The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.

Answers

Answer 1

Answer:

length is 7cm, and the width is 4cm

Step-by-step explanation:

The length of a picture frame is 1cm less than twice the width(frame is NOT a square). The area is 28cm^2. Find the length and width of the picture frame.

The area of the frame = Length * Width

A = LW

If the length of a picture frame is 1cm less than twice the width, then;

L = 2W - 1

Substitute into the formula;

A = (2W-1)W

A = 2W^2 - W

28 = 2W^2 - W

2W^2 - W - 28 = 0

2W^2 - 8W +7W- 28 = 0

2W(W-4)+7(W-4) = 0

2W+7 = 0 and W - 4 = 0

W =- -7/2 and W = 4

Width cannot be negative

W = 4cm

Since A = LW

L = A/W

L = 28/4

L = 7cm

Hence the length is 7cm, and the width is 4cm


Related Questions

4. I
Write a linear function f with f (0) = 7 and f(3) = 1.

Answers

Answer:

f(x)=

Step-by-step explanation:

Six packs of cola are on sale for 1.50. If a customer buys a 24 pack what is the total charge including8%

Answers

Answer:

The total would be $38.88

Step-by-step explanation:

First I did 1.50 • 24 = 36

Then I did 36 + 8% = 38.88

Hope this helps

Also can I get brainliest :)

Parker grew
2 1/2 inches each year for the past 3 years. How many inches total has Parker grown in the past 3
years?

Answers

Answer:

it will be 7 and 1/2

Step-by-step explanation:

2 and 1/2 x 3=7 and 1/2

Deron recorded his heart rate as 204 beats in 3 minutes. What is the unit rate in beats per minute?

Answers

Answer: to solve this you can make a proportion.

264 x

---- = ----

3 1

to solve, cross multiply and divde

264 times 1 is 1. 264 divided by 3 is 88. the unit rate is 88 beats in one minute

Step-by-step explanation:

Deron's heart beat rate per minute is 64 beats/min.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Deron recorded his heart rate as 204 beats in 3 minutes.

∴ How many times his heart beats in one minute or the unit rate in beats per minute can be obtained if we divide the total no. of beats by total no. of minutes which is,

= (204/3) beats per minute.

= 68 beats per minute.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

adding fractions with unlike denominators

Answers

Answer:

A

Step-by-step explanation:

The answer is freaking A bOi

A boy weighs x pounds. His younger sister weighs 53 pounds less than him. His father weighs four times as much as his sister. A simplified expression that represents the fathers weight (in pounds) is (blank -blank)

Answers

Answer:

4x-53

Step-by-step explanation:

Boy=x

sis = x-53

father = 4x-53


- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are
both.
How many cars are just blue ?
How many cars are neither blue or red?

Answers

Answer:

56

Step-by-step explanation:

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. *

Answers

answer: is 34

Step-by-step explanation:M=50 so $0.35-50

En una tienda se anuncia la rebaja de 20% en todos sus artículos. Rafael elije una camisa y al llegar a la caja le informan que esa camisa, por traer etiqueta roja, cuenta con un descuento adicional del 15%. Si Rafael pago $510.00, ¿cual era él precio de la camisa sin los descuentos?

Answers

9514 1404 393

Answer:

  $750

Step-by-step explanation:

The 20% discount multiplies the price by (1 - 20%) = 0.80.

The 15% discount multiplies the price by (1 - 15%) = 0.85.

After applying the discounts to the initial price P, we have ...

  P(0.80)(0.85) = $510

  P = $510/(0.80·0.85) = $750

The price before discounts was $750.

How can I use a model to solve 1.4 divided by 4?

Answers

Answer: 0.35

Step-by-step explanation:

Find the domain and range of the relation of 6,5, -13, 1, -4,2, -5, 23, -10, -5

Answers

Answer:

[tex]Range = \{5,1,2,23,-5\}[/tex]

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

Step-by-step explanation:

Given

[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]

Required

Determine the domain and range

A relation has the following format:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]

The range of the relation are:

[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]

While the domain are:

[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]

Using this analysis, the domain of the relation is:

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

and the Range is

[tex]Range = \{5,1,2,23,-5\}[/tex]

Can some please help me! No one has helped me out yet, please do this is you can

Answers

Answer:

Please check the explanation below.

Step-by-step explanation:

We know that a binary relation between two sets is termed as a function which associates every element of the first set to exactly one element of the second set.

In other words, in order for relation to be a function, we must make sure there must be no repetition of 'x' coordinate values, as it would violate the fundamental definition of a function.

A) (2, 5), (5, 7), (7, 9)

Here, the x-coordinates are: 2, 5, and 7

At x = 2, y = 5

At x = 5, y = 7

At x = 7, y = 9

As there is no repetition of x-coordinates.

Thus, the coordinate pairs (2, 5), (5, 7), (7, 9) represent the function.

B) (2, 3), (1, 4), (2, 8),(0, 1)

Here, the x-coordinates are: 2, 1, 2 and 0

At x = 2, y = 3

At x = 1, y = 4

At x = 2, y = 8

At x = 0, y = 1

Please observe that the x-coordinate values i.e. x=2 are repeated.

Thus, the coordinate pairs (2, 3), (1, 4), (2, 8),(0, 1) does not represent the function.

C) (4, 8), (5, 8), (6, 8)

Here, the x-coordinates are: 4,5 and 6

At x = 4, y = 8

At x = 5, y = 8

At x = 6, y = 8

As there is no repetition of x-coordinates.

Thus, the coordinate pairs (4, 8), (5, 8), (6, 8) represent the function.

Please note that it does not matter if y-values are repeated. Just remember, we can not have repeated x-values.

D) (-1, 4), (0, -1), (8, 3)

Here, the x-coordinates are: -1, 0, and 8

At x = -1, y = 4

At x = 0, y = -1

At x = 8, y = 3

As there is no repetition of x-coordinates.

Thus, the coordinate pairs (-1, 4), (0, -1), (8, 3) represent the function.

E) (1, 8), (8, 1), (1, 3)

Here, the x-coordinates are: 1, 8, and 1

At x = 1, y = 8

At x = 8, y = 1

At x = 1, y = 3

Please observe that the x-coordinate values i.e. x=1 are repeated.

Thus, the coordinate pairs (1, 8), (8, 1), (1, 3) does not represent the function.

F) (9, 0), (9, 1), (9, 2), (9, 3)

Here, the x-coordinates are: 9, 9,9 and 9

At x = 9, y = 0

At x = 9, y = 1

At x = 9, y = 2

At x = 9, y = 3

Please observe that the x-coordinate values i.e. x=9are repeated.

Thus, the coordinate pairs (9, 0), (9, 1), (9, 2), (9, 3) does not represent the function.

3x + 2(4 + 6x) = 113

Explain what you did in each step of your solution.

Answers

PEMDAS (parenthesis, exponents, multiplication, division, addition, subraction)

Answer:

x = 7

Step-by-step explanation:

So first, multiply everything inside the (   ) by 2

So then, the equation will look like this: 3x + 8 + 12x = 113

Then, combine like terms, which leave the equation to look like this:

15x + 8 = 113

Then subtract 8 from both sides, leaving the equation like this : 15x = 105

Last step, divide both sides by 15, which leave you with x = 7

9c + 1 = 10 what is the answer the algebra way?

Answers

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

The side of a square is measured to be 10ft with a possible error of plus/minus 0.1ft. Use linear approximation or differentials to estimate the error in the calculated area. Include units in your answer.

Answers

Answer:

±2∧

Step-by-step explanation:

x=10ft dx=±0.1

area y=x²

dy=2xdx

when x=10

dy=2×10×(±0.1)=±2

error in area=±2

Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper. He says he has a ratio of boxes to dr. Pepper that is 6 to 3. How is he wrong



It has to do with ratios if that helps ‍♀️

Answers

Answer:

He is wrong

Step-by-step explanation:

In the beginning of the question it says,"Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper" and whatever comes first either its a ratio, fraction ect; the number in the question that comes first always comes first in anything.

Rewrite with only sin x and cos x.

cos 2x + sin x

1 + 3 sin x
1 + 3 sin2x
1 - 2 sin2x + sin x
1 + 2 sin2x + sin x

Answers

Answer:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

Step-by-step explanation:

I believe you meant to write the answer with only sin(x).

Use the double angle identity for the cos(2x) as shown below:

[tex]cos(2x) = cos^2(x)- sin^2(x)\\since \\cos^2(x) = 1-sin^2(x)\\then:\\cos(2x) = 1-sin^2(x)- sin^2(x)\\cos(2x)=1 - 2\,sin^2(x)[/tex]

Now we use this identity in the original expression to get:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

PLZZZ HELP GIVING BRAINLIST Match each expression to its value.

1. 7 - 5
-2
2. -7 + 5
2
3. -7 - 5
12
4. 7 - (-5)
-12

Answers

Answer:

1. 0

2. 5  

3. 0.416666667

4.0

1. 2
2. -2
3. -12
4. 12

how many solutions are in -2x+3 = -2x+3

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

If the two equations are the same (as they are here), the amount of solutions would be infinite. I hope this helps!

What is the first step to solve the following system of equations using substitution?
X-y=-1
2x-y=3

Answers

Answer: Add to both sides

Step-by-step explanation:

solve for y in the first equation

Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers separated by commas.​

Answers

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.

What is the least common denominator of 7/12, 7/15, and 7/24?

Answers

Answer:

120

Step-by-step explanation:

the amount of sod needed to cover the circular green on a golf course?

Answers

Answer:

you would need just over 261 pounds of seed for 1 acre.

Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.

what is the slope of the line if it is y=4x+12

*30 points*

Answers

Use format: y = mx + b
m = slope
Y = 4x + 12
The slope is 4

"Nine more than three times a number is negative six"

what is the answer?​

Answers

I'm sorry I have No clue

Step-by-step explanation:

lol but I honestly d0n7 kno

what number is 386 more than the sum of 345 and 425

Answers

I think it is 1156 because 345 + 425 = 770, and 770 + 386 = 1156

Help me and you will be so nice here in a picture

Answers

Answer:

Option 4 or the last one.

Step-by-step explanation:

$60 and free shipping, which costs $60. 15% off but $10 for shipping

which is $61. 1/10 discount but $5 which costs $59

so the cheapest is $49, for Store Z.

Hope this helps :D

#Team Rainbows~

Which expression is equivalent to 3(x+4)? O A. 3x + 4x O B. 3 + x + 4 O C. 3x+4 O D. 3x + 12​

Answers

Answer:

D.

Step-by-step explanation:

Multiply what's inside the parentheses by 3 to get the answer. 3x+12

Answer:

D. 3x+12

Step-by-step explanation:

3(x+4)

3*x=3x

3*4=12

3x+12

b) Fact: 23-14
Strategy: "Compensation"

Answers

Uhh 9? I’m confused sorry if it’s wrong not hate please

Yuki works at a garden store. She is stacking 40-pound bags of soil. Write an equation that gives the total weight, w, of the soil in pounds when yuki stacks b bags.

Answers

The answer is w=40b Answer:

Step-by-step explanation:

Answer:200

Step-by-step explanation:

w=40b

=40(5)

=200

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