Find the 5 number summary for both boys and girls .

Answer:

Step-by-step explanation:

Let the number of cleaners be x

Let the time taken be y

This relationship is inverse

x = k/y

If x = 3 and y = 4

3 = k/4

k = 3*4

k = 12

To get the time it will take 4 people, we will substitute k = 12 and x = 4 into the expression x = k/y

x = 12/4

x = 3

Hence it will take 4 people 3 hours at the same rate

Step-by-step explanation:

dear by changing the sign by elimination method everything gets cancelled

Given:

The system of equation is

[tex]15x+12y=18[/tex]

[tex]5x+4y=6[/tex]

To find:

The solution of given system of equations by using elimination method.

Solution:

We have,

[tex]15x+12y=18[/tex]         ...(i)

[tex]5x+4y=6[/tex]            ...(ii)

Multiply equation (ii) by 3.

[tex]3(5x+4y)=3(6)[/tex]

[tex]3(5x)+3(4y)=18[/tex]

[tex]15x+12y=18[/tex]            ...(iii)

After subtracting (iii) from (i), we get

[tex](15x+12y)-(15x+12y)=18-18[/tex]

[tex]15x+12y-15x-12y=0[/tex]

[tex]0=0[/tex]

This statement is true for all values of x and y. So, the given system of equations has infinitely many solutions and both equations represents coincident lines.

Answer:

y-intercept is (0, 3)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

Find out more on Geometric sequence at: https://brainly.com/question/9300199

Answer:

15 square feet

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

1.Angle D is 90 becuase any angle inscribed in a semi circle is a right angle.

2.Since c and 76 form a semi-circle. They add up to 180 so c=104.

3.Angle A is a inscribed angle of arc 76. So that means angle A is half of the arc 76.

Angle A=38.

4. Angle B can be found two ways,

D is the answer

Answer:

The answer is very clear is 2/3

Step-by-step explanation:

Answer: 1st circle 0.42n

Step-by-step explanation:

Answer:

p=0.42n

Step-by-step explanation:

Im not sure but if you do 2.52 divided by 6 you get 0.42 so my answer is A (p=0.42n)

Answer:

Si al quintuple de 1.2 se le resta el doble de 2.1,  entonces resulta : 1.8 . Opción A) 1.8 .

 Si al quintuple de 1.2 se le resta el doble de 2.1 , al resolver primero cinco veces por 1.2 resulta 6 y luego dos por 2.1 da como resultado 4.2 y al realizar la diferencia o resta 6 - 4.2 el resultado es : 1.8 , por lo tanto la opción de la respuesta es la A) 1.8 , como se muestra continuación :

  5* 1.2  - (2* 2.1  ) =

    6 - 4.2  = 1.8    .Opción A ) 1.8

Answer:

0.09

Step-by-step explanation:

9/100 as a decimal is 0.09.

Answer:

0.09!

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.09 is your answer!

Hope this helped.

Signed ~Jaz~

Answer:

8

Step-by-step explanation:

1 video game = 9

? = 72

72/9=8

Answer:

8

Step-by-step explanation:

Answer:

It should be y=4x-7

Step-by-step explanation:

M is the slope meaning Δx over Δy or rise over run

So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.

B is the y- intercept so then it would just be -7.

9514 1404 393Answer:

  y=4x-6

Step-by-step explanation:

The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.

The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .

  m = rise/run = 4/1 = 4

Filling in these values (m=4, b=-6), we get ...

  y = 4x -6

Answer: The answer is the 3rd one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  AE = (32√6)/3

Step-by-step explanation:

The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.

So, we have the side length ratios ...

  CE : CD = 2 : √3

  BE : CE = √2 : 1

  AE : BE = 2 : √3

Then the ratio AE : CE is ...

  [tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]

Multiplying by the length of CD, we have ...

  AE = (8√3)(4√2)/3

  AE = (32√6)/3 . . . . . matches the last choice

Answer:

60%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3/5 is the same as 6/10. All percentages are out of 100% so you have to change the denominater to 100. Do do that you just add a 0 to the numerator and demoninator. i.e. 60/100. which is translated to 60%.

Answer:

x > -5

Step-by-step explanation:

-3x > 15

divide by -3

x > -5

Answer: x<-5

Step-by-step explanation:

First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all  the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot.  Hope this helps!

Answer: x = 17/9

Step-by-step explanation: Lets solve for x.

9x - 5 = 12

9x - 5 + 5 = 12 + 5

9x = 17

9x/9 = 17/9

x = 17/9

Answer:

y=66

Step-by-step explanation:

Answer5

34

Step-by-step explanation: 45

Answer:

40%

Step-by-step explanation:

60 X 40% =24

Answer:

40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The trigonometric function gives the ratio of different sides of a right-angle triangle.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:

[tex]\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}[/tex]

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

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Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

Answer:

When the line of the graph is going up

Step-by-step explanation:

When the line is going down that means its a exponential decay :)

Answer:

1)500

2)60

3)$60

4)this i don't know sorry

Answer:

you do 1/2(.5) times itself, times 3.14= 0.785

Step-by-step explanation:

Answer: B

Step-by-step explanation:

I did it.

Answer:

$45.65 total

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

Answer:no

Step-by-step explanation: because it is an acute triangle