The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.

Answers

Answer 1

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer 2

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D


Related Questions

2 and 3 fiths times 5/6 express youre answer in the simplist form

Answers

Answer:

2 and 1/6, hope this helps :)

4. A train traveled 300 miles in 2.5 hours. At this rate, how far would the train travel in 9 hours?
HELP PLEASE✨❤️

Answers

Answer:

300 miles in 2.5 hours

divide 300 by 2.5

120 miles per hour

120 x 9 = 1080

Step-by-step explanation:

need help asap !!!!!!!!

Answers

Answer:with what I could help

Step-by-step explanation:

Mrs. Owens laid carpet in a rectangular room 12 ft by 15 ft
About how much carpet did she buy?
A 27 sq ft
B. 180 sq ft
C 54 sq ft
D. 45 sq ft
E 160 sq ft

Answers

Answer:

180 sq ft

Step-by-step explanation:

12 x 15 = 180

The total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

Mrs. Owens laid carpet in a rectangular room, 12 ft by 15 ft. Here, the length of the rectangular carpet for the room should be 15 ft and width should be 12 ft.

Thus, the area of the carpet is,

[tex]A=15\times12\\A=180\rm\; ft^2[/tex]

Thus, the total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

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What is an equation of the line in point-slope form?


(3.8) and (7,5)

Answers

This is one equation y-5=-3/4(x-7)

I need help please do

Answers

Answer:

design 3

Step-by-step explanation:

The average that the car rides in design 1 is 13

Design:2 about 10.5

Design:3 14 is the average

Sorry if this is incorrect im just a nerdy 6 grader who is cool and likes to play football

HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false

Answers

1) true ?
2) false
3) true

combining like terms with negative coefficients
2y-3xy+4y-5xy ?

Answers

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?

Answers

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

What is the constant term in the polynomial expression, and what does it represent?

Answers

Aconstant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial

x
2
+
2
x
+
3
,

x^{2}+2x+3
the 3 is a constant term.

Which type of letters are used to name points?​

Answers

Answer:

Points are Labeled with capital Letters, such aa P.

Abox is 30 inches long wide, 16 inches long, and 14 inches high. To the nearest cubic inch,
what is the volume of the box?

Answers

Answer:

6720[tex]in^{3}[/tex]

Step-by-step explanation:

length x width x height

30 in x 16 in x 14 in = 6720[tex]in^{3}[/tex]

The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?​

Answers

Answer:

Step-by-step explanation:

(x - 2)/2 = 1

x - 2 = 2

x = 4

(y + 5)/2= 1

y + 5 = 2

y = -3

(4, -3) Coordinates of B

The coordinates of endpoint B is (4,-3).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

Mid point of line segment = M(1,1) i.e. (x,y)

coordinates of A = (-2,5) i.e. (x₁ ,y₁ )

So we have,

x = 1

y = 1

x₁ = -2

y₁ = 5

Let the coordinates of the end point be B(x₂,y₂)

Since,

x = (x₁+x₂)/2

⇒ x₂ = 2x - x₁

Put the values we get,

⇒ x₂ = 2*1 - (-2)

⇒ x₂ = 2 + 2

⇒ x₂ = 4

Similarly,

y = (y₁+y₂)/2

⇒ y₂ = 2y- y₁

Put the values we get,

⇒ y₂ = 2*1- 5

⇒ y₂ = 2 - 5

⇒ y₂ = -3

Hence, the coordinates of endpoint B is (4,-3)

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The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?

Answers

Answer:

work is attached and shown

f(x)=18x+11, find f(5)

Answers

Answer:

[tex]\boxed {\tt f(5)=101}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=18x+11[/tex]

and asked to find f(5). Therefore, we must substitute 5 in for each [tex]x[/tex].

[tex]f(5)=18(5)+11[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 18 and 5.

[tex]f(5)=90+11[/tex]

Add 90 and 11.

[tex]f(5)=101[/tex]

f(5) is equal to 101.

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?

Answers

I’m pretty sure the answer is 1,108.8 if it’s wrong my bad

On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G

Answers

Some possible coordinates for G are 11 or -15

Can someone please help me (it’s question 15)

Answers

Answer:

C

Step-by-step explanation:

solve please: 40=8d​

Answers

Step-by-step explanation:

: 40=8d

divide both sides by 8

40/8=8d/8

d=5

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{40 = 8d}[/tex]

[tex]\textsf{FIRST \& LAST step: DIVIDE by 8 on both of your sides}[/tex]

[tex]\mathsf{\dfrac{40}{8} = \dfrac{8d}{8}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{8}{8}\ because\ it\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{40}{8}\ because\ that\ helps\ us\ solve\ for\ \bf{d} \textsf{ \ or \ answers\ d}}[/tex]

[tex]\mathsf{\underline{\dfrac{40}{8} = 40\div8 \rightarrow 5}}[/tex]

[tex]\mathsf{Answer}[/tex]

[tex]\textsf{\bf{d = 5}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

a −3=( a 1 ) 5 what is the value of a?

Answers

Answer:

A=[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

Your final answer is a=-3/4

What is the zero of 2x + 3y = 12

Answers

Answer:

6

Step-by-step explanation:

2x=-3y+12

x=-3/2x+6

6 is zero

Answer:

x/the zero=6

Step-by-step explanation:

Make the y zero

2x+3(0)=12

Hope this helps please mark me Brainiest

then you're left with 2x=12

dived from both sides

x=6

How can u tell that 7.360 and 7.36 are equivalent decimals

Answers

Answer:

You can tell 7.360 and 7.36 are equivalent decimals because when you put a zero in the decimal places, it doesn't count as a number and it doesn't have a value. In conclusion, zero is just a placeholder. Therefore, if you have the zero or not it doesn't matter.

-2(4x + -4) - 3x - 2 =34

Answers

Answer:

x = -28/11

Step-by-step explanation:

-2(4x + -4) - 3x - 2 =34

Distribute

-8x+8 -3x-2 =34

Combine like terms

-11x +6 = 34

Subtract 6 from each side

-11x+6-6 = 34-6

-11x = 28

Divide each side by -11

-11x/-11 = 28/-11

x = -28/11

Answer:

x= -28/11

Step-by-step explanation:

Multiply -2 by 4x +4

That equals -8x+8

So the equation is now

-8x+8+3x -2 = 34

Now combine  like terms

11x+6=34

Subtract 6 from both sides

11x=28

divide by 11 on both sides

x =  -28/11

Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30​

Answers

Answers: (y = 2) and (x = 1)

Steps:

The solutions for the the system of equations are given as x = 1 and  y = 2 respectively.

What is a system of linear equations?

A system of linear equations is a group of equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given system of linear equations are as follows,

12x - 7y = -2          (1)

8x + 11y = 30​         (2)

In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,

2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30  

=> -14y - 33y = -94

=> -47y = -94

=> y = 2

Substitute y = 2 in equation (1) to get,

12x - 7 × 2 = -2  

=> 12x = -2 + 14

=> x = 12/12 = 1

Hence, the given system of linear equations is solved by elimination to give x = 1 and  y = 2 respectively.

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6. A student driver travels at a speed of 3km/h for an hour and a half. What
distance does it travel?

Answers

Answer:

4.5 km

Step-by-step explanation:

3km times 1 = 3 and then 3km times .5 = 1.5

3+1.5= 4.5

An automobile travels 471 miles in 8 hours.
183
What is the average speed of the automobile to the nearest mile per hour?

Answers

58.875/mph but rounded to the nearest mph would be 59/mph


Because if they traveled 471 miles within 8 hours you would divide. 471 divided by 8=59

Expand each expressions and combine like terms if possible
-12(5/6x - 5) + 2x​

Answers

Answer:

The answer is

60 - 8x

Step-by-step explanation:

[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]

Using FOIL multiply the terms in the bracket

That's

[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]

Group like terms

That's

[tex]60 + 2x - 10x[/tex]

We have the final answer as

60 - 8x

Hope this helps you

7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?

Answers

Step-by-step explanation:

just multiply 7.6g times 10

You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money?

Answers

Answer:

27 weeks

Step-by-step explanation:

Evaluate -Z + 7.49 for Z = -7.1

Answers

14.59

To solve, simply plug -7.1 into -Z. Since Z is negative in the equation, it will turn the Z that’s given to us into a negative. Since that Z is already negative, it will now become a positive since that’s what two negatives being multiplied make. This is what your problem will look like:

-(-7.1) + 7.49
7.1 + 7.49 = 14.59
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