Student Council has 24 boys as members and 16 girls as members. Using this ratio,
if there were 3 boys, how many girls would there be?

9514 1404 393

Explanation:

Both sides of the equation are squared.

  [tex]\dfrac{x-12}{4}=\sqrt{x} \qquad\text{given}\\\\ \left(\dfrac{x-12}{4}\right)^2=x \qquad\text{square both sides}\\\\ \left(\dfrac{x}{4}-3\right)^2=x \qquad\text{divide out the fraction}\\\\ \dfrac{x^2}{4^2}-\dfrac{6}{4}x+9=x \qquad\text{$(a-b)^2=a^2-2ab+b^2$}\\\\\dfrac{x^2}{16}-\dfrac{5x}{2}+9=0 \qquad\text{subtract $x$}[/tex]

I like this better without fractions, so would multiply by 16 at this point (or earlier).

  x^2 -40x +144 = 0

  (x -36)(x -4) = 0

  x = 4 or 36 . . . . . . x = 4 is extraneous

The solution is x = 36.

Answer: Aida

Step-by-step explanation:

Superscript means to that power so 5 superscript 4 for means 5 to the 4th power

5x5x5x5

5x5=25 25x5= 125. 125x5= 625

Answer:

Its Aida

Step-by-step explanation:

The guy up there deserves brainly more than I do but...

Its correct on Edge 2021

I hope this helps you <3

Answer: Yes.

Step-by-step explanation:

5 • 2 • 4 = 40

Answer:

I am not sure but for

CAE it is 65˚

CBD it is 65˚

Step-by-step explanation:

x+40=3x-10

Move the 3x to the other side by subtracting by 3x on both sides

x-3x+40=3x-3x-10

The equation now looks like this:

-2x+40=-10

Move 40 to the other side by subtracting 40 both sides:

-2x+40-40=-10-40

-2x=-50

Divide by -2 on both sides:

-2x/-2=-50/-2

x=25

Since we found out what x is we can replace x in both CAE and CBD:

For CBD: 25+40 is 65

For CAE: 3(25)-10 is 65

Answer:

m∠CAE = 65, m∠CBD = 65

Step-by-step explanation:

Line CA is a transversal of lines AE and BD which are parallel, in this case corresponding angles are congruent. ∠CAE and ∠CBD are corresponding angles so you can make them equal to each other. x+40=3x-10 -> 2x=50 ->x=25. Now that we have x just plug it into the equations 25+40=65 which is m∠CBD. 3(25)-10=75-10=65 is m∠CAE

Step-by-step explanation:

sorry bud you ran out of time reading this

Answer:

False

Step-by-step explanation:

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi]. sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

The average value of a function f on [a, b] always lies between f(a) and f(b) is false.

A relation is a function if it has only One y-value for each x-value.

The average value of a function over an interval [a,b] is the total area over the length of the interval

A parabola is a good example of proving this false, but more specifically is the graph of sin x on the interval [0, pi].

sin 0 = sin pi = 0, but the average value of sin x on this interval is greater than 0.

So the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

Hence,  the average value of a function f on [a, b] always lies between f(a) and f(b) is false.

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Answer:

You can substitute

4

as

x

in the first equation because

x

and

4

are equal.

2

(

4

)

+

y

=

29

8

+

y

=

29

y

=

21

Step-by-step explanation:

Answer:

A. $6.65

Step-by-step explanation:

To find how much 1/6 is you divide $7.98 by 6 and so the answer is $1.33. Now multiply $1.33 by 5 to get 5/6 or get the answer $6.65.

Answer:

Answer is 104

Step-by-step explanation:

The selling price of the coat is $104.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $200

Selling price.

= 52% of $200

= 52/100 x 200

= $104

Thus,

$104 is the selling price of the coat.

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Answer:

They sold 67.50 in total

Step-by-step explanation:

If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50

Answer:

-1 is your answer for this mate

Step-by-step explanation:

the inequality is

0<=x<4

Answer:

2345678io90

Step-by-step explanation:

Answer:

10.8 in.; CE = √(82 + 62 + 42)

Step-by-step explanation:

I think this hint helps you

have a great day ahead

Answer:

yes

Step-by-step explanation:

Answer: 4 x − 7 = 2 4x-7=2 4x−7=2. Add 7 to both sides. Simplify 2 + 7 2+7 2+7 to 9. Divide both sides by 4.

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

4+x/7=2

-4       -4

x/7=-2

*7    *7

x=-14

Answer:

4 people can go

Step-by-step explanation:

Answer:

Equation:  18.75x+5=80

Answer : x= 4

Answer:

122.5

Step-by-step explanation:

Step-by-step explanation:

x

2

−

12

x

+

27

=

(

x

−

3

)

(

x

−

9

)

Explanation:

x

2

−

12

x

+

27

Find two numbers that when added equal

−

13

and when multiplied equal

27

. The numbers

−

3

and

−

9

meet the criteria. The two factors are

(

x

−

3

)

(

x

−

9

)

.

Answer:

x < -6

Step-by-step explanation:

Answer:

5/8+1/3=6/11

first u add the fraction and u get the answer of 6/11.

Answer:

7/24

Step-by-step explanation:

5/8 = 15/24

1/3 = 8/24

15/24-8/24 = 7/24

The question was what fraction of all the songs are jazz. Therefore you need to find the common denominator which is 24. (8x3 =24).

Next you Multiply 5x3 which equals 15 and then you multiply 1x8 which equals 8. (We do this because you need to multiply your numerator by the same number you multiplied your denominator with)

Finally, you subtract 8/24 from 15/24 which equals 7. (15-8=7 [make sure you keep your denominator 24] )

Therefore your answer is 7/24

Answer:

The data have no observable association; there are too many outliers to establish a trend.

Step-by-step explanation:

Be happy I did your work for u :)

Answer:

885.45

Step-by-step explanation:

Testuo monthly payments will be around 885$

It is a fee paid for borrowing money or other assets.

• the amount borrowed is called the principal.

•  the interest is expressed as a percentage rate of the principal

for a given time interval.

It is given that

Value of the car = $32000

Time period of loan repayment = 36 months

T = 3 years

Rate of Interest = 6.71%

10% down amount from 32000  =  3200 $

So the amount he is putting for finance = 32000 - (0.1 × 32000)

                                               = $28800

Rate of interest can be calculated from

I = P x R x T

I = Interest, P = Principle, R = Rate, T = Time

= (6.71 * 28800 * 3)/(100*12)

= $ 483.12

This is total interest for an year

In one month, rate of interest

= 483.12/12

 = $40.26

The principal amount that will be payable per month

= 28800/36

= $800

Total amount payable will be

= $ ( 800 + 40.26 )

= $840

Hence, we can conclude, Tetsuo needs to pay $840.26 as monthly installments, so in the options given it is 885$

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Answer:

[tex]Solution,\\Here,\\Hypotenuse (h )~=~11\\Leg (b) = 7\\Let~the~other~leg~be~'p'.\\\\From~Pythagoras~Theorem,\\h^{2} = p^{2}+b^{2}\\or, 11^{2} = p^{2}+7^{2}\\or, 121 = p^{2} +49\\or, p^{2} = 72\\or, p = 6\sqrt{2} = 8.5 approx.[/tex]

Answer:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Step-by-step explanation:

Area of a Triangle

Given a triangle of base B and height H, the area is calculated by the formula:

[tex]\displaystyle A=\frac{1}{2}BH[/tex]

Let's call x=base of a triangle

Since the height of the triangle is 5 m less than the base:

x - 5 = height of the triangle.

Thus, the area is

[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]

The value of the area is given as A=42 square meters, thus:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Answer:

all the points below this line towards (0, 0) on the whole plain will work

Step-by-step explanation:

This line passes through (0, 2) and (-4, 0) which puts it in the fourth quadrant

y < 0.5x + 2 i.e. 0 < 2 which is true

all the points below this line towards (0, 0) on the whole plain will work

Answer:

(FGH ; FGI ; GHI ; HIF)

Step-by-step explanation:

Frank, = F

Grey = G

Hala = H

Inez = I

3 children sitting in the back seat :

Using combination formula :

4C3

nCr = n! /(n-r)! r!

4C3 = 4! / 1! 3!

4C3 = 4 / 1 = 4

The 4 Possible combinations are :

(FGH ; FGI ; GHI ; HIF)