The perimeter of a rectangle a picture frame is 66 inches. the length is 3 inches greater than the width the system of linear equations used to represent the situation shown below.

2X + 2Y = 66 and X +3 =Y

solve the system name dimension represented by each variable

Answers

Answer 1

Given:

The perimeter of a rectangular picture frame is 66 inches [2X + 2Y = 66.]The length of the frame is 3 inches greater than the width [X + 3 = Y.]

To find: The dimensions.

Answer:

Formula to find the perimeter of a rectangle = 2 × (Length + Width)

We know that 2X + 2Y = 66. Simplifying it, we get:

2(X + Y) = 66

X + Y = 66/2

X + Y = 33

Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.

Perimeter = 2 × (X + Y)

66 = 2 × 33

It's verified.

Now, we also have the expression representing the length, which is X + 3 = Y.

X + Y = 33

X + 3 = Y

Let's add both expressions.

X + Y + X + 3 = 33 + Y

2X + Y + 3 = 33 + Y

2X = 33 - 3 + Y - Y

2X = 30

X = 30/2

X = 15

Hence, the width [X] is 15.

Substituting this value into the expression representing the length,

15 + 3 = Y

18 = Y

Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.

Hope it helps. :)


Related Questions

Please help!! I’ll mark brainliest!

Answers

Answer:

Just from looking at the picture, I'm assuming that we're trying to find the terms that are like to the terms in the blue section.

1. 8c since both are in terms of c

2. 7t since both are in terms of t

3. 8r since both are in terms of r

4. -4n since both are in terms of n

5. xy since both are in terms of xy

6. 16 since both don't have any variables

7. 4sp since both are in terms of sp

Step-by-step explanation:

Answer:

8r and -2r

xy and 6xy

8c and 19c

16 and 97

4sp and sp

7t and 13t

-4n and 10n  

Step-by-step explanation:

How many 2/5 ounce servings are in 3 4/7 ounces?

Answers

It’s 2 your welcome e no ah

The suns diameter if 10 times the diameter of jupiter. If jupiter is 11 times larger than earth, how much larger than earth is the sun

Answers

Given:

The suns diameter is 10 times the diameter of Jupiter.

Jupiter is 11 times larger than earth.

To find:

How much larger than earth is the sun?

Solution:

Let the diameter of earth be x.

Jupiter is 11 times larger than earth. So,

Diameter of the Jupiter = 11x

The suns diameter is 10 times the diameter of Jupiter. So,

Diameter of sun = 10(11x)

Diameter of sun = 110x

Since, diameter of earth is x and diameter of sun is 110x, therefore, diameter of sun is 110 times of the earth.

Hence, the sun is 110 times larger than earth.

The diameter of the sun is 110 times greater than the diameter of the earth.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The sun's diameter is 10 times the diameter of Jupiter. If Jupiter is 11 times larger than earth.

Let the diameter of the Sun, Jupiter, and Earth be S, J, and E respectively

Then we have

S = 10J ...1

J = 11 E ...2

From equations 1 and 2, we have

S = 10 × 11 E

S = 110 E

More about the linear system link is given below.

https://brainly.com/question/20379472

Jaclyn is training for a long bike ride. Right now, her longest ride is miles. She plans to add miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after weeks. Do not include units in your answer.

Answers

Values in the question are missing ; we could get some input for the missing values and solve the question asked :

Jaclyn is training for a long bike ride. Right now, her longest ride is 36 miles. She plans to add 2 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 6 weeks. Do not include units in your answer.

Answer:

48 miles

Step-by-step explanation:

Given that:

Longest ride (initial) = 36 miles

Additional miles per week = 2 miles

y(x) = mx + c

c = initial ride ; m = rate (increase in miles per week) ; x = number of miles per week

Longest ride after 6 weeks will be :

[Longest ride (initial) + additional miles per week * number of weeks]

Longest ride after 6 weeks :

36 miles + (2 * 6)

36 + 12

48 miles after 6 weeks

Can someone help ????

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

KLMN ~ STUV

[tex]\frac{ST}{KL} = \frac{TU}{LM} =\frac{UV}{MN} =\frac{VS}{NK} =\frac{12}{6} = 2[/tex]

The scale factor of the dilation is 2

jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?

Answers

‘Let dogs be x and cats by y

X=2y+6
X+y=96

Put 2y+6 in for x (the second equation)
2y+6+y=96

Combine like terms and simplify
3y=90
Y=30

Use the second equation to find x changing y into a number
X+30=96
X=66

The number of dogs is 66

If I’m right, can you mark me brainliest please?

PLEASE HELP ME ASAP PLEASE

Carol and Diane are axe throwers. Carol hits the board on 44% of her throws, while Diane hits the board on 42% of her throws. Suppose that Carol throws 25 axes at the board and Diane throws 28. Let C = the proportion of axes that hit the board when Carol throws and D = the proportion of axes that hit the board when Diane throws. What is the probability that Diane’s proportion of axes hitting the board is higher than Carol’s?

0.442
0.456
0.491
0.558​

Answers

It’s the last one I think sorry if it’s nice

Answer:

0.442

Step-by-step explanation:

took the quiz

28.6-9.84
I need help

Answers

Answer:

18.76

Step-by-step explanation:

28.6 - 9.84 = 18.76

Please help ????????????????

Answers

Answer:

A) 5x - 2

Step-by-step explanation:

To solve for the perimeter, you must add the two shown equations of a rectangle.  You should get 5x - 2 as your answer.

Express the ratio as a fraction in simplest form.

Answers

Answer:

c 2/3

Step-by-step explanation:

divide both numerator and denominator by 7

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Please help I will vote brainliest for the correct answer!!!!!!!!!!!!!

Answers

Answer:

It is increasing before x = -2 and from x = 0 to x =2

Step-by-step explanation:

Given the number line and the expression shown below, select the expression that is equivalent to it.

Answers

Answer:

I need to see the number line...

Step-by-step explanation:

I’m sorry, but I need to see the number line, or I need you to describe what it looks like.

Thanks-

Write the quadratic equation in standard form please.
-x^2+7-6x=2

Answers

Answer:

Step-by-step explanation:

-x^2 - 6x + 5=0

Can you guys help me out please

Answers

the answer is 94 degrees

and the work is:

540 = 6x-6+4x-10+5x-11+5x+13+4x+2

combine like terms:

540 = 24x-12
23=x

then plug 23 in for x to get angle p:

4*23+2
92+2
94

A drone has an effective range represented by a circle on a coordinate plane. The points (–12, 3) and (–6, –5) are endpoints of a diameter of this boundary. Which equation represents the effective range boundary for the drone?
(x + 96)^2 + (y + 1)^2 = 25
(x – 9)^2 + (y – 1)^2 = 25
(x + 9)^2 + (y + 1)^2 = 100
(x – 9)^2 + (y – 1)^2 = 100

Answers

Answer:

(x+9)^2 + (y+1)^2 = 100

Step-by-step explanation:

Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.

The center is the midpoint of the two endpoints on a diameter.

Here, it is (-9, -1).

Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.

The radius: sqrt(8^2 + 6^2) = 10

So the equation is (x+9)^2 + (y+1)^2 = 100

Answer:

A)  (x + 9)^2 + (y + 1)^2 = 25

Step-by-step explanation:

edge 2023

Anyone know??? ???????

Answers

Answer:

y = -4x - 66

Step-by-step explanation:

Line q passes through the points (4, 6) and (0, 6). What is the equation for the line which is perpendicular to q and passes through the point (–2, 3)?

Answers

Answer:

        x = -2

Step-by-step explanation:

The slope of q:  

                       [tex]m_q=\dfrac{6-6}{4-6}=0[/tex]

It means the line q is parallel to X-axis. Therefore any line perpendicular to q is parallel to Y-axis.

Any line parallel to Y-axis is:  x = x₀, where x₀ is the x-coordinate of any point the line passing through.

(-2, 3)    ⇒   x₀ = -2

Which expression is equivalent to -5a + a -7a

Answers

Answer:

-11a

Step-by-step explanation:

To get the answer, you must combine these terms because they are like terms. -5a+a = -4a, and -4a-7a = -11a. Therefore, the answer is -11a.

help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)​

Answers

no because you are not distributing numbers that multiply with each other and form new expressions

Answer:

hm I'm not sure but you solve it like this

Step-by-step explanation:

(6x + 3) + (5x - 4)

remove unnecessary parenthesis

6x+3+(5x-4)

collect like terms

11x+3-4

answer :

11x-1

Pleaseee helpppp meeeeeee

Answers

Answer:

measure of Arc FJ is 80 degrees.

Step-by-step explanation:

Key skills: High School Geometry, One Variable Equations, Angles

1)Let's look at the diagram thoroughly

2) The 2 thing we can get are:

Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)

3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)

We can then solve for x by making the equation: 3x-22=x+10

4) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22

3x-x= 2x           10+22=32

2x=32

Divide by 2 on both sides and x=16.

5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ =  180

What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ

6) We can make an equation: x+10+74+Angle FKJ=180

Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degrees

If Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.

Hope you understood! Have a Nice Day! :D

(the stake is 14ft)

Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!

Answers

Answer:

it‘s about

32.08 ft (if its not an answer choice try 32 or anywhere near that number)

Step-by-step explanation:

SO this is a simple example of triangles

We would need to find the heigh of the flagpole which is the leg of the triangle

The other side (14ft) is the 2nd leg of the triangle

And we know the hypotenuse is 35 ft

So we put that in Pythagorean Theroux and solve for the first missing leg

a^2+14^2=35^2

a^2+196=1225

a^2=1029

√1029 is about 32.08

So its about 32.08

The measured length is 3cm. The actual length is 3.4
cm. Find the percent error

Answers

Answer:

I think it is 100

Step-by-step explanation:

2) Bob's stock gained $3.47
Monday, lost $2 Tuesday, gained
$0.32 Wednesday, lost $4.21
Thursday, and gained $0.35 Friday.
What was the change in the stock
prices this week?
I

Answers

Answer:

-2.07

Step-by-step explanation:

3.47-2+0.32-4.21+0.35

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Step-by-step explanation:

1.  D, last one.

4. C, third one.

2. C, third one.

3. B, second one.

Answer:

c

Step-by-step explanation:

just look at it agai djehbrme and I don't know how many to ft going in take be from my b to I what order of the red sexlink for the you program to and next level of the red sexlink chickens and of barred rock chickens and of the axis that have to go through a lot of different ways of life and I have emailed my parents and they got me in the goat of a job that was a great fit and was very helpful and was very good for me and I am very thankful to be able and am not seen in a way with my life in my mind and my heart that ❤ my heart ❤ ♥ is the axis that

W
Write an expression for "8 times x."

Answers

Answer:

8 X x (Bigger X stands for multiplication)

Step-by-step explanation:

8x-y or you can do it another way is fine

1. What is the smallest decimal in hundredths rounded to 0.5?​

Answers

Answer: 0.45!

Step-by-step explanation:

The smallest decimal in hundredths rounded to 0.5 is 0.45 and this can be determined by using the rules of rounding off to the nearest hundredths.

Given :

Number - 0.5

Rules for rounding off to the nearest hundredths are:

Rule 1 - When a number is rounded off to the nearest hundred remember that the digit at tens place is in between 0 to 4 then replace that digit by 0.

Rule 2 - When a number is rounded off to the nearest hundred remember that the digit at units place is greater than or equal to 5 then replaced tens place digit by 0 and hundreds place digit is increased by 1.

So, according to the rules, the smallest decimal in hundredths rounded to 0.5 is 0.45.

For more information, refer to the link given below:

https://brainly.com/question/544948

I really need help! I WILL MARK BRAINLIEST

Answers

Answer:

I can help a little y = the part your trying to find or the x which is the same thing so y = [x - 3] + 2 sorry I wasn't mush help.

Answer:

B

Step by Step Answer:

If you translate the above equation across the y-axis you will get:

[tex]y = - |x - 3|[/tex]

Distribute the negative sign into the absolute value bars and get:

[tex]y = |x + 3| [/tex]

Sharon watched 1/2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/3 of the movie left to watch. How much of the movie did Sharon watch at night?

Answers

Answer:

Movie she watch at night = 1/6 Part

Step-by-step explanation:

Given:

Watched movie in morning = 1/2

Movie Left to watch = 1/3

Find:

Movie she watch at night

Computation:

Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch

Movie she watch at night = 1 - 1/2 - 1/3

By taking L.C.M

Movie she watch at night = (6-3-2) / 6

Movie she watch at night = 1/6 Part

Evaluate the following function f(x) =-12x-23 at x=9*

Answers

Answer:

f(9) = -131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -12x - 23

x = 9

Step 2: Evaluate

Substitute:                    f(9) = -12(9) - 23Multiply:                        f(9) = -108 - 23Subtract:                       f(9) = -131
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