The length of a rectangle is twice as great as its width. When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches. Show an equation to find the length and width of the original rectangle. Solve the equation and give the original length and width.

Answers

Answer 1

Answer:

Original rectangle

Length = 20 inches

Width = 10 inches

Step-by-step explanation:

Let

Original rectangle

Width = x

Length = 2x

When both the width and length are increased by 5 inches, the new rectangle has perimeter of 80 inches

New rectangle

Width = x + 5

Length = 2x + 5

Perimeter = 80 inches

Perimeter of a rectangle = 2(length + Width)

80 = 2{(x+5) + (2x+5)}

80 = 2( x + 5 + 2x + 5)

80 = 2(3x + 10)

80 = 6x + 20

80 - 20 = 6x

60 = 6x

x = 60 / 6

= 10

x = 10 inches

The length and width of the original rectangle

Width = x

= 10 inches

Length = 2x

= 2(10)

= 20 inches


Related Questions

can someone find the x for these
5x-14=8x+4
x-1=5x+3x-8
5x+34=-2(1-7x)
2(4x-3)-8=4+2x
-3(4x+3)+4(6x+1)=43

Answers

Answer:

-5

1

4

2.5

4

Step-by-step explanation:

For the first one, I got x = 3.33

Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.

Answers

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6

Step-by-step explanation:

Find the complete question in the comment section.

Given the equation 2x+6y=12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts.

If he buys 3pounds of granola, and he need to get amount of walnut, he should have substituted x = 3 into the expression to get y as shown:

[tex]2x+6y=12\\2(3)+6y=12\\6+6y = 12\\subtract\ 6 \ from \ both \ sides \\6+6y-6 = 12-6\\6y = 6\\y = \frac{6}{6}\\ y = 1[/tex]

Comparing the calculation with Tomas's, we can see that Tomas added 6 to both sides of the equation on line 3 instead of subtracting 6 from both sides of the equation. This was Tomas first error.

Answer:

Tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation: Took test

What do you notice about the sum of the interior angles for a quadrilateral?

Help

Answers

Answer:

They equal 360 degrees.

Step-by-step explanation:

eduardo has 24$ saved . if he saves 8$ each week how much money will he in 5 weeks .

Answers

Answer:

is you are not adding in the 24 then 40 if you are adding in the 24 then 64

Step-by-step explanation:

Select each inequality that 0 is a solution to. Q No. 2



-3(y - 1) > 3


2y - 4 0


y + 8 < 2y + 8

Answers

Answer:

Can you reformat?

So far, 0 is a solution to none of these.

Answer:

1. nope

2. not sure

3. nope

Step-by-step explanation:

1.

-3(y - 1) > 3

-3y + 3 > 3

-3y > 0

y > 0

0 is not a solution since 0 is not greater than 0

2.

I'm not sure what this question means, is there a [tex]\geq or \leq[/tex] between the 4 and the 0?

3.

y + 8 < 2y + 8

8 < 2y - y + 8

8 - 8 < y

0 < y

0 is not a solution because 0 is not greater than 0

im confused- I prolly got something wrong.

Simplify the following expression:
69 + 12 - 49 + 5

Answers

Answer:

86-49. 86-49= 37

Step-by-step explanation:

you add 69+5+12=86

then you subtract 49

and get 37

it should be 37..... min

help me pleaseee :( im almost finished

Answers

Answer: B=1

Step-by-step explanation:

PLEASE HELP! A store receives a shipment of boxes. Each box measures 18 in. wide, 28} in. long, and 14 in. high. What is the volume of each box? ​

Answers

Answer:

7056

Step-by-step explanation:

the volume of the box is 7056.  

Ashley practiced the piano for 41
minutes. She practiced 13 minutes
I less than her brother did. Write and
solve an equation to determine how
long her brother practiced the piano.

Answers

Answer:

41+13=54 so Ashleys brother practiced the piano for 51 minutes

Step-by-step explanation:

HELP ASAP! PLEASE!

What relationship between the population of Ohio and the number of years displayed in the scatter plot

Answers

Answer:

The number line has to be shown in a picture if you want more specific instructions from others.

Step-by-step explanation:

Show a picture

There are 3,153,600 seconds in a year. How can you write this number in scientific notation?

Answers

Answer:

3.1536×10^6

I hope this helps!

Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?

Answers

show the answers you have to choose from

P(A|B) = 1/3

What is Venn diagram?

"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "

What is probability?

"For any experiment, a probability denotes the possibility of outcome for any event."

The formula to calculate the probability of an event:

For event A, the probability of event A is,

P(A) = number of favorable outcomes/ total umber of outcomes

What is conditional probability?

"Conditional probability is the probability of an event occurring given that another event has already occurred."

The formula to calculate the conditional probability:

P(A|B) = P(A∩B)÷P(B)

For given diagram:

Let A represents a set of students playing Basketball and B represents a set of students playing Soccer

So, A = {Fran, Ian, Juan, Ella}

⇒ n(A) = 4

B = {Mickey, Marcus, Ella}

⇒ n(B) = 3

(A ∩ B) = {Ella}

⇒ n(A ∩ B) = 1

sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}

⇒ n(S) = 10

Now, we calculate probability of B and A∩B.

P(B) = n(B)/n(S)

P(B) = 3/10

Also, P(A∩B) = n(A∩B) / n(S)

P(A∩B) = 1/10

So, the required probability would be,

⇒ P(A|B) = P(A∩B) ÷ P(B)

⇒ P(A|B) = (1/10) ÷ (3/10)

P(A|B) = 1/3

Therefore, P(A|B) = 1/3

Learn more about probability here:

https://brainly.com/question/12478394

#SPJ2

12 hours and 19 minutes multiplied by 10

Answers

Answer:

7390

Step-by-step explanation:

there are 720 mins in 12 hours plus the 19 mins is 739 times 10 is 7390

A student organization sells shirts to raise money for events and activities. The shirts are printed with the organization's logo and the total costs are $100 plus $7 for each shirt, x. The students sell the shirts for $15 each.


Write an expression for the cost AND an expression for the revenue (money earned). Then evaluate for the specified number of shirts.




Solution

Write the expression in the order of the problem.


Cost Expression: Answer

(View hint)


Revenue (Money Earned) Expression: Answer

(View hint)


How much would it cost to make 25 shirts?


$ Answer


How much would students earn if they sold 25 shirts?


$ Answer


Will students make more money than they spent if they make and sell exactly 25 shirts?

Answers

Answer:

The answer is below

Step-by-step explanation:

The total cost for producing x number of shirts = 100 + 7x

The price of each shirt is $15, therefore:

Revenue = price per shirt × number of shirts = 15 × x = 15x

Revenue = 15x

The cost of making 25 shirts is given as:

Cost = 100 + 7x = 100 + 7(25) = $275

The money earned from producing 25 shirts is given as:

Revenue = 15x = 15(25) = $375

Since the revenue is greater than cost, the students would make more money than they spent if they make and sell exactly 25 shirts

Mrs. mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per uniform. The second company she called charges $280 plus $30 per uniform. For how many uniforms will the cost from the first company be less expensive than the cost from the second company?

Answers

The correct answer is yes

this half my grade i cant fail help

Answers

Let's see what to do buddy....

[tex]T = b + \frac{d}{2f} \\ [/tex]

Subtract sides b

[tex]T - b = b - b + \frac{d}{2f} \\ [/tex]

Simplification

[tex]T - b = \frac{d}{2f} \\ [/tex]

Multiply sides by 2f

[tex](T - b)(2f) = d[/tex]

So ;

[tex]d =( T - b) \times (2f)[/tex]

We're done but i wanna go one step more...

[tex]d = T \times 2f - b \times 2f[/tex]

[tex]d = 2Tf - 2bf[/tex]

_________________________________

Hope helped buddy....♥️♥️♥️♥️♥️

Good luck :)

PLEASE HELP
Write a word problem with the numbers -3 and 6 that result in -9

Answers

Answer:

6+-3 =-9

Step-by-step explanation:

so if u add a positive number to a negative number the whole answer  is a negative number i

I NEED HELP ASAP.

A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?​

Answers

Answer:

8,520,000

Step-by-step explanation:

hope it help

Step-by-step explanation:

factory manufactures 71*10^5 bottles of ketchup per month.

In a year:

71*10^5*12=71*12*10^5=852*10^5=852*100000=

85200000 bottles of ketchup in a year.

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.

Answers

Answer:

y=3x-9

Step-by-step explanation:

1
2
01.49.15
Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the
solution set of this problem?
X<-5
O x>-5
O x>-1
O XC-1

Answers

9514 1404 393

Answer:

  x > -5

Step-by-step explanation:

  (2/5)(x -1) < (3/5)(x +1) . . . . . given

  2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5

  2x -2 < 3x +3 . . . . . . . . . . .  eliminate parentheses

  -5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides

This matches the second answer choice: x > -5.

5% of a number is 23
1% of the same number is 4.6
Work out 16% of the number

Answers

The answer fam is.......... 73.6

A botanist found that 40% of the leaves in a sample of 600 leaves were healthy. How many leaves were in the sample?

Answers

240 leaves were healthy. Hope this helps. :)

The square of 356 is 126,736 and the square of 357 is 127,449. What is 3582? Try to solve this problem without multiplying. Show your work.

Answers

Answer:

The problem to get 358² is solved by adding 357 twice and then add 1 to the value of 357²

Step-by-step explanation:

The given information are;

The square of 356 = 126,736

The square of 357 = 127,449

We note that 357² = (356 + 1)² = 356² + 2×356 + 1 = 126,763 + 712 + 1 = 127,449

We can write the above equation as follows;

357² = (356 + 1)² = 356² + 356 + 356 + 1 = 126,763 + 712 + 1 = 127,449

357² = 127,449

Similarly, we have;

358² = (357 + 1)² = 357² + 357 + 357 + 1 = 128,164

358² =  128,164

We can also look at the question as forming squares with tiles

To form the square tile with 358 units per side, we add an extra row and column of 357 tiles each. Completing the figure with an extra tile at the top right or left corner

Therefore, the area of the 358 unit per side square = The area of the 357 unit per side + 357 + 357 + 1 =  128,164

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Answers

You need to include the question not just the explanation.

Q. If the vertex of a parabola is (3,5), what is the axis of symmetry?
answer choices
y=5
x=5
x=3
There is not enough information provided.

Answers

Answer:

x=5

Step-by-step explanation:

The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We know the vertex form of the parabola is:

y = a(x - h)² + k

Given,

h = 3

k = 5

y = a(x - 3)² + 5

The axis of symmetry:

x - 3 =0

x = 3

Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Can someone provide an explanation with this and solve it?

Answers

Answer:

I believe 600

Step-by-step explanation:

20% = 0.2

so multiply the 500 by 0.2

500×0.2= 100

then add 100 to the 500 because its an increase

500+100=600

and then you have your answer

600

I only got two so far...

Answers

Answer:NML iscocilese triangle

Step-by-step explanation:

Answer:

right angle, obtuse angle and straight angle

Step-by-step explanation:

i hope this is what you mean sry if it didn't help

can someone help me with this?

Answers

Answer:

the answer is 200

Step-by-step explanation:

I forgot how to do these equations and I need help please.

Answers

Answer:

D

Step-by-step explanation:

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