Of the 1,400 students enrolled at a Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled in 6th grade? Explain how you got your answer.

Answer:y

=

1

3

x

+

2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

1

3

y-intercept:  

2

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

0

2

3

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

1

3

y-intercept:  

2xy0233

Answer:

-2y+x

Step-by-step explanation:

x-2y

-2y+x

Answer:

x+2y+x+2

=2x+2y+2

=2(x+y+1)

Step-by-step explanation:

i hope its right

Answer:

3.33m/s

Step-by-step explanation:

The perimeter of a rectangle is

= 2(L + W)

L = 500m

W = 200m

= 2(500 + 200)

= 2(700)

= 1400m

If it takes Rebekah 420 s to run the entire perimeter of her property.

Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time

= 1400m/420s

= 3.3333333333 m/s

Approximately = 3.33m/s

Answer: D

Step-by-step explanation:

A line segment is defined as a part of a straight line connecting two points called  the endpoints, option D.

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For more on line segments and endpoints, you can check a similar problem at https://brainly.com/question/24778489

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Answer:

[tex]2^{14}[/tex] is the answer. Hope this helped!!

Step-by-step explanation:

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

Answer:

x= -2

Step-by-step explanation:

so D is the answer

Answer:

[tex]\boxed {x = -2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]9 - 4x = 17[/tex]

-Subtract both sides by [tex]9[/tex]:

[tex]9 - 9 - 4x = 17 - 9[/tex]

[tex]-4x = 8[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]

[tex]\boxed {x = -2}[/tex]

Therefore, value of [tex]x[/tex] is [tex]-2[/tex].

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

We have,

[tex]y=-\dfrac{3}{4}x+7[/tex]

Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{3}{4}\times m_2=-1[/tex]

[tex]m_2=\dfrac{4}{3}[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is

[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]

[tex]y+15=\dfrac{4}{3}(x+3)[/tex]

[tex]y+15=\dfrac{4}{3}x+4[/tex]

Subtract 15 from both sides.

[tex]y=\dfrac{4}{3}x+4-15[/tex]

[tex]y=\dfrac{4}{3}x-11[/tex]

Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

Answer:

m= 1/8, 10

Step-by-step explanation:

(8m − 1)(m − 10) = 0

↓

8m−1=0 → (8m/8)=(1/8) → m=(1/8)

m−10=0 → m=10

m=1/8

m=10

Answer:

1/2h=W

Step-by-step explanation:

1 liter/2 hours

1/2 liter/hour

W=Amount of water lost

H=hours

Answer:

w=1/3h

Step-by-step explanation:

Answer:

11v+35v-30

Step-by-step explanation:

Answer:

100 meters  20/5=100

Not sure about the second one

hope this helps

Step-by-step explanation:

Answer:

W= B-3 or 3=B-W

Step-by-step explanation:

just add or subtract either

Answer:

w = b - 3

Step-by-step explanation:

3 + w = b

-3        -3

w = b - 3

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

State Taxes.

Step-by-step explanation:

I had a test on this and got it right :))

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

195 x 51 =9945

estimated = 10,000

Answer:

1 7/8

Step-by-step explanation:

dont know lol but trust me

The addition of KN and IK is 1.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have been given the number line of G H I J K L M N O

We need to find the addition; KN + IK

KN = 3

IK = -2

Then KN + IK = 3 - 2

KN + IK = 1

Therefore, the addition of KN and IK is 1.

Learn more about addition, please click the link below;

https://brainly.com/question/2577752

#SPJ2

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Answer:

200 ants

Step-by-step explanation:

Im not really sure on this but i tried lbao

Answer:the answer is 9998.

Step-by-step explanation:

The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.

Answer:

1008 is the correct answer (i think)

Step-by-step explanation:

1008/2 is 504

1008/3 is 336

1008/6 is 168

hope this helps!

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

3. 11

4. -8

Step-by-step explanation: