What is the x-intercept of the graph shown below?

A (0, -6)
B. (-6,0)
C.(0,3)
D.(3,0)

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:

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:

747.84

Step-by-step explanation:

change the percent to a decimal 1.52 then multiply by 494

1.52×494=747.84

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:

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...

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:

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:

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:

[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:

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:

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:

i think it is b

Step-by-step explanation:

Answer:

wfddďdrfrrttyyyytgghhghhu

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 )

Answer:

The answer to 28 times 292 is 8,176

Answer:

20

Step-by-step explanation:

(8+12)/(4-3)

20/1

20

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:

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'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)

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]

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.

Step-by-step explanation:

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

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: 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

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:

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:

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: