The width of a rectangle is 2 inches smaller than its length. The perimeter is 24 inches. Find the length and width of the rectangle.

Answers

Answer 1

Answer:

7 inches and 5 inches

Step-by-step explanation:

The length the length and width of the rectangle be l and b.

Accodrding to question,

Width, b = l-2

Perimeter, P = 24 inches

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

24 = 2(l+l-2)

12 = 2l-2

14=2l

l = 7 inches

Width, b = 7-2 = 5 inches

Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.


Related Questions

Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.

Answers

Answer:

126 = 3x

Step-by-step explanation

your equation is: 126=3x

Write the following equation in standard form: x^5 + 2x^3 +6x + 1/5

Answers

Or use photomath, it is also useful!

Answer:

it already is in standard form

Step-by-step explanation:

Find the value of the variables for the given special parallelogram.​

Answers

Answer : x = 5 , y =4



Step-by-step explanation :

Hi guys can you answer my math question​

Answers

Answer:

square and what does the picture look like

Step-by-step explanation:

square but it depends on the other frames

find the length of NO

find the measure of

Answers

Answer:4-2+3 Step-by-step explanation:8


Pls help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Find the slope of the line that passes through (0, -5) and (3, -4)

Answers

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2

i have to solve for H​

Answers

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I really don’t get how to do this. It’s really confusing me! I really need help, if anyone can answer this it’ll be much appreciated

Answers

(xa + yb + xc) divided by 3 is your answer :) I hope this helps and please mark as brainliest, I’m trying to level up

Can I please have help with this one

Answers

Answer:

The second line cuts the x-axis at x = -5/2.

Step-by-step explanation:

The given line:

[tex]3x-2y=12[/tex]

Intersects a second line at x = 2.

This second line is perpendicular to the first.

And we want to find the second line's x-intercept.

First, rearrange the first line into slope intercept form:

[tex]-2y=-3x+12[/tex]

So:

[tex]\displaystyle y=\frac{3}{2}x-6[/tex]

We can see that the slope of the first line is 3/2.

It intersects the second line at x = 2.

So, the y-value of both the first and second line at x = 2 is the same.

Find the y-value by using the first line:

[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]

So, a point on both lines is (2, -3).

Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.

The negative reciprocal of 3/2 is -2/3.

So, the slope of the second line is -2/3.

And we determined that it passes through (2, -3).

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]

Distribute:

[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]

So:

[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]

The second line will cut the x-axis when y = 0.

So:

[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]

Multiply both sides by -3:

[tex]0=2x+5[/tex]

Solve for x:

[tex]\displaystyle x=-\frac{5}{2}[/tex]

The second line cuts the x-axis at x = -5/2.

Which fraction is equivalent to -3/2

Answers

Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)

Asap
Each part needs fourteen small holes drilled in its outer surface and four larger holes drilled in its inner surface. Write an expression that shows how many holes need to be drilled for c parts.

Answers

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

house a and house b are very similar houses located in different parts of the city.The graph shows the value of each house for the first part of the year?

Answers

The answer is 17,000 it is simple addition. Ur name says Ur in highschool. I am in sixth grade. I just solved it. Just do me a favor and try next time.

when johns age is doubled, the number is 5 more than kaylas age. if john is x years old, what is kayalas age?

Answers

Answer:

Ang mga Babae sa Relihiyon at Pilosopiya sa Asya. Limang Ugnayan. emperador-mamamayan. ama-anak na lalaki.

Use the strategy you developed i
a. a/7 + a/3 = 10

Answers

Answer:

A=21

Step-by-step explanation:

a/7 + a/3 = 10

3a/21+7a/21=210/21

3a+7a=210

10a=210

a=21

Can anybody help me please?

Answers

Answer:

Well B

Step-by-step explanation:

Just make the graph and compare them. Graph B. can be seen below

Answer: Well B

Step-by-step explanation:

Calculating, the rate was found out to be

y= 2.5x

Let y1= 0, y2= 10

x1= 0, x2= 4

(y2-y1)/(x2-x1) = (y- y1)/(x- x1)

(10-0)/(4-0) = (y-0)/(x-0)

10/4 = y/x

y= (10/4)x= 2.5x

At the zoo, Peter saw 9 animals. Some are kangaroos and some are
elephants. There are 30 legs in all. How many of each animal are there?

Answers

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

1) Find the slope and the y-byintercept of the line that passes through the points (1,5) and (3,9)

Answers

Answer: slope= 2, y-intercept= 3

I need help with this

Answers

A and C is the correct answers

The volume of the rectangular prism to the left is represented by the equation V = x ^ 4 + 11x ^ 3 + 34x ^ 2 + 5x - 75 Using what you know about these shapes, whose volumes are calculated using the formula V = lwh find the expression that represents the height (h). Length = x+5, Width = x+3

Answers

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]

PLEASE HURRY !!!
B
c
Which statement is correct for AABC and AA'B'C'?
SABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1 and then rotating it about the origin by 90 degrees
6
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'BºC, because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 90 degrees
3

Answers

Answer:

2nd choice

Step-by-step explanation:

1. dilation factor: 1/2

2. rotation: about origin anti-clockwise 180°

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the statement which is correct for triangle ABC and triangle A'B'C'.

Let us find the coordinates of triangle ABC

A=(2, 2), B=(2, 10) and C=(8, 12)

After transformation the triangle A'B'C'.

Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)

The scale factor is 1/2.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.

Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

HHHHEEELLPPPP MEEEEEEEEE PLZZZZ

Answers

Answer:

c

Step-by-step explanation:

mabye not but meh

Find the area...
HURRY!!!!!

Answers

Answer: 38

Step-by-step explanation:

A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?

Answers

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

Find the measure of each angle indicated. Round to the nearest tenth.

Answers

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

1. Solve for x
x + 1 = 6

Answers

Answer:

5

Step-by-step explanation:

Plz mark brainliest

Answer:

5

Step-by-step explanation:

Question 1 (1 point)
What is the solution to the equation
below?
5 + 6x = 2x - 7

Answers

Answer:

x = negative 3

Step-by-step explanation:

i just know lol

Solve the system of linear equations by elimination.

8x-5y=11
4x-3x=5

Answers

Answer:

x=5

y=-5.8

Step-by-step explanation:

4x-3x=1x

1x=5

x=5

8(5)-5y=11

40-5y=11

40-11=29

-5y=29

29/-5=-5.8

y=-5.8

What is the degree of this Polynomial!!!!

Answers

Answer:

4

because it is the greatest power in the polynomial

show work please i will give brailiest show work pls
2 - 1 + 5 x 4 x 11


14 ÷ 2 -1 + 3


3 x 8 x 2 – 42 + 5

Answers

1. 2-1+5x4x11
5x4=20
2-1+20x11
20x11=220
2-1+220
2-1=1
1+220=221

2. 14/2-1+3
14/2=7
7-1+3
7-1=6
6+3=9

3. 3x8x2-42+5
3x8=24
24x2-42+5
24x2=48
48-42+5
48-42=6
6+5=11
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