PLEASE HURRY, 20 POINTS
A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 feet. What is the width of the rectangle in feet? Enter your answer as a decimal in the box.

Answers

Answer 1

Answer:

[tex]2.4\text{ feet}[/tex]

Step-by-step explanation:

A rectangle's perimeter is given by the formula:

[tex]P=2(l+w)[/tex]

A rectangle's area is given by the formula:

[tex]A=lw[/tex]

We are given that they have the same numerical value. In other words:

[tex]2(l+w)=lw[/tex]

And we are also given that the length is 12 feet. So, substitute 12 for l:

[tex]2(12+w)=12w[/tex]

To solve for the width, we just need to solve for w.

On the left, distribute:

[tex]24+2w=12w[/tex]

Subtract 2w from both sides. The left side cancels:

[tex]24=10w[/tex]

Divide both sides by 10. Flip also:

[tex]w=\frac{24}{10}[/tex]

Reduce both layers. Use 2. So:

[tex]w=12/5=2.4[/tex]

So, the width is 2.4 feet.

And we're done!

Answer 2

Answer:

2.4

Step-by-step explanation:


Related Questions

A square cloth has an area of 285 square
centimeters. To the nearest centimeter, what is the
length of one side of the cloth? (Your final answer
should just be a whole number)

Answers

71-35 is the answer

solve this equation- x+3=x+3

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Write out equation

x + 3 = x + 3

Step 2: Add x to both sides

2x + 3 = 3

Step 3: Subtract 3 on both sides

2x = 0

Step 4: Divide both sides by 2

x = 0

Answer:

Step-by-step explanation:

x + 3 = x + 3

3 = 3

infinitely many solutions

Consider this polynomial equation.


Use the equation to complete this statement.
The equation has solutions. Its real solutions are .

Answers

Answer:

The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1

Step-by-step explanation:

Answer:

x = 3, -1, 2, -2

Step-by-step explanation:[tex]x^{2}[/tex]

6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0

6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0

Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule

Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.

ie: if [tex]x[/tex] = 3,

6(3-3)(3+2)(3-2)(3+1) = 0

0=0

RHS = LHS therefore true

5 degrees below zero

Answers

Answer:

5 degrees below zero = -5 degrees

5 degrees below zero would just simply be -5

combining like terms with negative coefficients and distribution
-5(3x+10)-2(4x-5) ?

Answers

Answer:

-23x-40

Step-by-step explanation:

-5(3x+10)-2(4x-5)-15x-50-8x+10-23x-40

A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)

Answers

Answer:

1.09 moles.

Step-by-step explanation:

There is 70g of water in 140ml of solution.

This means there are 17.5g of water in 35ml of solution. (Divide by 4)

In 17.5g of water, there are 17.5/16 = 1.09 moles of water.

if the perimeter of a square is 8√2, find the area of the square

Answers

Answer:

Area=128

Step-by-step explanation:

p=8[tex]\sqrt{2}[/tex]

A=p^2

put value of p

A= (8[tex]\sqrt{2}[/tex])power2

A= (8^2* [tex]\sqrt{2}[/tex]^2)

A=64 * 2             (square root of 2 will be cancel by power 2)

A= 128  

solve the inequality
4(1-x)+5(1+x)>3x-1​

Answers

Answer: x < 5

Step-by-step explanation:

4 - 4x + 5 + 5x > 3x - 1

9 + x > 3x - 1

10 > 2x

x < 5

HELP ME PLZ!!!! I'll do ANYTHING!!!

Answers

Answer: N = 11

Step-by-step explanation:

Add 8 on both sides

-10n = -110

divide -110 by -10

Answer:

n = 11

Step-by-step explanation:

-10n - 8 = -118

Add 8 to each side

-10n - 8+8 = -118+8

-10n = -110

Divide by -10

-10n/-10 = -110/-10

n = 11

find the distance between the two points rounding to the nearest tenth (if necessary)

(8,-4)and (3,8)​

Answers

The answer is 13.

STEPS:

√ (3 - 8)^2 + (8 - (-4) )^2


√ (-5)^2 + (12)^2


√ 25 + 144


√ 139


13

The distance between the given points is 13 units.

We have two coordinate points  A(8, -4) and B(3, 8).​

We have to determine the distance between these two points.

What is the formula to find the distance between the two points on Cartesian plane ?

The distance between two points -

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

According to the question, we have -

Coordinates of 1st point -  A(8, -4)

Coordinates of 2nd point -  B(3, 8)

Using the distance formula given -

d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]

d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13 units

Therefore, the distance between the given points is 13 units.

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Diamond bought a few swirl marbles and divided it equally among four of her friends and her brother, Jordan. While playing, Jordan lost 4 marbles and has only 8 marbles at present. Find how many marbles Diamond bought in all.

Answers

Answer:

45?

9 marbles x 5 (four of her friends plus jake)

Step-by-step explanation:

factorize
a²-b²-20+1​

Answers

Answer:

(a+b)(a-b)-19

Step-by-step explanation:

a²-b²

=a²-ab+ab-b²

=a(a-b)+b(a-b)

=(a+b)(a-b)

it'll be more easy to understand if u try solving it the other way(from bottom to the top)

there fore... a²-b²=(a+b)(a-b)

and -20+1=-19

so then the ans will be(a+b)(a-b)-19

Express 7.4 x 10² in standard form.


MATH​

Answers

Answer:

7.4 x 10²

7.4 *100

740

Step-by-step explanation:

10^2 = 100

7.4 × 10^2 = 7.4 × 100 = 740

Answer: 740

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles on 20 gallons of gas. What is the car's gas mileage?

Answers

Answer:

23

Step-by-step explanation:

because 460 divided by 20 is 23 so the car gets 23 mpg because 460 represents miles and 20 represents gallons of gas

The car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Gas mileage is the number of miles you can drive on a gallon of gasoline.

A test of a new car results in 460 miles on 20 gallons of gas.

Let x be the car's gas mileage.

The value of the x can be found as follows:

x = 460/20

x = 23

20 gallons of gas and 460 miles are represented by the numbers.

Thus, the car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

Learn more about the fraction here:

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5-3(5x+2)+15x
Show and explain work

Answers

Answer:

-1

Step-by-step explanation:

5-3(5x+2)+15x

Distribute

5 - 3*5x - 3*2 +15x

5 - 15x -6+15x

Combine like terms

5-6 -15x+15x

-1

Let's simplify step-by-step.
5−3(5x+2)+15x
Distribute:
=5+(−3)(5x)+(−3)(2)+15x
=5+−15x+−6+15x
Combine Like Terms:
=5+−15x+−6+15x
=(−15x+15x)+(5+−6)
=−1


what are the steps to the soultion of 2<-3X-4<5

Answers

Answer:

i have no idea

Step-by-step explanation:

no idea

Answer:

-4<x<-2

Step-by-step explanation:

The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.

You first find what x should be for -3x-4  to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.

You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.

Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.

This is why the answer to this problem is -4<x<-2.

–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4

Answers

Answer:

0

Step-by-step explanation:

Given

- 0.4(3x - 2) + [tex]\frac{2x+4}{3}[/tex] ← substitute x = 4 into the expression

= - 0.4(3(4) - 2) + [tex]\frac{2(4)+4}{3}[/tex]

= - 0.4(12 - 2) + [tex]\frac{8+4}{3}[/tex]

= - 0.4(10) + [tex]\frac{12}{3}[/tex]

= - 4 + 4 = 0

0 also thanks for putting the whole thing most people don’t so it hard to understand lol

Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.

Answers

Answer:

No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87

The amount in credit card is enough to pay 12 months gym charge.

Given that, the charge for one month  is $16.99.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Number of months = 12

Let the total charge for 12 months be x.

Now, x = 16.99×12

= $203.88

Therefore, the amount in credit card is enough to pay 12 months gym charge.

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please help me i’m not trying to fail

Answers

X is equal to 111 because you can add the romote interior angles and it will equal to 111 or add the interior angles given and subtract that from 180 and you get the ungiven interior angle and then subtract that from 180 to get the measure of x

9 = -3 + n + 2n what does n equal ?

Answers

Step-by-step explanation:

9=-3+n+2n

9+3=n+2n

12=3n

n=12/3

n=4

[tex]9 = - 3 + n + 2n[/tex]

now let's flip this equation to make things easier

[tex] - 3 + n + 2n = 9[/tex]

now move -3 to the other sidewhen we move -3 to the other side it turns into positive 3

[tex]n + 2n = 9 + 3[/tex]

now add the values on both sidesn + 2n will be equal to 3n and 9 + 3 will be equal to 12

[tex]3n = 12[/tex]

now move 3 to the other sidethe multiplication sign that binded 3 and n together will change into division when moved to the other side

[tex]n = \frac{12}{3} [/tex]

when we divide 12 and 3 we will get 4

[tex]n = 4[/tex]

so final answer is 4

hope that helps !

Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2).
What is the scale factor of the dilation?
10
9
8
7
6
5
3
2
1
3
VA
5
8 9 10 11 12 13 14 15
03
12
O 8
1/3

Answers

Answer:

3

Step-by-step explanation:

Llen's score in a video game was changed by −50 points because he missed some targets. He got −10 points for each missed target. How many targets did he miss? Allen missed targets.

Answers

Llen missed 5 targets, this is because -50 divided by -10 equals 5. Hope this helps! <3

A map has a scale of 1 inches : 10 miles. Use the given map distance to find the actual distance.





15 miles


12 miles


30 miles


39 miles

A map has a scale of 1 inch : 5 kilometers. Use the given actual distance to find the map distance.







14.4 inches


9.25 inches


68 inches


20.3 inches

Answers

Answer:

  A) inches: 1.5, 1.2, 3.0, 3.9

  B) km 72, 46.25, 340, 101.5

Step-by-step explanation:

A) To find the distance in inches, divide by 10 miles:

  15 miles ⇒ 1.5 inches

  12 miles ⇒ 1.2 inches

  30 miles ⇒ 3.0 inches

  39 miles ⇒ 3.9 inches

__

B) To find the distance in km, multiply the map distance by 5.

  14.4 in ⇒ 72 km

  9.25 in ⇒ 46.25 km

  68 in ⇒ 340 km

  20.3 in ⇒ 101.5 km

Is compare 3 >,< or =
Is compare 4 >,< or =
Please help

Answers

Answer:

First one is <

Step-by-step explanation:

Second one is =

Solve the formula for m.
e = MC^2
M=

Answers

Answer:

[tex] M = \frac{e}{C^2 } [/tex]

Step-by-step explanation:

[tex]e=MC^2 \\ \frac{e}{C^2 } = M \\ \huge \red{ \boxed{M = \frac{e}{C^2 } }}[/tex]

What is 2.4 x 10^4 covert the number into standard notation

Answers

Answer:

24000

Step-by-step explanation:

10 times 2.4 is 24 so then add three 0's.

After converting 2.4 x [tex]10^{4}[/tex] into standard notation the value will be 24000 .

Given,

2.4 x [tex]10^{4}[/tex]

Now,

Firstly calculate the value of [tex]10^{4}[/tex],

[tex]10^{4}[/tex] = 10000

Now ,

Multiply 2.4,

So

2.4 × 10000

Decimal will be shifted after four places .

So,

= 24000

Know more about standard notation,

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21x-13= 10x+31


Find uv if the value x=4

Answers

21(4)-13=10(4)+31
84-13=40+31
71=71

Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?

Answers

he can make like nine batches so ya ya ya ya ya Step-by-step explanation:

hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?

Answers

(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.

6^2 = 36

(g^4)^2 = g^8

(h^5)^2= h^10

The final answer: 36g^8h^10

Find the slope of the line parallel to the given line
y=8/3x-5

Answers

Answer:8/3

Step-by-step explanation: parallel lines have the same slope

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