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25

Question1Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Circle has the larger circumference by centimeters. Use LaTeX: \pi=3.14,Question2 A circle's circumference is approximately 44 cm. Complete each statement using one of these values: 7, 11, 14, 22, 88,138, 154, 196, 380, 616.


a. The circle's diameter is approximately cm.


b. The circle's radius is approximately cm.


c. The circle's area is approximately cm2.

Answers

Answer:

1.) CIRCLE B

2.) 14 cm ; 7cm ; 154cm²

Step-by-step explanation:

Given that:

CIRCLE A:

Diameter (d) = 9cm

CIRCLE B:

Radius (r) = 5cm

Circumference of circle A:

Radius (r) = diameter / 2

C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm

Circumference of Circle B:

C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm

CIRCLE B has the larger Circumference.

2.) circle with Circumference (C) = 44cm

Diameter of circle ;

C = 2 * pi * (d/2)

44 = 2 * 3.14 * (d/2)

44 = 6.28d / 2

88 = 6.28d

d = 14.01 = 14.0 cm ( 1 decimal place)

B.) Circle's Radius

Radius = diameter / 2

Radius = 14.0 / 2 = 7 cm

C.) Area (A) of the circle :

A = pi * r^2

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

A = 154 cm²

Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn?​ Write an equation and solve

Answers

Music us enjoy to --- and said aaaa

Which calculation and answer show how to convert 5/16 to a decimal

Answers

Answer:

0.3125

Step-by-step explanation:

There are two different methods:

make an equivalent fraction with the denominator as a power of

10

. This can be

10

,

100

,

1

,

000

,

10

,

000

,

100

,

000

and so on...

5

16

×

625

625

=

3125

10000

Once the denominator is a power of

10

, the number of zeroes indicates how many decimal places there will be.

3125

10000

=

0.3125

4

decimal places

This method only works if the denominator is a factor of one of the powers of

10

divide the numerator by the denominator

5

16

=

5

÷

16

=

0.3125

-g00gle I copied and pasted so might look weird

Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?

Answers

Answer:

HG

Step-by-step explanation:

Where they meet another line at a 90 degree angle.

The segment that is perpendicular to segment AH in the given cube is: HG.

What are Perpendicular Segments?

When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.

In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.

Learn more about perpendicular segments on:

https://brainly.com/question/1865107

#SPJ9

Which linear equation represents a non-proportional relationship?
A)
y = 1.5%
B)
y = x + 3
ya
D)
y=-3x

Answers

Answer:

Is there an option C?

What is the least common multiple of the two denominators?
6/8 and 4/32

-8
-32
-12
-18

Answers

Answer:

32

Step-by-step explanation:

32 × 1 = 32

8 × 4 = 32

Therefore, the LCM is 32

6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest

Answers

3x+18

Step-by-step explanation:

Answer:

3x+18

Step-by-step explanation:

Is the answer

answer

What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.

Answers

Answer:

Solve the equation so it is in the y=mx+b form.

Step 1. 6x+9y = 216

Step 2. 9y = -6x+216

Step 3. y = -6/9x+24

Step 4. Simplify/Reduce to get y = -2/3x+24

Since it is Parallel then the slope is the same so the slope is -2/3x.

Step-by-step explanation:

Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?

Answers

Answer:

he earned 8 dollars in interest

Step-by-step explanation:

800(1+(.02)(.5))

hopefully im correct

At a grocery store to gallons of milk cost $7.20 and 5 gallons of milk cost $18 write an equation relates the total cost T to the gallons of milk purchased M

Answers

Answer:

$7.20 + (5 x $18) = T

Step-by-step explanation:

Can someone help me pls

Answers

Answer: 39.4784

Step-by-step explanation:

The equation for area of a circle is (3.14)r^2.

Just plug in the given radius (4) into the equation and solve.

John is selling sets of Legos and makes a 10% commission on all sales. what would his
commission be on the sale of a $3750 set of Legos?
Commission would be $

Answers

Answer: The commision would be $ 375

Step-by-step explanation:

Evaluate each expression
|30-5|-|-7|

Answers

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

Find the gradient of the line segment between the points (5,-2) and (3,-8).

Answers

Answer:

3

Step-by-step explanation:

The gradient of the line can be calculated using the [tex]\frac{rise}{run}[/tex] between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-8-(-2)}{3-5}[/tex]

     = [tex]\frac{-8+2}{3-5}[/tex]

     = [tex]\frac{-6}{-2}[/tex]

     = 3

Find the slope of the line.

Answers

the slope of the line is 4/5

i need some help I really don't know how to start ​

Answers

Answer:

14

Step-by-step explanation:

these are similar triangles.

4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4

8 * 7/4 = solution

= 14

Determine the type of triangle that is drawn below.

Answers

Answer:

it is an isosceles triangle

Step-by-step explanation:

the two sides of the triangle are equal in length, also the angles opposite to the equal sides are equal. so, it is called as isosceles traingle


Find the coordinates of the reflection: B (4,5) is reflected over the line y=x

Answers

Answer:

d

Step-by-step explanation:

just try to form the graph it really helps visualising it and finding the reflection i hope this helped

Its C (-4,-5) it reflects over y=x

Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5​

Answers

D=1 I hope this helps!!

When are two distinct lines parallel?

Answers

Answer:

if the line keeps going and theynever touch

Step-by-step explanation:

Answer:

Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other

Step-by-step explanation:

3 4/5 - 2 1/3 and if needed simplify

Answers

1 7/15 hopes this works

Answer:

1 7/15 or 22/15

Step-by-step explanation:

Determine which lines, if any, are parallel or perpendicular. Explain.
Line a passes through (0,4) and (4,3).
Line b passes through (0, 1) and (4,0).
Line c passes through (2,0) and (4,4).
are parallel, because they have
Ja are perpendicular, because they
have slopes that are

Help!!!

Answers

Answer:

line a and b are parallel, there is no perpendicular lines

Step-by-step explanation:

Looking at the slope of each line, you can identify whether the lines are parallel, perpendicularlar, or neither.

When the slopes are the same, they are parallel.

When the slopes have opposite sign and numerator and denominator flipped, they are perpendicular. Ex. [tex]\frac{a}{b}[/tex] and [tex]-\frac{b}{a}[/tex] are perpendicular slopes.

Finding slope is using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Line a has slope  [tex]\frac{3-4}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]

Line b also has slope [tex]-\frac{1}{4}[/tex]

Line c has slope 2

Since slope of line a and b are same, they are parallel.

Line c is not perpendicular to line a and b because the slope should have opposite sign and numerator and denominator flipped, which is 4 not 2.

what is measuring mass​

Answers

Answer:

Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.

what is a better deal

$23 for 10 lb or $32.05 for 15 lb

Answers

$32.05 for 15 lb is a better deal.
$23 for 10 means you’re paying 2.3 per pound while $32.05 for 15 means you’re paying 2.13 per pound. Which means that you’re paying less in the second one

B
20
A
19
С
What is the length of BC?

Answers

Answer:

6.245

Step-by-step explanation:

........... .....

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