A school is building a rectangular stage for its chorus. The stage must have a width of 4 feet. The area of the stage must be at most 24 square feet. (These are rules of the local fire department.) Write an inequality that describes the possible lengths (in feet) of the stage.

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:

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]

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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:

B.12

Step-by-step explanation:

I Hope This Helps :)

Answer:

B. 12

Step-by-step explanation:

Apply Pythagoras theorem in triangleCED where CD = 10 units!!

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:

the correct answer is 6000

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Answer: 89

Step-by-step explanation:

A triangle always equal 180 degrees

so first add the measurements you know

50+41 = 91

now subtract 180 by that

180-91

and then that is your answer

89 degrees

Answer:

The answer to 28 times 292 is 8,176

Answer:

reflection and rotation

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/12 can be simplified to 1/6

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

If there are 12 pages in a book, then there are 12 possible outcomes when one opens up a book. There are only two possibilities when a person opens up either 9 or 11. Probability is;

[tex]\frac{wanted-outcomes}{total-outcomes}[/tex]

Wanted-comes = 2

total-outcomes = 12

[tex]\frac{2}{12}\\\\=\frac{1}{6}[/tex]

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.

Answer:

the first quarter would be drawn before the median and the median would be drawn after the first quarter

Answer:

3,4

Step-by-step explanation:

The system of inequalities for the specific graph is

1. (one on top) y ≤ 1/2x + 6

2. (one on bottom) y > 1/2x -2

Hope this helped! :D

Answer:

thanks...

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:

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:

-1

Step-by-step explanation:

Given the equation :

-x - 1 = y

From the general. Slope intercept equation :

y = mx + c

Where ;

m in mx = slope

Comparing the given equation with the general. Slope equation :

m in - x Wille the value of the slope ; that is the Coefficient of x

;

The Coefficient of x in the given equation is - 1

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.

Calculate the volume of each shape.

Volume of rectangle = 6 x 5/6 x 1 2/6 = 6 2/3 cubic inches.

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216 cubic inch.

Now divide the volume of the rectangle by the volume of the cube:

6 2/3 / 1/216 = 1440

It will take 1.440 cubes to fill the rectangle.

Answer:

1,440

Step-by-step explanation:

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:

200 x .39

Step-by-step explanation:

200 x .39= 78

Answer:

39 percent of 200 is the same as 39 per hundred of 200. We can therefore make the following equation:

39/100 = X/200

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 200, and then finally divide the numerator by the denominator on the right side to get the answer.

39/100 = X/200

X/200 = 39/100

X*200/200 = 39*200/100

X = 7800/100

X = 78

The work above shows the long way to explain how to calculate 39 percent of 200 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 39 percent of 200?", Y is 200 and P is 39:

(200 * 39)/100 = 78

And once again you see that the answer is 78.

Step-by-step explanation:

Answer:

wfddďdrfrrttyyyytgghhghhu

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:

see explanation

Step-by-step explanation:

The domain D are the values of x, that is

D = { 3, 6, 12, 18 }

The range R are the values of y , that is

R = { 5, 7, 9, 10 }

The relationship is a function if each value of x in the domain maps to exactly one unique value of y in the range.

The relation is not a function as

6 → 5 and 6 → 10 ( that is 2 different values )

Step-by-step explanation:

no..................

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:

20

Step-by-step explanation:

(8+12)/(4-3)

20/1

20

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