In the following problems, suppose J is between H and K.
• Use Segment Addition Postulate to solve for x.
• Then find the length of each segment.

11. HJ=6x-5
JK=4x-6
KH=129

12. HJ=4x-15
JK=5x-6
KH=15

Please show all work and not just answers.

Answer:

9465 people/square mile.

Step-by-step explanation:

If there are  646,449 people in 68.3 square miles for the district of columbia, the unit rate in terms of people per square mile for the District of Columbia will be expressed as shown;

646,449 people = 68.3 square miles

x people = 1 square mile

Cross multiply

646,449 people *  1 square mile = 68.3 square miles * x people

x = 646,449 people *  1 square mile/68.3 square miles

x = 646,449/68.3 square miles

x =  9464.8463 square miles

x ≈ 9465 people/square mile.

Hence the unit rate in terms of people per square mile for the District of Columbia is approximately 9465 people.

Answer:

285.28571429 minutes

Step-by-step explanation:

Let us represent

The number of minutes you talk = t

C1 = Cost in dollars of the first plan

C2 = Cost in dollars of the second plan

First plan

The first plan charges a rate of 26 cents per minute

Converting cents to dollars

100 cents = 1 dollars

26 cents =

26/100 cents

=$ 0.26

C1 = $0.26 × t

C1 = 0.26t .......... Equation 1

Second Plan

The second plan charges a monthly fee of $39.95 plus 12 cents per minute

Converting 12 cents to dollars

100 cents = 1 dollars

12 cents =

12/100

= $0.12

C2 = $39.95 + 0.12t........Equation 2

Find the number of talk minutes that would produce the same cost for both plans

We would Equate C1 to C2

C1 = C2

0.26t = $39.95 + 0.12t

Collect like terms

0.26t - 0.12t = $39.95

= 0.14t = $39.95

Divide both sides by 0.14

= t = $34.95/0.14

t = 285.28571429 minutes

Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.

Answer:

The possible midpoints of AB are 6.5 and 9.5

Step-by-step explanation:

Given that the coordinates of A is 8

The length of AB = 3

When A is the maximum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A - 1/2 × Length of AB

The midpoint of AB = 8 - 1/2 × 3 = 8 - 1.5 = 6.5

The midpoint of AB = 6.5

When A is the minimum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A + 1/2 × Length of AB

The midpoint of AB = 8 + 1/2 × 3 = 8 + 1.5 = 9.5

The midpoint of AB = 9.5

Therefore, the possible midpoints of AB are 6.5 and 9.5.

Answer:

Step-by-step explanation:

3x + 2y - z = 8

-3x + 4y + 5z = -14

6y + 4z = -6

3x + 2y - z = 8

-3x + 9y - 12z = 42

11y - 13z = 50

6y + 4z = -6

66y  - 78z = 300

-66y - 44z =  66

-122z = 366

z = -3

3x + 2y + 3 = 8

3x + 2y = 5

-3x + 4y -15 = -14

-3x + 4y = 1

3x + 2y = 5

-3x + 4y = 1

6y = 6

y = 1

3x + 2 + 3 = 8

3x + 5 = 8

3x = 3

x = 1

x=1, y = 1, z = -3

Answer:

7 x 60 = 420

420 x 60 = 25,200

25,200 feet per hour

Step-by-step explanation:

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Answer:

Amplitude is 0.3; period is 6π

Step-by-step explanation:

The amplitude is |-0.3| = 0.3.

The period and frequency are related through

                   2π

period  =  ----------

                     b

where b is the coefficient of the independent variable; here that coefficient is 1/3.

Thus, the period here is found using b = 1/3:

period = 2π/b, or 2π/(1/3), or 6π

Answer:

[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]

Step-by-step explanation:

Given

[tex]-(3.4p-6q+6)[/tex]

Required

Simplify

[tex]-(3.4p-6q+6)[/tex]

Rewrite as

[tex]-1(3.4p-6q+6)[/tex]

[tex]-1 * (3.4p-6q+6)[/tex]

Open the bracket

[tex]-3.4p+6q-6[/tex]

Answer:

-3 is a rational integer.

Step-by-step explanation:

An integer is a superset of the whole numbers that includes the negated values as well as 0.

A rational number is simply anything that can be expressed as a fraction.

-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.

-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.

And -3 is also not an irrational number since it can be expressed as a fraction.

Thus, -3 is a rational integer.

Cheers.

Answer: u = 1

36 = 6(1)+30

Step-by-step explanation:

Answer:

1=u

Step-by-step explanation:

36-30=6u+30-30

6=6u

6÷6=6u÷6

1=u

Answer:

vertex = (- 3, 5 )

Step-by-step explanation:

The general form of the absolute value function is

y = a | x - h | + k

where (h, k) are the coordinates of the vertex

Given

y = - | x + 3 | + 5 ← in general form, then

vertex = (- 3, 5 )

Answer:

4.8 in, 3.125 mi

Step-by-step explanation:

This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.

Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.

Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40\% \: }}}}}[/tex]

Step-by-step explanation:

Total number of cupcakes = 500

Total number of mocha flavored cupcakes = 200

To find : percentage of mocha flavored cupcakes sold that day

[tex] \boxed{ \sf{ \frac{total \: number \: of \: mocha \: flavored \: cupcakes}{total \: number \: of \: cupcakes} \times 100 \: \% \: }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{200}{500} \times 100\%}}[/tex]

[tex] \dashrightarrow{ \sf{40 \: \% \: }}[/tex]

Hope I helped!

Best regards ! :D

Answer:

40% were mocha flavored cupcakes.

Step-by-step explanation:

200/500 = 2/5

2/5 = 40%

Hope it helped you!

Answer:

  3π

Step-by-step explanation:

Arc length is given in terms of central angle θ in radians as ...

  s = rθ

For r = 27 and θ = (20/180)π, the arc length is ...

  s = (27)(20/180)π = 3π

The arc length is 3π units.

Answer:

Solution: Option C

Step-by-step explanation:

Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).

[tex]x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0[/tex] (Factor the expression "x² + 8x")

[tex]x^2+8x = x\left(x+8\right)[/tex] (Factor the expression "y² - 12y")

[tex]\:y^2-12y =y\left(y-12\right)[/tex]

That leaves us with the expression [tex]\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2[/tex], or in other words [tex](x+4)^2 +(y-6)^2 = 9[/tex]. As you can see our solution is option c.

Answer:

(10, -20)

Step-by-step explanation:

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Answer:

Step-by-step explanation:

2/5 m  and -3/5 are like terms

[tex]\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m= \frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}\\\\\\=\frac{(2-3)}{5}m-\frac{4}{5}\\\\\\=-\frac{1}{5}m-\frac{4}{5}[/tex]

Answer:

The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35

Step-by-step explanation:

The given parameters are;

The life expectancy of a monkey = 15 years

The life expectancy of an African elephant = 35 years

The life expectancy of a beaver = 5 years

The life expectancy of a grizzly bear = 25 years

Therefore, if the  life expectancy of a beaver = X, we have;

The life expectancy of a monkey = 3 × The life expectancy of a beaver = 3·X

The  life expectancy of a beaver = X

The life expectancy of an African elephant = 7 × The life expectancy of a beaver = 7·X

The life expectancy of a grizzly bear = 5 × The life expectancy of a beaver = 5·X

Therefore;

The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35.

Answer:

Relation = {(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}

Domain = {Monkey, African elephant, Beaver, Grizzly bear}

Range = {5, 15, 25, 35}

Step-by-step explanation:

Relation is just (x,y).

{(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}  

I like to put domain as least ---> greatest, but in this case, it's just the names

{Monkey, African elephant, Beaver, Grizzly bear}

The numbers.

{5, 15, 25, 35}

Hope this helped! Please mark brainliest :)

~~ SUMMER ~~

Answer:

-1/2

Step-by-step explanation:

To find the slope, pick two points on the line, and use the slope formula

( 1,9) and  (5,7)

m = (7-9 )/(5-1)

   -2/4

  -1/2

Answer:

slope = -1/2

Step-by-step explanation:

Find two points on the line that are easy to read. The easiest points to read are points that lie on grid intersections.

For example, use point (1, 9) and point (3, 8).

slope = rise/run

Rise is the vertical distance between points. Up is positive. Down is negative.

Run is the horizontal distance between points. Right is positive. Left is negative.

You need to go from one point to the other points and note the rise and run.

Start at (1, 9).

Go 1 unit down. That is a rise of -1 since you went down 1 unit.

Now go 2 units right. That is a run of +2 since you went 2 units to the right.

slope = rise/run = -1/2

Answer: slope = -1/2

Based on the figure, the statements that are true are

That is, the first, second and fifth statements.

From the image, we will determine the statements that are true based on the figure.

For the first statement -  SV is perpendicular to TP

From the figure,

SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.

Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).

Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.

∴ The statement (SV is perpendicular to TP) is true

For the second statement - SV is perpendicular to plane A

As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.

∴ The statement (SV is perpendicular to plane A) is true

For the third statement - points S, P and Q are collinear

Collinear points are points that lie on the same line.

Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.

∴ The statement (points S, P and Q are collinear) is NOT true

(From the image, an example of points that are collinear are points S, P, and V)

For the fourth statement - points R, T, and U are collinear

As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.

∴ The statement (points R, T and U are collinear) is NOT true

NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)

For the fifth statement - point P lies on SV and in plane A

Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.

∴ The statement (point P lies on SV and in plane A) is true

For the sixth statement - points U, S, V, and Q are coplanar

Points or lines are said to be coplanar if they lie in the same plane.

Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.

∴ The statement (points U, S, V, and Q are coplanar) is NOT true.

(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).

Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is

Learn more here: https://brainly.com/question/17534787

Answer:

Buffalo

Step-by-step explanation:

The number that is father away form 0 is the coldest

Answer:

Buffalo -8

Here’s my explanation

the number line is a weird thing but its under standing here’s a semi graph

the fairest to the left is the coldest and the fairest to the right is the hottest i have out all the possible answers in bold witch on is the farest to the left

-8 -7  -6  -5  -4 -3  -2 -1  (0)  1  2  3  4  5  6  7  8  9  10

Answer:

Step-by-step explanation:

(5[tex]x^{2}[/tex]+4x)-(5x+4)

then we factorise the similar factors

x(5x+4)+1(5x+4)

thus factors will be:

(x+1) and (5x+4)

Answer:

Step-by-step explanation:

First of all multiply through by 7

We have

Expand the terms in the bracket

That's

Add 16x to both sides

That's

Divide both sides by 30

We have the final answer as

Hope this helps you

Answer:

1. 3 − 6n

2. Melody: m Fatima: 3m

3. i. Perimeter = y + 10 + 8

   ii. The perimeter is 25 inches when y = 7

Step-by-step explanation:

1. Let the number be represented by n, thus the product of  the number and 6 is 6n.  Since 3 is less than 6n, therefore: 3 - 6n is the appropriate expression.

2. Let Melody's age be represented by m, Fatima is three times Melody's age implies 3m. So that Melody's age is m, while Fatima's age is 3m.

3. Length of the sides of the triangle in inches are 10, 8 and y.

Perimeter = addition of the length of sides of the triangle

                = 10 + 8 + y

When y = 7,

Perimeter = 10 + 8 + 7

                 = 25 inches

Answer:

3-6n

Step-by-step explanation:

Answer:

Theorem is a statement that can be proven .

Hope it helps.

Answer:

160

Step-by-step explanation:

because 360 is the total and 50 plus 50 is 100 subtract that by 360 and it's 160

Answer:

w⁴ + 3w³ + 11w² + 6w + 18

Step-by-step explanation:

Rectanle area = height * width

area = (w²+3w+9)(w² + 2)

        = w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2

        = w⁴ + 2w² + 3w³ + 6w + 9w² + 18

        = w⁴+ 3w³ + (9w²+2w²) + 6w + 18

        = w⁴ + 3w³ + 11w² + 6w + 18

Answer:

w^4 + 3w^3 + 11w^2 + 6w + 18.

Step-by-step explanation:

Area = height * width

= (w^2 + 2)(w^2 + 3w + 9)

= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)

= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18

= w^4 + 3w^3 + 11w^2 + 6w + 18.

Answer:

f(a+2)=3(a+7)+4/(a+2)

Step-by-step explanation:

To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.

Explanation:

If

f(x)=3(x+5)+4/x

Then  

f(a+2)=3(a+2+5)+4/a+2

Simplifying gives:

f(a+2)=3(a+7)+4/(a+2)

Answer:

cge

Step-by-step explanation: