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:

44%

Step-by-step explanation:

Answer:

its yes

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

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 .

(1)

(3)

(4)

I think im sorry if im wrong too

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].

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

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:

2 hippos

Step-by-step explanation:

Answer:

For every elephant, there are 2 hippos.

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:

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:

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:

Step-by-step explanation:

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

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

8x=9

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:

Sowy but try Mathwa y

Step-by-step explanation:

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  

Answer:

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

the slope is y = 1/5

Answer:

B.

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

Step-by-step explanation:

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

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:

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:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

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:

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.)

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).