a rectangular doorway has a temporary support beam across its diagonal. the height of the doorway is 2 times its width. if the beam across the diagonal is 14 feet, how wide is the door?

Answer:

$15.02

Step-by-step explanation:

Given data

Total cost= $16

tax= 6.5%

let the actual cost of the slippers be x

6.5/100*x+ x= 16

0.065x+x= 16

1.065x= 16

divide both sides by 1.065

x= 16/1.065

x= 15.02

Hence the actual cost of the slippers is $15.02

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As [tex]Time = \frac{Distance }{Speed}[/tex]

⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = [tex]\frac{1}{2x}[/tex]

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  [tex]\frac{3}{2}[/tex] (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = [tex]\frac{1}{3x}[/tex]

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = [tex]\frac{1}{x}[/tex] +  [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]

                                = [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]

If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = [tex]\frac{11}{6} x[/tex]

⇒[tex]x - \frac{11}{6} x = -10[/tex]

⇒[tex]-\frac{5}{6}x = -10[/tex]

⇒x = [tex]\frac{60}{5}[/tex] = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min

Answer:

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

The two digit number is equivalent to 24.

Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.

Let the number be {A}. Then, we can write -

A = 10x + y                             ......... (1)

also

A = 4(x + y)                            ........... (2)

The units digit is two more than the tens digit, so we can write -

y = x + 2                               .............. (3)

So, we can write -

10x + y = 4(x + y)

10x + (x + 2) = 4(x + x + 2)

11x + 2 = 8x + 8

3x = 6

x = 2

So, we can write {y} as -

y = 4

Number will be -

10 x 2 + 4

n = 24

Therefore, the number will be equivalent to 24.

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Answer:

4.33 i think im not to sure

Step-by-step explanation:

math

Answer:

729

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  15

Step-by-step explanation:

Each of the marked angles is an exterior angle of the polygon. The sum of exterior angles is always 360°. We can use that fact to write the equation.

  4x° +77° +59° +6x° +74° = 360° . . . . . an equation to find x

  10x + 210 = 360 . . . . . . . . . . . . . . divide by °, collect terms

  x + 21 = 36 . . . . . . . . . . . . . . . divide by 10

  x = 15 .  . . . . . . . . . . . . . . subtract 21

_____

Comment on the sum of exterior angles

Imagine the figure shrunk smaller and smaller until all of the angle vertices are the same point. You can see that those angles will completely fill the angular space around that central point, so they must have a sum of 360°.

Answer:

6. >

7. <

8. <

9. <

10. <

all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases

Answer:

220.00

-185.00

= 35.00 the difference of what was paid at the same prices.

Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2

Answer:

3

Step-by-step explanation:

√7a-10 - √2a+5=0

√7a-10 = √2a+5

7a-10 = 2a+5

5a = 15

a = 3

Answer:

to convert an improper fraction to a mixed fraction, follow these steps:

-divide the numerator by the denominator.

-write down the whole number answer.

-then write down any remainder above the denominator.

Step-by-step explanation:

Answer:

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the other fraction.

Example: 46/17

46/17= 2 r 12

2 is the whole number, and 12/17 is the fraction next to it.

Answer:

hexagon, regular polygon

Answer:

A

Step-by-step explanation:

because an equation has to have a = in it and A is the only one with two answers with =

Answer:67.5

Step-by-step explanation:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Answer:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.55*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

140 by 100

cutting methord

cut the zeros, then divide by 2.

The solution for the system of equations is (1, 4).

The graph is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Two equations:

y = 3x + 1

y = -x + 5

The point of intersection.

3x + 1 = -x + 5

3x + x = 5 - 1

4x = 4

x = 1

And,

y = 3x + 1 = 3 + 1 = 4

or

y = -x + 5 = -1 + 5 = 4

Now,

The graph is given below.

Thus,

The solution is (1, 4).

The graph is given below.

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Answer:

3.6

Step-by-step explanation:

each piece weighs 3.6 ounces

Answer:

3.6

Step-by-step explanation:

28.8/w=8

8w=28.8

w=28.8/8

w=3.6

the answer is on the pictures

sorry if their wrong

x=1/2 (or 1)

y=3/4

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

AP EX

Step-by-step explanation:

Responder:

300 €

Explicación paso a paso:

Dado que:

El peso del paquete de 5 kg enviado a una distancia de 60 km es de 9 €

Tomando el producto:

5 * 60 = 9 €

300 kgkm = 9 €

1 kg · km = 9/300 €

= 0,03 €

Para un paquete de 50 kg, enviado a una distancia de 200 km:

50 * 200 = 10000 kgkm

Costo de envío de paquete:

Precio por kgkm = 0,03 €

10000 * 0,03 € = 300 €

Answer:

432

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8x² + 5x + 5

x = 7

Step 2: Evaluate

[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]

Hope this helps.

Answer:

5.7

Step-by-step explanation:

Im not so sure if this is the correct answer but i hope if helps! <3

The solution is Option C.

The number of ways 3 positions can be filled by the 12 students is given by combinations where ¹²C₃ = ( 12 x 11 x 10 ) / 3 x 2 x 1

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of students n = 12 students

The number of positions in the council x = 3 positions

So , the number of ways the 3 positions can be filled by 12 students is calculated by combinations

where n = 12 and x = 3

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

¹²C₃ = ( 12! / ( 12 - 3 )! 3! )

On simplifying the equation , we get

¹²C₃ = ( 12! / 9! 3! )

And ,

¹²C₃ = ( 12 x 11 x 10 x 9! / 9! 3! )

¹²C₃ = ( 12 x 11 x 10 ) / 3!

¹²C₃ = ( 12 x 11 x 10 / 3 x 2 x 1 )

¹²C₃ = 220 ways

Hence , the number of ways the 3 positions can be filled by the 12 students is 220 ways

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Answer: 1/15

Step-by-step explanation:

An hour is 60 minutes.  Thus, simply do 60/4 to get 15, and that the fraction is 1/15.

Hope it helps <3 :)

Answer:

1/15

Step-by-step explanation:

1 hour = 60 minutes

[tex]\frac{4}{60}=\frac{1}{15}[/tex]

Answer:

8,20,32

Step-by-step explanation:

8

20

32

You would do 2 x 4 and so on

Answer:

8,20,32

Step-by-step explanation:

multiply 4 times each number in the x section