2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer 1

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)


Related Questions

At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit car

Answers

Answer:

The  final price of the smart phone if you use the store credit card is $339.5

Step-by-step explanation:

Given;

original price of the smart phone = $679

initial discount = 35%

additional discount if you use the store credit card = 15%

total discount of the smart phone if you use the store credit card

= 35% + 15% = 50%

The final price of the smart phone, if you use the store credit card is given as;

P = 0.5 X $679

P = $339.5

Therefore, the  final price of the smart phone if you use the store credit card is $339.5

pls answer I give brainliest

Answers

Answer:

16.67

166.7

1667

16670

Step-by-step explanation:

Any number to the zeroth power is 1, so the first one is 1 x 16.67, which equals to 16.67

10 to the first power is just 10, so multiply 10 x 16.67 for the second one. This equals 166.7

10 to the second power is 10 x 10 or 100, so multiply 100 x 16.67, which is 1667.

10 to the third power is 10 x 10 x 10 or 1000, so multiply 1000 x 16.67, which is 16670.

Basically, for each one, starting with 10 to the first power, move the decimal to the right one place.

Jessica is awake 2/3 of the day. She spends 5/8 of this time at home.
a) What fraction of the day is Jessica
awake at home?
b) How many hours is Jessica awake at
home?

Answers

(a) She spends 5/12 of the day awake at home

(b) She spends 10 hours awake at home

Answer:

5/12 of the day she is awake

10 hours she is awake at home

Hope this helps!

In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate

a)the coordinates of P





b)radius of the circle





c)the coordinates of C





d)the area of the circle in term of
[tex]\pi[/tex]

Answers

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

Substituting x1=-6, x2=2, y1=3, y2=-3:

[tex]\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2[/tex]

[tex]\displaystyle y_m=\frac{3-3}{2}=0[/tex]

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substituting x1=-6, x2=-2, y1=3, y2=0:

[tex]r=\sqrt{(-2+6)^2+(0-3)^2}[/tex]

[tex]r=\sqrt{4^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}=\sqrt{25}=5[/tex]

The radius of the circle is 5.

Maths question.
Solve
4(x - 1) = 2(6 - 2x)

Answers

Use distributive property
4x - 4 = 12 - 4x
8x = 16
X = 2

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4(x - 1) = 2(6 - 2x)

Step 2: Solve for x

Distribute:                              4x - 4 = 12 - 4xAdd 4x on both sides:          8x - 4 = 12Add 4 to both sides:             8x = 16Divide 8 on both sides:        x = 2

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(2 - 1) = 2(6 - 2(2))Multiply:                               4(2 - 1) = 2(6 - 4)Subtract:                              4(1) = 2(2)Multiply:                               4 = 4

Here we see that 4 does indeed equal 4.

∴ x = 2 is a solution of the equation.

if a load of bread cost 25 cents two years ago, how much does it cost now?

Answers

Answer:.80

p-by-step explanation:

6(1/4b+10) +4(9/10b+3)

Answers

Answer:

75.2

Step-by-step explanation:

6(1/4b+10) + 4(9/10b+3)

6/4b + 60 + 36/10b + 12

3/2b + 60 + 12/5b + 12

3/2b + 12/5b + 60 + 12

5b × 3 + 2b × 12/ 5b × 2b + 72

15b + 24b/10b + 72

39b/10b + 72

3.2 + 72 = 75.2

Triangle ABC has vertices A(-3, -5), B(0, 4), and C(2, 5).

Which statement about triangle ABC is true?

A. Since two of the sides have slopes that are negative reciprocals, it is a right triangle.

B. Since two of the sides are congruent, it is a right triangle.

C. Since none of the sides have slopes that are negative reciprocals, it is not a right triangle.

D. Since none of the sides are congruent, it is not a right triangle.

Answers

Answer:

D. Since none of the sides are congruent, it is not a right triangle.

Step-by-step explanation:

This is the weirdest triangle I've ever seen.

Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.

The given triangle ABC has vertices A(-3, -5), B(0, 4) and C(2, 5).

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Here, slope of AB is

m= (4+5)/(0+3)

= 3

Slope of BC is

m= (5-4)/(2-0)

= 1/2

= 0.5

Slope of CA is

m= (5+3)/(2+3)

= 8/5

= 1.6

Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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My problem is #2 but I am confused on how to draw it.​

Answers

An isosceles triangle is a triangle with 2 equal sides and 1 un equal side. So just draw a triangle with those measurements.

An isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length.

As you can see in the picture the triangles has two equal sides so it’s isosceles.

Hope this helps :D

The line of symmetry of the shape is shown by a dotted line.
Complete the drawing of the shape and
then rotate it by 180° about the origin

Answers

Answer:

hard to go without a graph see explanation

Step-by-step explanation:

from each point, count har far away it is from the dotted mirror line and then count that many in the opposite direction.

for example, the spikey point at the bottom is 3 units below the mirror line so count 3 units above the mirror line and that is where other point will be

Someone pls add me as their friend quick
Pls Pls Pls
All my points

Answers

Answer:

Ok ig

Step-by-step explanation:

Answer:

Ok ill add u as a friend

Step-by-step explanation:

but why?

When you solve an equation and you end with a TRUE STATEMENT, the solution set will be:

Answers

Answer:

false

Step-by-step explanation:

Answer:

equal

Step-by-step explanation:

3(x+2)=3x+6

3x+6=3x+6

-3x -3x

6=6

Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee , the card had a $9 remaining balance. Write an equation for A in terms of x

Answers

Answer:

A = (cost per cup of coffee * number of cups) + balance

$15

Step-by-step explanation:

Given that :

Cost per cup of coffee = $1.50

Number of cups purchased = 4

Balance on card = $9

Let A = worth of gift card

A = (cost per cup of coffee * number of cups) + balance

A = (1.50 * 4) + 9

A = 6 + 9

A = $15

What are the rules to multiplying and dividing integers. Explain using the example -9 × 3

i know how to do the problem but the question..

Answers

the rules to integers are to make sure that u have them in order and if there’s a negative like in your example the answer must result in a negative too, use PEMDAS

The amount of oil used in four different recipes is shown in the table. Recipe Oil Bread 2/8 cup Cookies 1/3 cup Cake 1/5 cup Pie 1/7 cup Which recipe uses the most oil? bread cookies cake pie

Answers

Answer:

cookie

Step-by-step explanation:

Answer: I think that the answer is cookies.

Step-by-step explanation:

The least common denominator for the fractions would be 840.

Bread: 2/8 x 105/105 = 210/840

Pie: 1/7 x 120/120 = 120/840

Cookies: 1/3 x 280/280 = 280/840

Cake: 1/5 x 168/168 = 168/840

Least to greatest:

120/840, 168/840, 210/840, 280/840

That is how I know that the cookies use the most oil.

I got this information from Calculator Soup so this isn’t all of my information.

5r-8.53 whenr =12 and s =4

Answers

Answer:

where is s. it's not in the equation you sent

I can’t see the picture

What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)

Answers

Answer:

y = 2x + b

I dont know what b is but the slope is 2 I think

While training for a race, Andre’s dad ran 12 miles in 75 minutes on a treadmill. If he runs at that rate:

How long would it take him to run 8 miles?

How far could he run in 30 minutes?

Answers

Answer:

The answer to this is 41

Step-by-step explanation:

8x4 - 28 is 0 so you have add it and them realize that's not the answer

Maria made some purchses at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If Maria uses a 20% coupon and has to pay 5.5% tax, how much will she pay in total? (Round your answer to the nearest hundredth)

Answers

Answer:

$13.25

Step-by-step explanation:

First you add everything up to get you to $15.70, then the 20% is changed to .2 which you then multiply 15.70 by .2 giving you 3.14. You then take 15.70 minus 3.14 which then gets you to 12.56. Then you take the tax of 5.5% and times $12.56 by it, giving you 69 cents, as your tax. Add those together to get 13.25, and then your finished.

Answer:

$13.25

Step-by-step explanation:

First let's add together the cost of all the items Maria bought:

3.50 + 2.25 + 9.95 = 15.70

The total cost of all the items without a coupon or tax is $15.70.

If Maria uses a 20% coupon, the value of the total cost will be 80% of its original value. So, multiply 15.7 by 0.8 to find the cost after the coupon:

15.7 * 0.8 = 12.56

The new total cost is 12.56. Now we need to find the sales tax. Multiply 12.56 by 0.055 to find the value of the sales tax:

12.56 * 0.055 = 0.6908

0.6908 rounds to 0.69. Add the cost of the sales tax to the total cost to get the final answer:

12.56 + 0.69 = 13.25

The total cost Maria will pay is $13.25

Hope this helps :)

Select the equation which represents the graph.
Question 2 options:

A: y + 3 =− 4/5(x − 2)

B: y + 3 =− 5/4(x − 2)

C: y + 1 =− 4/5(x − 3)

D: y + 1 =− 5/4(x − 3)

Answers

C, I suggest using desmos it graphs it for you and you can check the answers :)

Kyle's fencing team is selling calendars to raise money. They earn $0.40 On each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the least number of calendars they can sell and still reach their goal.

Answers

Answer:

818

Step-by-step explanation:

Amount earned per calendar = $0.40

Target amount = > $327

Least number of calendars they can sell ;

(Number of calendars * amount earned per calendar) > 327

Let number of calendars = x

0.40x > 327

x > 327/0.40

x > 817.5

Least Number of calendars they can sell is 818

what is the solution set of the above question ?

Answers

Answer:

The solution set is { } or ∅ ⇒ empty set

Step-by-step explanation:

2x + 10 < 10

→ Subtract 10 from the two sides of the inequality

∵ 2x + 10 - 10 < 10 - 10

∴ 2x < 0

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]

x < 0

∴ The solutions are all the negative numbers

x ∈ N

N is the set of Natural numbers

→ The natural numbers start at 1 and include all positive whole numbers

N = {1, 2, 3, 4, 5, ..............}

∵ N does not contain any negative numbers

∴ The solution set is an empty set ⇒ ∅

The solution set is { } or ∅

F(x)=(x+1)(x-3)(x-4)
Determine the number of x-intercepts that appear on a graph of each function

Answers

Answer:

here

Step-by-step explanation:

I also send the graph

if you want to expand i can write that too

Answer:

3

Step-by-step explanation:

just did it

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

Answers

Answer:

it's 61 mph bc when you divide 183 by 3 you get 61 which is how fast he was going

Step-by-step explanation:

Answer:

His average speed is 61

Step-by-step explanation:

183 divided by 3 is 61 which equals one hour of driving

what is the measure of <ABD​

Answers

There is no problem attached ...
Please attach the problem.

HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE solution, what's the ordered pair where your lines cross?​

Answers

Answer:

It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)

Step-by-step explanation:

The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle

(4x^2-9)/(2x^2-9x+9) / (2x+3)/(4x^2-12x)

Answers

Answer:

I attached images that should help

Answer:

2x-3

______

8x³•(x-3)

Step-by-step explanation:

LET ME EXPLAIN, THAT HOW I GET THE ANSWER

STEP 1

((4•(x2))-9)

———————————————— ÷ (2x+3) ÷ (22x2-12x)

(((2•(x2))-9)+9)

STEP 2

((4•(x2))-9)

———————————— ÷ (2x+3) ÷ (4x2-12x)

((2x2-9)+9)

STEP 3

(22x2 - 9)

—————————— ÷ (2x + 3) ÷ (4x2 - 12x)

2x2

STEP 4

4x2 - 9

Simplify ———————

2x2

MY EXPLANATION THAT HOW TO GET THE SQUARE:

Trying to factor as a Difference of Squares:

4.1 Factoring: 4x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : 9 is the square of 3

Check : x2 is the square of x1

Factorization is : (2x + 3) • (2x - 3)

4.2 Attempting Polynomial Long Division

Attempted Long division of

2x + 3

By :

2x2

Was aborted due to the followinf reason :

Divisor bigger than Dividend

THIS IS THE CONTINUATION OF MY ANSWER:

Equation at the end of step 4

(2x + 3) • (2x - 3)

——————————————————— ÷ (2x + 3) ÷ (4x2 - 12x)

2x2

STEP 5

(2x+3)•(2x-3)

Divide ————————————— by 2x+3

2x2

Canceling Out :

5.1 Cancel out (2x + 3) which appears on both sides of the fraction line.

Equation at the end of step 5

(2x - 3)

———————— ÷ (4x2 - 12x)

2x2

STEP 6

2x-3

Divide ———— by 4x2-12x

2x2

STEP 7

Pulling out like terms

7.1 Pull out like factors :

4x2 - 12x = 4x • (x - 3)

Multiplying exponential expressions :

7.2 x2 multiplied by x1 = x(2 + 1) = x3

This is the final ans:

2x - 3

—————————————

8x3 • (x - 3)

HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5​

Answers

Step-by-step explanation:

6x=2x+5

6x-2x=5

4x=5

4x/4=5/4

X=1.25

Help!!!!!!!!!!!!!!!!

Answers

Answer:

I believe it would take 2 hours.

Step-by-step explanation:

Im insanly sorry if im wrong. Have a good day and good luck!

Write a multiplication equation AND a division equation to represent this statement. * There are 12 fourths in 3.​

Answers

Division: 12/3=4

Multiplication: 12* 1/4= 3

The equation in multiplication form and division will be equal to 12/3 = 4 and 12 × 1/4 = 3.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

The given statement is: There are 12-fourths in 3.

The statement in division form will be,

= 12/3 =4

The statement in multiplication form,

Multiplication: 12 × 1/4 = 3

To know more about arithmetic operations:

https://brainly.com/question/13585407

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