The perimeter of a square is given as 24x + 20. Write two diffrerent expressions to represent the perimeter. Use factoring to write one of the expressions

Answers

Answer 1

The perimeter of a square is given as 24x + 20 and can be written as 4 ×(5x+6) and  2 × (10x+12).

The perimeter of a square is the sum of all of the 4 sides of the square. Here, the perimeter of the square is given as the function of x, for finding the length of each side of the square.

Here, in the given problem,  we can factorize the expression 20x+24 as, 4 ×(5x+6) so this is the 1st different way of writing the given expression. For another expression, we can take 2 commons from 20 x+24 that will be 2 × (10x+12).

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Related Questions

Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5

0
5

-5.
-10%
Your answer

Answers

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

What is the domain and range of √ X 2?

Answers

The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

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How do you find the sides of an isosceles triangle given the angles?

Answers

To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.

An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.

For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:

Side AB = Side BC = (Side AC) x (Sin A / Sin B)

Where A and B are the angles of the triangle and Side AC is the known side length.

Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

I need to know the andwer to 0.03 divided by 0.81 in division of decimals

Answers

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

Which of the following is correctly written in Standard Form?

Answers

Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.

An equation's definition

An equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.

Here,

Given : 4x-3y = 6

-4x + 2y =8

=> y = 4/5x + 4

=> 4/5x + 2y = 6

Thus ,

From the above following equations we get ,

4x-3y = 6

as a standard equation in all the above options.

Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.

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A bag of

.5 red marbles

.6 blue marbles

.3 green marbles

.4 black marbles

.2 yellow marbles

A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?

Answers

The number of green and black marbles will be 15 and 20 black marbles respectively.

How to illustrate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

We have the following information:

5 red marbles

6 blue marbles

3 green marbles

4 black marbles

2 yellow marbles

Total marble = 20 marbles

The number of green marbles:

= 3/20 × 100

= 15

The black marbles will be:

= 4/20 × 100

= 20

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Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2

Answers

Answer:

$42.00

Step-by-step explanation:

Interest = principle x rate x time

Interest = 300 x .07 x 2

Interest = 42

Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation. How much do Jelani and Alexis have on their subway passes now?

Answers

Answer:

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

x = 20 i.e. Alexis

And, Jelani be 40

Step-by-step explanation:

Given that

Jelani has twice as much as Alexis

And, both can added $20

Jelani will have 1.5 times as much on his pass on Alexis

We need to write an equation also the amount does Jelani and Alexis have

So,

Let us assume the alexis be x

And, Jelani be 2x

Now

x = 2x

x + 20 = 2x + 20

And,

1.5(x + 20) = 2x + 20

1.5x + 30 = 2x + 20

-0.5x = -10

x = 20 i.e. Alexis

And, Jelani be 40

3 times one number minus a second is 8 and the sum of the numbers is 12

Answers

Answer: 3x-y=8

Step-by-step explanation:

Find the value of x. Round to the nearest tenth.

Answers

Sin 21 = x/30
x = 30sin21 = 10.75 = 10.8 (to nearest tenth)

What does → mean in math?

Answers

â' in mathematics refers to the hexadecimal representation of the number 10.

What does hexadecimal notation provide for?

In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.

How is the hexadecimal notation read?

Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most

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Substitution method.
y=x - 5
y —3х – у = -3

Answers

Answer : ( 1, - 4 )

Explanation : y=x - 5

y —3х – у = -3

Step 1 : Consider the first eqaution. Subtract X from both sides.

y - x = -5

Step 2 : Consider the second eqaution. Combine y and -y to get 0 .

-3x = -3

Step 3 : Divide both sides by -3

x = -3 / -3

Step 4 : Divide -3 by -3 to get 1

x = 1

Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.

y - 1 = -5

Step 6 : Add one to both sides.

y = -5 + 1

Step 7 : Add negative 5 and one to get negative 4 .

y = -4

Therefore, the answer is ( 1, - 4 )

PLS SOMEONE HELPP I NEED THIS ASAP

Answers

The rate of change for the graph, when x=0 and x=1 is 2 units.

What is average rate of change?

This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -

[f(b)-f(a)]/b-a

The rate of change of graph is determined by the formula -

[f(b)-f(a)]/b-a

[f(1)-f(0)]/1-0

Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.

Plugging in the values -

[1-(-1)]/1

(1+1)/1

2

Therefore, the rate of change is 2 units.

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Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.

A) how many wedges did her children eat

B) how many wedges are left?

Answers

A = 27
B = 9

Total orange = 6
One orange wedge = 6
Total wedge = 6*6 = 36
36 / 4 = 9
9*3 = 27
36-27 = 9
If it is helpful t

Please answer quick! The question is in a file down below.

Answers

Answer:

perimeter= 9+9π cm

area= 40.5-10.125π cm²

Step-by-step explanation:

area of the square =9x9=81cm²

area of the two semicircles which have the same diameter =area of one circle

= (9÷2)²π =(81÷4)π

area of the whole shaded part = 81- (81÷4)π cm²

the area of each shaded part= (81-(81÷4)π)÷2

= 40.5-10.125π cm²

circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm

then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm

perimeter of each shaded part = (18+18π)÷2=

9+9π cm

Clara baked a sheet cake with a length of 0.5 meters. She covered the cake in small 1 frosting polka dots that are the length of the cake. What is the approximate 100 length of a polka dot, in meters?​

Answers

Answer:

kkuguftfhbnkmom ugvtvtv uvbuub

Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?

Answers

Answer:

$3424

Step-by-step explanation:

42800 x .08

.08 = 8%

Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2.65%. How much money is in the account after 3 years and 9 months?

Answers

Answer:

$821.2

Step-by-step explanation:

cause 2.65 percentage of 800 dollars is 800/100=8*2.65=21.2dollars.+800 =$821.2

In direct variation where y = kx, if y = 18 and x = 4, what is the value of x when y = 36 ?

Answers

Answer:

18/4x36/x

18x=4x36

18x=144

x=144/18

x=8

Answer:

x = 8

Step-by-step explanation:

Given

y = kx ← k is the constant of variation

To find k use the condition y = 18, x = 4 , then

18 = 4k ( divide both sides by 4 )

4.5 = k

y = 4.5x ← equation of variation

When y = 36, then

36 = 4.5x ( divide both sides by 4.5 )

8 = x



anyone help please?

Answers

Answer:

The transformation is a reflection over the y axis

Martin will earn $20 per hour at a new job. During training, he will earn $15 per hour. What percent of Martin’s regular hourly rate will he earn during training?

Answers

Answer:

5

Step-by-step explanation:

MATH HELP CALC

LOOK AT IMAGE

Answers

The right Riemann sum for the given function is 2.5.

Firstly, we must find the width of each of the subintervals Δx,

We know n = 4, a = 0, b = 2

∴ Δx = b - a / n

Δx =  2 - 0 / 4

Δx = 1/2

The width of each rectangle is 0.5

Next, we must find the locations of the right endpoints of the rectangles -

x1 = a + Δx(1) = 0.5

x2 = a + Δx(2) = 1

x3 = a + Δx(3) = 1.5

x4 = a + Δx(4) = 2

Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.

we can compute the right Riemann sum.

Computing the sum of the areas of the rectangles:

∑Δx f(x) =  ∑ 0.5f(xi)

= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)  

= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)

= 2.5

[tex]\int\limits^2_0 {x^{3} } \, dx[/tex]   ≈ 2.5

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Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of
Kate's pens)
10 = 5 x y
B
10 = 5 + y
c.
y = 5 x 10
D
y = 10 - 5

Answers

Answer:

The answer to this questions is A

The answer to this question is A

60 workers can complete a work in 21 days. How long will it take to complete the some work if 10 more workers were added?​

Answers

Answer:

Step-by-step explanation:

set 1 is the work, then 60 works finish 1/21 per day. [tex]\frac{1}{21*60}[/tex] is the work for per workers. so, the days for 70 workers is [tex]\frac{21*60}{70}=18[/tex] days.

it will spend 18 days to complete

6n = 21 what is the answer

Answers

Answer:

Decimal: n = 3.5

Fraction: n = 7/2

Step-by-step explanation:

6n = 21

n = 21/6

n = 7/2

n = 3.5

Answer:

3.15

Step-by-step explanation:

Divide 21 by 6

Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost

Answers

23 dollar for each book

Answer:

each book cost=222-15=207/9=22.88 dollar

A solution set always includes...

A. all the numbers that make the inequality false.

B. all the numbers that make the inequality true.

C. zero and infinity.

D. negative infinity.

Answers

I think the answer is going to be a

Answer:

A

Step-by-step explanation:

i got the same answer and got ir right

Molly bought a large basket of 60 apples.

When she got home, she found 4 rotten

ones. If she goes back and buys 200 more

apples, how many rotten apples would she

expect there to be?

Group of answer choices

20

24

13

8

Answers

Step-by-step explanation:

1. 60 apples

2. 60-4=56

3. 56+200=256

200/60

60/4

60+60=120

120+60=180

I think either 13.

The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had.

Scatter plot that has 2 through 20 for x and 1 through 10 for y.



a. Draw a scatter plot of the data. Label the axes.



b. Find an equation for a line of best fit.



c. Use your equation from part b above to predict how many rebounds a player would have if they played 30 minutes in the game.

I will give all my points to the first person that answers.

Answers

Answer:

A

Step-by-step explanation:

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