Please Help. Which system of linear equations is represented in the graph?

Answer:

Step-by-step explanation:

From the given information:

The study group includes Girls and Boys

So; we can have a table

Groups        Treatment ( Recruiting services)            Points

Girls              likely to be in School  and increase        3-5 %

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                         -

Boys            likely to be in School  and increase        No changes

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                      No changes

Why do you think the author points out the lack of change in the boys?

From the information above; we need to understand that the point the  author is trying to express is that the  Recruiting services Treatment are largely beneficial for the females rather than the males.

Answer:

20% of people jumped the turnstile, 80% of people paid

Step-by-step explanation:

Percentage is a ratio of one part to another part which it is a member of.

In this scenario, we are given that 12 out of 60 people did not pay as they jumped the turnstile; to calculate this as a percentage, we can simply divide 12 by 60 to find the decimal value of 0.2; when 0.2 is converted to a value out of 100, we find that it gives us 20% (0.2/1=x/100, x=0.2*100, x=20)

Assuming everyone else pays, and by taking the complementary members of the total group, we find that 80% of people will have paid.

Answer:

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay =  238.05

Step-by-step explanation:

Gross pay, G = 15 $/h * 20 h = 300 / week

Fed taxes, F = 10%*G = $30

FICA, K = 7.65%*G = $22.95

State taxes, S = 3%*G = $9

a. Weekly gross pay = $300

b. Federal taxes, F = $30

c. Fica taxes, K = 22.95

d. State taxes, S = $9

e. Weekly net pay = 300 - (30+22.95+9) = 300 - 55.95 = 238.05

Answer:

there is no inequality..

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.

The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.

[tex]5/6 \times 3/6[/tex]

[tex]=15/36[/tex]

[tex]=5/12[/tex]

Answer:

y = 15

Step-by-step explanation:

y varies inversely as x.

y = k/x

5 = k/6

Find constant of proportionality.

5 × 6 = k

30 = k

Plug k as 30 and x as 2.

y = 30/2

y = 15

Answer:

3

Step-by-step explanation:

| 6-3|

Find the value inside the absolute value signs

6-3 = 3

| 3|

Means take the non negative value

|3| = 3

Answer:

3

Step-by-step explanation:

Well absolute value means turn the negative into a positive so,

|6-3|

|3|

= 3

Thus,

the answer is 3.

Hope this helps :)

Answer:

Step-by-step explanation:

An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B

Therefore, the statement that can be used in the proof is

Angle CAB = angle CBA

Answer:

A set of prime number between 5 and 15.

Listing method:{ 7,11,13}

Set builder method:{X:X is a set of prime number between 5 and 15}

In listing method,the elements are listed inside the brackets.Listing method are also called rooster method.

In set builder method,the elements are represented by a variable stating their common properties.Set builder method are also called rule method.

Hope this helps...

Good luck on your assignment..

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

Answer:

Step-by-step explanation:

Multiplying both sides by $6$ to get rid of the fractions gives\[6\left(-\frac23\right)(k-6) = 6\left(\frac32\right)(k+6),\]so\[-4(k-6) = 9(k+6).\]Expanding both sides gives $-4k+24 = 9k + 54.$ Adding $4k$ to both sides gives $24 = 13k+54.$ Subtracting $54$ from both sides gives $-30=13k.$ Dividing both sides by $13$ gives $k =-30/13}.$

Answer:

yes

Step-by-step explanation:

y = 19+ 3x

Let x = 3 and y = 28

28 = 19 + 3*3

28 =19+9

28 = 28

This is true so the point is one the line

Answer:

[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Step-by-step explanation:

Let the first number is x1 and other number is y1 then

[tex]x1 * y1 =216[/tex]

Therefore

[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]

also there sum is

[tex]s1 =x1+y1[/tex]....Eq(1)

Putting the value of y1  in the previous equation

[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)

Differentiate the the Eq(2) with respect to x1 we get

[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]

[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]

[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]

Putting the value of X1 in Eq(1) we get

[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]

So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Answer:

discount = 9

new price = 36

Step-by-step explanation:

The discount is the price times the discount percent

45 * 20%

Change to decimal form

45*.20

9

The new price is the original price minus the discount

45-9 = 36

Answer:

I saw one person that way

Step-by-step explanation:

she had red hair and green eyes with pale skin

Answer:

triangle ΔABC is an isosceles triangle.

Step-by-step explanation:

Given  : Given that is both the median and altitude of triangle ABC.

To find : congruence postulate SAS is used to prove that triangle ABC is what type of triangle.

Solution : We have given that both the median and altitude of triangle ABC.

Let AD represent both the median and altitude of triangle  ABC.

A median divides the side in two equal parts.

So , BD=BC.

An altitude is a perpendicular drawn .

A perpendicular makes an angle of 90°.

Hence <ADB = <ADC = 90°

AD is the side common to both the triangles ADB and ADC.

Hence,     Δ ADB≅ΔADC  (SAS congruence postulate).

So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)

Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.

Therefore, triangle ΔABC is an isosceles triangle.

Answer: 96

Step-by-step explanation:

Simply multiply the first question by 12 to get 2x+8y=96

Hope it helps <3

Answer:

Q = (- 3, 5 )

Step-by-step explanation:

Given the 2 equations

3y - 2x = 21 → (1)

4y + 5x = 5 → (2)

Multiplying (1) by 5 and (2) by 2 and adding will eliminate the x- term.

15y - 10x = 105 → (3)

8y + 10x = 10 → (4)

Add (3) and (4) term by term to eliminate x

23y = 115 ( divide both sides by 23 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (2)

4(5) + 5x = 5

20 + 5x = 5 ( subtract 20 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

Solution is (- 3, 5 )

Answer:

891

Step-by-step explanation:

x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.

Answer:

891

Step-by-step explanation:

[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]

Hope this helped! :)

Answer:

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these possible outcomes:

Format(Dice A, Dice B)

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes.

Desired outcomes:

Sum of 6 or less. They are:

(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)

15 desired outcomes

15/36 = 0.4167

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Answer:

2% of 30,000 is 2/100×30,000

two zeroes of 100 can be cancelled out with 2 zeroes of 30,000, which gives, 2×300= 600

so, 2% of 30,000 is 600

Answer:

600

Step-by-step explanation:

30,000x.02

(.02 is 2% as a decimal)

multiply them to get 600

Answer:50.18

Step-by-step explanation:

8x+17+9x+11=102

17x+28=102

-28. -28

17x=74

<CAD=9x+11=50.18

x=74/17

Answer:

Step-by-step explanation:

133 is the product of -19 and n

Translate to an equation is:

133 = -19n

then:

n = 133/-19

n = -7

Check:

133 = -19*7

Answer:

  (x, y) = (25, 18)

Step-by-step explanation:

Use the angle sum theorem. You can write equations for the right angle and for the linear angle.

  (x +11) +(3y) = 90 . . . . sum of angles making the right angle

  (y +7) +90 +65 = 180 . . . . sum of angles making the linear angle

From the second equation, we have ...

  y = 18 . . . . subtract 162

Substituting into the first equation gives ...

  x + 11 + 3(18) = 90

  x = 25 . . . . subtract 65

The values of x and y are 25 and 18, respectively.

_____

Check

VQ = 18+7 = 25

QR = 25 +11 = 36

RS = 3·18 = 54

ST = 65

The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.

Answer:

If the radius is really 5.2, then the standard equation of this circle is:

[tex](x-4)^2+(y+2)^2=27.04[/tex]

Now, if there was a typo in your question, and the radius is  "5", then, the equation becomes:

[tex](x-4)^2+(y+2)^2=25[/tex]

Step-by-step explanation:

Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]

Answer: m=4

Step-by-step explanation:

To find the slope, we use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).

[tex]m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4[/tex]

Answer:

32 feet

Step-by-step explanation:

area of square is given by side^2

Perimeter of  square is given by 4*side

_______________________________

Given

area of square = 64 sq feet

side^2 = 64

side^2 = 8^2

side = 8

thus side = 8 feet

_______________________________________

The dog pen is fenced with chain, hence chain will be fence at the edge of square and at the perimeter.

Thus, length of chain required will be same as the Perimeter of  square.

Perimeter of given dog pen with side length 8 feet = 4*8 = 32 feet.

Thus, 32 feet of chain fence is required.

Answer:

The  derivative is  [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Step-by-step explanation:

From the question we are  told that

      [tex]r(t) = (t^2 ,1 - t , 4t)[/tex]

       [tex]a(2) = (2, 5, -3)[/tex] and  [tex]a'(2) = (4,-3 , 9)[/tex]

At  t  = 2  

       [tex]r(t) = (2^2 ,1 - 2 , 4(2))[/tex]

       [tex]r(t) = (4 ,-1 , 8 )[/tex]

Now  the derivative  of r(t) is  

      [tex]r'(t) = (2t, -1 ,4)[/tex]

At  t  = 2  

     [tex]r'(t) = (2(2), -1 ,4)[/tex]

     [tex]r'(t) = (4, -1 ,4)[/tex]

Now the derivative   of  [tex]r(t) \cdot a(t)[/tex]   At  t = 2 is

        [tex]= r'(2) a(2) + a'(2)r(2)[/tex]

         [tex]= (4,-1,4)(2,5,-3) + (4,-3,9)(4,-1,8)[/tex]

        [tex]= (8 - 5 -12) + (16+3+72)[/tex]

       [tex]= -9 + 91[/tex]

      [tex]\frac{ d (r(t) \cdot a(t))}{dt} = 82[/tex]

Answer:

We cannot use method B

Step-by-step explanation:

We cannot use method B .  We do not know that there be the same number of even and odd numbers assigned with a random number generator