368 Divided By 216,016

9514 1404 393

Answer:

  65 feet

Step-by-step explanation:

The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.

The perimeter of a rectangle is given by the formula ...

  P = 2(L+W)

For Aubrey's 12' × 8' room, the perimeter is ...

  P = 2(12' +8') = 40'

This is the length of the border Aubrey needs at the ceiling.

__

At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...

  3' + 4' + 3' + 5' = 15'

So, the waist-high border is 40' -15' = 25'.

__

The total amount of border Aubrey needs is ...

  ceiling border + waist-high border = 40' + 25' = 65'.

Aubrey needs 65 feet of border.

Using complex numbers, it is found that the correct option regarding the expression is:

a. Greater than 1.

Complex numbers are numbers that have a real and an imaginary part, and are modeled by:

[tex]z = a + bi[/tex]

In which:

The magnitude of the number is:

[tex]|z| = \sqrt{a^2 + b^2}[/tex]

In this problem, the number is:

[tex](0.7 + 0.7i)n[/tex]

The smallest possible value is n = 4, hence:

[tex]z = 1.4 + 1.4i[/tex]

And the magnitude is:

[tex]\sqrt{1.4^2 + 1.4^2} = 1.98[/tex]

Which is greater than 1, hence option a is correct.

You can learn more about complex numbers at https://brainly.com/question/25572463

Answer: it’s b

Step-by-step explanation: the answer is .98 which is less than 1

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{27}[/tex] + [tex]\sqrt{48}[/tex] - [tex]\sqrt{12}[/tex]

= 3[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex]

= 5[tex]\sqrt{3}[/tex]

Answer:

[tex] \sqrt{27} + \sqrt{48} - \sqrt{12} \\ \sqrt{3 \times 3 \times 3} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} - \sqrt{2 \times 2 \times 3} \\ 3 \sqrt{3} + 4 \sqrt{3} - 2 \sqrt{3} \\ 7 \sqrt{3} - 2 \sqrt{3} \\ \boxed{5 \sqrt{3}} [/tex]

Answer:

[tex](cosA +1)(cosA +2)[/tex]

Step-by-step explanation:

[tex]cos^2(A)+3cos(A)+2[/tex]

Which number add up to 3 and multiply to 2?

That would be 1 and 2.

[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]

Answer:

Given

△ABC and △CDE are equilateral.

AE

= 25

To find perimeters of the two triangles,

Let us consider the lengths of

AC

and

CE

to be

′

x

′

and

′

y respectively.

As △ABC is equilateral,

AC

=

AB

=

BC

= x

As △CDE is equilateral,

CE

=

CD

=

DE

= y

From the figure,

AE

=

AC

+

CE

25 = x + y

x + y = 25

Perimeter of the triangle is the sum of all sides of the triangle.

For △ABC,

Perimeter of △ABC =

AC

+

AB

+

BC

= x + x + x

= 3x

For △CDE,

Perimeter of △CDE =

CE

+

CD

+

DE

= y + y + y

= 3y

Now,

Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE

= 3x + 3y

= 3 × (x + y)

= 3 × 25 (from above)

= 75

Therefore, Perimeter of the two triangles is'75′units.

Step-by-step explanation:

Hope it is helpful...

Answer:

747.84

Step-by-step explanation:

change the percent to a decimal 1.52 then multiply by 494

1.52×494=747.84

Answer:

21 laps per hour

Step-by-step explanation:

2/3 = 20/30

20/30 × 2 = 40/60

1 and 2/3 = 1 hour 40 mins

60 + 40 = 100 mins

35 (laps) = 100 (mins)

÷10

3.5 = 10

×6

21 = 60

21 laps in 1 hour

so 21 laps per hour

Answer:

x = -1/7

y = 6/7

Step-by-step explanation:

factor a 5 out of the first equation to work with smaller numbers:

y - 8x = 2

let y = -6x (derived from the second equation)

substitute:  -6x - 8x = 2

-14x = 2

x = -2/14 or -1/7

find 'y':  y - 8(-1/7) = 2

             y + 8/7 = 14/7

              y = 6/7

Answer:

x = -1/7, y = 6/7

System: [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex]

Step-by-step explanation:

The system of equations would be [tex]\left \{ {{5y-40x=10} \atop {y+6x=0}} \right.[/tex].

To find out what x and y are, choose one of the equation and solve for y. Then, substitute the result for y into the other equation.

5y - 40x = 10 (Add 40x to both sides)

5y = 40x + 10 (Divide both sides by 5)

y = 1/5(40x + 10) (Multiply 40x + 10 by 1/5)

y = 8x + 2 (Substitute this for y in the other equation.)

8x + 2 + 6x = 0 (Add 8x to 6x)

14x + 2 = 0 (Subtract 2 from both sides)

14x = -2 (Divide both sides by 14)

x = -1/7 (Substitute this for x in the y = 8x + 2)

y = 8(-1/7) + 2 (Multiply -1/7 by 8)

y = -8/7 + 2 (Convert 2 into 14/7; show as a single fraction)

y = (-8 + 14)/7 (Add -8 and 14)

y = 6/7 (The system is solved)

Answer:

Class 7A collected 4.8 ounces of pure gold.

Step-by-step explanation:

Key skills required are: Percentages, Multiplication

Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.

Do 0.12 x 40 and you will get 4.8

Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand

Answer:

is the any options?

Step-by-step explanation:

Answer:

300 is a rational number because it can be expressed as the quotient of two integers: 300 ÷ 1.

Step-by-step explanation:

The number [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] as a quotient of integers to show that it is rational.

A rational number is a number of the form [tex]\frac{p}{q}[/tex], where [tex]q \ne0[/tex] and [tex]p[/tex] and [tex]q[/tex] must be co-primes.

To write a number in the form of quotient of integer, we write it as [tex]\frac{p}{q}[/tex], where [tex]q \neq 0[/tex].

Here, [tex]300[/tex] can be written as [tex]\frac{300}{1}[/tex] or [tex]\frac{600}{2}[/tex]or [tex]\frac{900}{3}.[/tex]

But we should also take care that [tex]p[/tex] and [tex]q[/tex] must be co-primes.

Co-primes are the pairs of numbers that have only one common factor which is [tex]1[/tex].

So, [tex]300[/tex] can be written as [tex]\frac{300}{1}.[/tex]

Learn more here:

https://brainly.com/question/20435423?referrer=searchResults

Answer:

2\10

Step-by-step explanation:

1\2 = 5\10

7\10 - 2\10 = 5\10

Answer:

[tex]\frac{111}{190}[/tex]

Step-by-step explanation:

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability that the two biscuits were not the same type is 111/190.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of total biscuits = 20

Number of plain biscuits = 12

Number of chocolate biscuits = 5

Number of current biscuits = 3

The probability that two randomly chosen biscuits were not the same type.

= [tex]^{12}C_1 \times ^5C_1[/tex] /  [tex]^{20}C_2[/tex]  +  [tex]^{12}C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex] + [tex]^5C_1 \times ^3C_1[/tex] / [tex]^{20}C_2[/tex]

= 12 x 5 / 190  + 12 x 3 / 190 + 5 x 3 / 190

= (60 + 36 + 15) / 190

= 111 / 190

Thus,

The probability that the two biscuits were not the same type is 111/190.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Answer: use a protractor and measure from the end of the line on the right side and measure 40 degrees and draw the line straight up from there

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Answer:

Profit

7.50

4.50

Loss

-3.50

-6.00

Step-by-step explanation:

Here, we want to write each profit as a positive number and each loss as a negative number

thus, we have that;

Profit;

7.50

4.50

Loss;

-3.50

-6.00

Answer:

.....................................

Step-by-step explanation:

y = 30 & x = 3

Answer:

The answer to 28 times 292 is 8,176

Step-by-step explanation:

Given

4 - (x -1 ) ²

= 2² - ( x - 1) ² [ putting it into the formula a² - b² = (a+b) (a - b) ]

= ( 2 + x - 1) ( 2 - x + 1)

= ( x + 1 ) ( 3 - x)

Hope it will help :)❤

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

    + 12     + 12

3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

2(40) -12 = # of girls

80 - 12 = # of girls

68 girls

let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.

Answer:

Step-by-step explanation:

15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:

Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:

Answer:

200 marbles are blue only if there are 600 marbles in total. If there are more than 600, you calculate by dividing the total number of marbles by three.

Answer:

200 blue marbles

Step-by-step explanation:

two-thirds of 600 is 400... so the rest is easy 600-400=200

brainliest pls

Answer:

i think it is b

Step-by-step explanation:

Answer: a= -3 and b=2.

Step-by-step explanation:

If a system of linear equations has infinitely many solutions, then

Ratio of coefficient of y= ratio of coefficient of x = ratio of constants.

Given system: [tex]y=2x+a[/tex]

[tex]y=bx-3[/tex]

It it has infinitely many solutions, then

[tex]\dfrac{1}{1}=\dfrac{2}{b}=\dfrac{a}{-3}\\\\\Rightarrow\ \dfrac{2}{b}=1\ \ \ \text{ and }\ \ \dfrac{a}{-3}=1\\\\\Rightarrow\ b=2\ \ \ \text{ and } \ \ a=-3[/tex]

hence, a= -3 and b=2.

Answer:

circle the second and forth one

Answer

Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)

Step-by-step explanation:

Answer:

I'm not completely sure but I beileve Jackie less than 4

Step-by-step explanation:

good luck tho

Answer:

D

(i scored 100 on the quiz)