Combine like terms to create an equivalent expression. 2/5m - 4/5 - 3/5m.

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:

10

Step-by-step explanation:

Proportional relationships are written in the form y = kx where k is the constant of proportionality. In this case, k = 10 so the answer is 10.

Answer: 2/23

Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number  that means we have to find the distance of   from the origin of a number line.

Distance of  from the origin is  . As distance can never be negative.

Therefore, the absolute value of  is 2/23 .

Distributive Property.

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:

cge

Step-by-step explanation:

Answer: 15/143. cannot be simplified

Answer:

15/143

Step-by-step explanation:

5/13 * 3/11

(5*3)/(13*11)

which is equal to 15/143

no factor can go in the two numbers at the same time

therefore it can not be simplified

the final answer is 15/143

Answer:

About 66 tubes

Step-by-step explanation:

Cylinder surface area formula: 2πr(h + r) where h = height and r = radius

In this case, h = 14, π = 3.14 and r = 4.5 so the surface area of one pottery is:

2 * π * 4.5 * (14 + 4.5) = 166.5π ≈ 523.08

The surface area of 15 potteries would be 523.08 * 15 = 7846.2 so it would take 7846.2 / 120 = 65.385 ≈ 66 tubes. We round to the nearest integer because in this context, you can only have integer values of tubes, you can't have, say, 0.5 tubes.

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:3x • (2x2 - 3)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  3 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 ((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)

STEP  

2

:

Equation at the end of step

2

:

 ((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)

STEP  

3

:

Equation at the end of step

3

:

 ((3 • (x3)) +  22x2) +  (3x3 - 4x2 - 9x)

STEP  

4

:

Equation at the end of step

4

:

 (3x3 +  22x2) +  (3x3 - 4x2 - 9x)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1     Pull out like factors :

  6x3 - 9x  =   3x • (2x2 - 3)  

Trying to factor as a Difference of Squares:

6.2      Factoring:  2x2 - 3  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  2  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

 3x • (2x2 - 3)

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:

x must equal y

Step-by-step explanation:

|x−y| = 0

For this to be true

x-y = 0

That means x-y+y = 0+y

x=y

Answer:

Length = 42 feet

Width = 21 feet

Step-by-step explanation:

Let the length and width be represented by L and W

L = 2W

Perimeter (P) = 126 feet

2(L + W) = 126

L + W = 126/2 = 63

2W + W = 63

3W = 63

W = 63/3 = 21 feet

L = 2W = 2 × 21 feet = 42 feet

Answer:

Its already a decimal because its no longer a fraction.

Step-by-step explanation:

35000/1 = 35000 or 35000.0

Unless you have:

35000/10 = 3500.0

35000/100 = 350.00

35000/1000 = 35.000

35000/10000 = 3.5000

and so on...

Answer:

It's already a decimal

Step-by-step explanation:

Also there is no "and" signifying the decimal point, so i can't really help, sorry

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:

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:

40

Step-by-step explanation:

Variability is a measures of the interquartile range of a given set of data. The greater the interquartile range, the more the variability.

The interquartile range (IQR) = Third quartile (Q3) - First Quartile (Q1)

IQR for City A = 70 - 40 = 30

IQR for City B = 80 - 40 = 40.

City B has a greater IQR value, therefore, it has the greater variability in temperature.

The interquartile range for the city with greater variability is 40.

Answer:

Step-by-step explanation:

Since ∆LMM is a triangle all it's interior angles sum up to 180°

To find M add up all the angles and N and equate it to 180° to find N

That's

L + M + N = 180

33 + N + 79 = 180

N + 112 = 180

N = 180 - 112

We have the final answer as

Hope this helps you

Answer:

  25.2 gallons per week

Step-by-step explanation:

  [tex]\dfrac{12\text{ cups}}{5\text{ h}}\times\dfrac{24\text{ h}}{1\text{ da}}\times\dfrac{7\text{ da}}{1\text{ wk}}\times\dfrac{1\text{ gal}}{16\text{ cups}}=\dfrac{12\cdot24\cdot7\text{ gal}}{5\cdot16\text{ wk}}=\boxed{25.2\text{ gal/wk}}[/tex]

Answer:

7× greater than or equal to 50

Step-by-step explanation:

it won't let me put the sign but I think that the correct answer

Answer: x-2

Step-by-step explanation:

Given

4(x-2)-3(x-2)

Distributive property

=4x-8-3x+6

Move the like terms together

=4x-3x-8+6

combine like terms. REMEMBER you need to change signs if it is negative signs outside

=x-(8-6)

Simplify

=x-2

Hope this helps!! :)

Please let me know if you have any question.

Answer:

d = 13  (distance between two points)

Step-by-step explanation:

(4, -2) and (-1, 10)

(X1, Y1)  and (X2, y2)

distance between two points = d = sqrt (X2 - X1)² + (Y2 - Y1)²

d = √ (-1 - 4)² + (10 - (-2))²

d = √25 + 144

d = √169

d = 13  (distance between two points)

Answer:

[tex]x=\frac{-10-z}{y}[/tex]

Step-by-step explanation:

1 Subtract z from both sides.

[tex]-10-z=xy[/tex]

2 Divide both sides by y

[tex]\frac{-10-z}{y} =x[/tex]

3 Switch sides.

[tex]x=\frac{-10-z}{y}[/tex]

2nd question

Answer: [tex]j=-\frac{4}{k-h}[/tex]

Step-by-step explanation:

1 Subtract h from both sides

[tex]-\frac{4}{j} =k-h[/tex]

2 Multiply both sides by j.

[tex]-4=(k-h)j[/tex]

3 Divide both sides by k−h.

[tex]-\frac{4}{k-h}=j[/tex]

4 Switch sides.

[tex]j=-\frac{4}{k-h}[/tex]

Answer:

[tex]\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Solving for x:

[tex]-10=xy+z[/tex]

Subtracting z from both sides:

[tex]-10-z=xy[/tex]

Divding both sides by y:

[tex]\displaystyle \frac{-10-z}{y} =x[/tex]

Solving for j:

[tex]\displaystyle h-\frac{4}{j} =k[/tex]

Subtracting h from both sides:

[tex]\displaystyle - \frac{4}{j} =-h+k[/tex]

Multiplying both sides by j,

then dividing both sides by (-h + k):

[tex]\displaystyle - \frac{4}{-h+k} =j[/tex]

Simplifying the equation:

[tex]\displaystyle \frac{4}{-(-h+k)} =j[/tex]

[tex]\displaystyle \frac{4}{h-k} =j[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

If the bicyclist travels 7 km for every 5 minutes then it is directly proportional

5 min        7 km

15 min          x

[tex]x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km[/tex]

Answer:

40.135

Step-by-step explanation:

Use a calculator?

Answer:

50,000

Step-by-step explanation:

10*5,000=50,000

Answer: 50,000

Step-by-step explanation:

10× 5,000= 50,000

Or

Just add one zero to 5,000 :)

Hope this helps :)

Answer:

7 x 60 = 420

420 x 60 = 25,200

25,200 feet per hour

Step-by-step explanation:

pls make me as brainleist

Answer:

[tex]\$10x + \$94\geq\ \$194[/tex]

Step-by-step explanation:

Given

Wage = $10 per hour

Savings = $94

Stereo = $194

Required

Represent the scenario using an inequality

From the question, x represents the number of hours.

If his wage is $10 per hour then, his wage is $10x in x hours

Solving further;

For George to afford the stereo, the sum of his wages and savings must be greater than or equal to the cost of the stereo

Mathematically, this is:

[tex]Wages + Savings \geq\ Stereo[/tex]

Substitute right values for the above expression

[tex]\$10x + \$94\geq\ \$194[/tex]

The options are not well presented, hwever the solution is [tex]\$10x + \$94\geq\ \$194[/tex]

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.