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.

Answer:

7056

Step-by-step explanation:

the volume of the box is 7056.  

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

Answer: B=1

Step-by-step explanation:

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 :)

Answer:

y=3x-9

Step-by-step explanation:

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.

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:

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Answer:

They equal 360 degrees.

Step-by-step explanation:

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

P(A|B) = 1/3

"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. "

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

For event A, the probability of event A is,

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

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

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

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Answer:

D

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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

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

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.

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

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

Answer:

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

Answer:

3.1536×10^6

I hope this helps!

Answer:

-5

1

4

2.5

4

Step-by-step explanation:

You need to include the question not just the explanation.

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.

Answer:

86-49. 86-49= 37

Step-by-step explanation:

you add 69+5+12=86

then you subtract 49

and get 37

Answer:

7390

Step-by-step explanation:

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

Answer:

the answer is 200

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

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

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.