One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?​

Answer:

(s/t)(100%)

Step-by-step explanation:

Represent salaries by s and total expenses by t.  Then the fraction of total expenses allocated to salary is

  s

------

  t

and so the percentage of total expenses which is allocated to salary is

(s/t)(100%)

Here,

we have to determine the percentage of total expenses which is allocated to salary.

Let,

The percentage of total expenses allocated to salary is,

9514 1404 393

Answer:

  C.  4/9

Step-by-step explanation:

There are a couple of ways you can do this.

  [tex]\log_3{4x}-2\log_3{x}=2\\\\\log_3{4}+\log_3{x}-2\log_3{x}=2\\\\\log_3{4}-2=\log_3{x}\\\\4\cdot3^{-2}=x\qquad\text{take antilogs}\\\\\boxed{x=\dfrac{4}{9}}\\\\\textsf{or}\\\\\dfrac{4x}{x^2}=3^2\qquad\text{take antilogs}\\\\\dfrac{4}{9}=x\qquad\text{cancel $x$, multiply by $\dfrac{x}{9}$}[/tex]

Answer:

324

Step-by-step explanation:

Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.

P = 11/40 + 1/4 - 1/20

=========================================================

Explanation:

The formula we use is

P(A or B) = P(A) + P(B) - P(A and B)

In this case,

So,

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 11/40 + 1/4 - 1/20

which is why choice C is the answer

----------------

Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.

Answer:

Step-by-step explanation:

A perpendicular slope is one that is the opposite reciprocal of the one given. The line given, y = -5x - 4, is a line in slope-intercept form where m is the slope and b is the y-intercept. That means that the slope of the given line is -5; therefore, the perpendicular slope is 1/5. Passing through the point (-5, -4), we have

[tex]y-(-4)=\frac{1}{5}(x-(-5))[/tex] which simplifies a bit to

[tex]y+4=\frac{1}{5}(x+5)[/tex] That's the line in point-slope form, so let's also get it into slope-intercept form, which means that we solve the point-slope form equation for y:

[tex]y+4=\frac{1}{5}x+1[/tex] and

[tex]y=\frac{1}{5}x+1-4[/tex] gives us, finally,

[tex]y=\frac{1}{5}x-3[/tex]

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

Answer:

275, 350, 450, 550, 675

Step-by-step explanation:

Arrange in order

275, 300, 450, 490, 675

range 275 to 675

median 450

mean 438

---------------------------

Raise 300 to 350

Raise 490 to 550

New set of prices

275, 350, 450, 550, 675

range 275 to 675     same

median 450     same

mean 460    increased

Answer:

it is a parabola with max of -4

so domain (-∞,∞)

Step-by-step explanation:

Answer:

sum of angles in a triangle = 180°

180-(90+21)

= 69

pls am I correct

Answer:

Option (3)

Step-by-step explanation:

Track is shaped as a rectangle with a semicircle on either side.

Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.

= 2(96) + 2πr

= [tex]192+2\pi (\frac{35}{2})[/tex]

= 192 + 35π

= 192 + 109.9

= 301.9 m

Since, Jake plans to run four laps.

Therefore, distance covered by Jake = 4 × 301.9

                                                              = 1207.6 m

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

i did the test and got it right :D

Answer:

30

Step-by-step explanation:

Area of a parallelogram = base length * height

The parallelogram has a given base length of 10 cm and a given height of 3 cm

Hence, area = 10 * 3 = 30cm^2

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

Answer:

ADH

Step-by-step explanation:

The back of the box is AEDH  ( points on the corners)

You need 3 points to name a plane that are not in a line

ADH is one name

ADE is another name

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

Answer:

x=48

Step-by-step explanation:

3x/4+6=42

3x/4=42-6

3x/4=36

cross multiply

3x/3=144/3

x=48

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

Answer:

(x,0.3*x)

Step-by-step explanation:

the equation would be 0.3*x=y where x is days and y is total cost. so the ordered pair would be (x,y). swapping 0.3*x for y is where (x,0.3*x) is derived from. Since there will be no negative days and the fee only applies at midnight x must be positive and an integer.

Answer:

See below.

Step-by-step explanation:

x + y = 3

Subtract x from both sides:

x - x + y = 3 - x

y = -x + 3 which is slope-intercept form.

Answer:

each boy will get 1.33333333333 of a pan

Step-by-step explanation:

Answer:

Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating

Step-by-step explanation:

To find this you would take the numbers of pans (4) and divide it by the number of boys (3).

4 / 3 = 1.33333

Answer:

All real numbers are solutions.

Step-by-step explanation:

Our goal is to isolate "v" on one side of the equation. Let's do this step by step.

5(v+1)−v=4(v−1)+9

Step 1: Simplify both sides of the equation.

5(v + 1) − v = 4(v−1) + 9

(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)

5v + 5 + −v = 4v + −4 + 9

(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)

4v + 5 = 4v + 5

4v + 5 = 4v + 5

Step 2: Subtract 4v from both sides.

4v + 5 − 4v = 4v + 5 − 4v

5 = 5

Step 3: Subtract 5 from both sides.

5 − 5 = 5 − 5

0 = 0

This means that all real numbers are solutions.

Any real number could be "v."

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

All numbers are solutions

Step-by-step explanation:

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

Answer:

C

Step-by-step explanation:

60÷6=10, 90÷9=9, 75÷7.5=10, It divided by 10 so it's 1/10

The scale factor of dilation of the triangle is k = 1/10

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the first triangle be ΔXYZ

Let the second triangle be ΔUVW

Now , the measure of sides of ΔXYZ = { 60 , 75 , 90 }

And , the measure of sides of ΔUVW = { 6 , 7.5 , 9 }

So , the scale factor of dilation is given by k

where k = measure of side ΔUVW / measure of side ΔXYZ

k = 6 / 60

k = 1/10

Hence , the dilation factor is k = 1/10

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ7

Answer:

I hope I've helped /espero haberte ayudado

Answer:

Total dollars = 35 dollars.

Step-by-step explanation:

Below is the given values:

Number of cups = 8 cups

Number of gallons = 3 gallons

Price of soil per quart = $2.50

Now convert the cups and gallons into quart.

Total quart = 8 cups + 3 gallons

Total quart = 8 / 4 quart + 3 x 4 quarts

Total quart = 2 quart + 12 quart

Total quart = 14 quart

Total dollars amount = $2.50 per quart x 14 quart

Total dollars = 35 dollars.

Answer:

Step-by-step explanation:

Let,

The number thought by Sushil = x

When halved = x/2

We know that,

When the number is halved then it becomes 22.2

Therefore,

The original number is,

[tex] = > \frac{x}{2} = 22.2[/tex]

=> x = 22.2 × 2

=> x = 44.4 (Ans)

Answer:

sim eu também preciso desta respota

Answer:

Who Knew Mean = 4.825

Amazing prime mean =

Peach TV mean = 5.025

Amazing prime wins the fastest speed with 4.75 seconds. Hope this helps!

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

Answer:

(6, 4)

Step-by-step explanation:

y-4=-2(x-6) <=> y-y1 = s(x-x1)

(x1, y1) => (6, 4)

Answer:

5

Step-by-step explanation:

x^2 - 10x + 16 = 0

factor

(x - 2)(x - 8) = 0

roots

x = {2, 8}

mean of roots

a = (2 + 8) /2

a = 5