The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?

Answer:

[tex]y=x^{2} +8x+12[/tex]  is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

[tex]x^{2} +6x+8x+12[/tex]

Combine like terms.

[tex]y=x^{2} +8x+12[/tex]

[tex]y=x^{2} +8x+12[/tex] is the answer.

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

Answer:

x = 3, y = 6, z = 4

Step-by-step explanation:

If lines s, t, and u are perpendicular bisectors of the sides of APGH and meet at J, then JG = JH = JF = HI

Given

JG - 2x+ 2

JH - 2y-4

JF-8 a

HI - 3z-3,

Hence 2x+2 = 2y-4 = 3z-3 = 8

This means that

2x+2 = 8

2x = 8-2

2x = 6

x = 3

Also, 2y-4 = 8

2y = 8+4

2y = 12

y = 6

And 3z-3 = 8

3z = 8+3

3z = 11

z = 11/3

z = 3.67 ≈ 4

Hence x = 3, y = 6,z = 4

Answer:

44%

Step-by-step explanation:

Answer:

Sowy but try Mathwa y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The idea hear is to find the least common multiples of 15 and 24

Given that they separated at exactly 1:00pm

the multiples are

15= 15,30,45,60,75,90,105,120

24= 24, 48,72,96,120

the multiples common is 120

Therefore they will meet in 120minute, which is 2 hours time \

hence the time will be 3:00pm

Answer:

The third answer, y = 4x + 1

Step-by-step explanation:

Let's take the pair x = 2, and y = 9.

We know what x is, and what the result, y, is now.

Let's plug x into the third equation, y = 4x + 1

y = 4 * 2 + 1

y = 8 + 1

y = 9

We already know that y = 9, so this equation is correct.

Hope this helps!

(Let me know if you want to know why it's not any of the others.)

Answer:

61

Step-by-step explanation:

46 then you have to add another 15 feet for underground and you get 61 because it is asking form the roof to the basement floor

hope this helps  

9514 1404 393

Answer:

  (-6, -4)

Step-by-step explanation:

If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).

__

The first of the given equations can be solved for y, then that used to substitute for y in the second equation.

  y = 5x +26

  2x -7(5x +26) = 16

  2x -35x -182 = 16

  -198 = 33x . . . . . . . . add 33x-16

  -6 = x . . . . . . . . . . . . divide by 33

  y = 5(-6) +26 = -4 . . . find y

The solution is (x, y) = (-6, -4).

Answer: TIME

Step-by-step explanation: I cant see the formula, but I think the one you are using is Interest = (principal)(interest rate)(time). You have the interest rate and principal, but you need the amount of time to figure out how much he has earned.

Answer:

a = 12

Step-by-step explanation:

Given that a is inversely proportional to b then the equation relating them is

a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion

To find k use the condition when a = 4, b = 36, then

4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )

144 = k

a = [tex]\frac{144}{b}[/tex] ← equation of proportion

When b = a , then

a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )

a² = 144 ( take square root of both sides )

a = ± [tex]\sqrt{144}[/tex] = ± 12

However a is a positive number, thus a = 12

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .

Answer:

for every 5 units to the right, there is 1 unit up

the slope is y = 1/5

(1)

(3)

(4)

I think im sorry if im wrong too

Answer: Mary will be 11, and yes you can

Step-by-step explanation: hector will be 16 in 8 years so you just add the 8 on to the 3

Answer:

2 electrons

Step-by-step explanation:

An atom is neutral if it has no charge. That means the positive and negative charge balance each other out.

There are two protons, so that is a charge of +2. To make the charge 0, there needs to be a charge of -2. -2= 2 electrons.

Answer:

Answer is 2

Step-by-step explanation:

Answer:

2 hippos

Step-by-step explanation:

Answer:

For every elephant, there are 2 hippos.

Step-by-step explanation:

the answer is y=-6 when x=-3

Step-by-step explanation:

5x+8-7x=4x+1

5x+7x-4x=8+1

8x=9

Answer:

Step-by-step explanation:

y= money earned , x is the number of hours

k is the constant=y/x=12

b- if she worked 18 hours:

y=12(18)

c- if she earned 330 dollars:

330=12x

x=330/12

Answer:

x = 3

Step-by-step explanation:

First lets add 4x + x so that we can get one x value on that side of the equation.

4x + x + 2 = 10x - 13

5x + 2 = 10x - 13

Then we can solve for x from there

5x + 2 = 10x - 13

-5x + 2 = -13   [Subtract 10x from both sides of the equation]

-5x = -15   [Subtract 2 from both sides of the equation]

-x = -3   [Simplify]

x = 3   [Simplify]

Hope this helps! I apologize if I got this incorrect

Answer:  x = 3

Steps: 4x + x + 2 = 10x - 13

Combine like terms: 5x + 2 = 10x - 13

Subtract 2 from both sides: 5x + 2 - 2 = 10x - 13 - 2

Simplify: 5x = 10x - 15

Subtract 10x from both sides: 5x - 10x = 10x - 15 - 10x

Simplify: -5x = -15

Divide both sides by -5:  -5x ÷ -5  =  -15 ÷ -5

Simplify: x = 3

Plz mark brainliest:)

Answer: The Slope is 20

Step-by-step explanation:

M A T H W A Y . C o M

Answer:

its yes

I'm fighting ransome cuz I need at least 20 characters

Answer:

B.

[tex](x + 2) ^{3} - 9 [/tex]