What is the solution of the system? Use substitution.
y= 4x + 4
y = 5x

The range of possible distances from the beach to the theater is 2 km to 16 km, calculated by subtracting the distance between the theater and the house (7 km) from the distance between the beach and the house (9 km), and adding it back.

To calculate the range of possible distances from the beach to the theater, we can use the information provided

Start with the distance between the beach and the house: 9 km.

Subtract the distance between the theater and the house: 7 km.

9 km - 7 km = 2 km.

This gives us the minimum possible distance from the beach to the theater: 2 km.

Add the distance between the theater and the house: 7 km.

9 km + 7 km = 16 km.

This gives us the maximum possible distance from the beach to the theater: 16 km.

Therefore, the range of possible distances is from 2 km to 16 km.

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--The given question is incomplete, the complete question is given below " Describe the range of possible distances from the beach to the theater "--

Step-by-step explanation:

c

The correct option is c.Keep going.

Create a regression model and be able to optimize it, it is much better that all factors are on a scale. The answer is option c.Keep going.Regression analysis is an important statistical method that is commonly used in finance and other fields for prediction purposes. It is useful for finding the relationships between one dependent variable and one or more independent variables. In order to create an efficient regression model, the variables should be measured on a scale. Therefore, it is important to measure variables on a scale, as this makes it easier to create a regression model. If variables are categorical or binary, it becomes difficult to measure their relationship with the dependent variable using regression models as they are not measurable on a scale. This is why it is much better that all factors are on a scale while creating a regression model and optimizing it. Thus, the correct option is c.Keep going.

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Answer:

80 degrees

Step-by-step explanation:

The 132-deg angle is an exterior angle of the left triangle.

The 52-deg angle is a remote interior angle to the exterior angle above.

Angle VZY is also a remote interior angle to the exterior angle above.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

We use the theorem above to find the measure of angle VZY.

52 + m<VZY = 132

m<VZY = 80

Angles WZX and VZY are vertical angles, so they are congruent.

m<WZX = m<VZY = 80

Answer: 80 degrees

Answer:

m∠WZX = 80°

Step-by-step explanation:

Angle V is a flat angle, so it measures 180°.

Find ∠YVZ (blue angle): 180° - 132° = 48°

Triangle VYZ is 180° (all triangles are 180°).

Find ∠YZV (red angle): 180° - 52° - 48° = 80°

Since you know ∠YZV, you can find ∠WZX (green angle).

∠YZV and ∠WZX are opposite angles, so they are congruent.

Therefore, ∠WZX = 80°

Hope this helps :)

The statement that is true about equations and expressions is that an example of an equation is because it shows that two expressions are equal.

While an example of an expression is because it is a mathematical phrase represented by numbers, a variable, and an operation.

An equation is a mathematical statement where two expressions are equal. It's important to note that an equation has an equals sign, so the left side of the equation is equal to the right side of the equation.

Expressions are combinations of numbers, symbols, and operators that represent a value. A symbol or letter that represents a value is a variable. It's important to note that an expression does not have an equals sign, so the value of the expression is not defined.Why is an example of an equation true?An equation can be written in the form x = y. The equals sign indicates that x and y are equal. This means that two expressions, x and y, are equal. Therefore, an equation shows that two expressions are equal.

An example of an equation is 3x + 4 = 10. This equation is an example of an equation because it shows that two expressions, 3x + 4 and 10, are equal. The left side of the equation (3x + 4) equals the right side of the equation (10). Therefore, this statement is true: "An example of an equation is because it shows that two expressions are equal."

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Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is \(-\dfrac{\sqrt{3}}{2}\) are \(\dfrac{4\pi}{3}\) and \(\dfrac{5\pi}{3}\), otherwise known as \(-\dfrac{\pi}{3}\). Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show \(-\dfrac{\sqrt{3}}{2}\).

480 miles far away does Michael live from the mountains.

Given that,

Last weekend, Michael drove to the mountains.

The journey there took 12 hours due to the dense traffic.

There was no traffic when Michael took the drive home, and it only took eight hours.

On the journey home, if his average speed was 20 miles per hour higher,

We have to find how far away does Michael live from the mountains.

We know that,

Take s as speed to the mountains

Then

(s+20) = his return speed

The distance each way is the same,

We know that

Distance = speed * time

12s = 8(s+20)

12s = 8s + 160

12s - 8s = 160

4s = 160

s = 160/4

s = 40 mph

Then

40 * 12 = 480 miles

Therefore, 480 miles far away does Michael live from the mountains.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10x + 10 and 110 are vertical angles and are congruent, thus

10x + 10 = 110 → D

Subtract 10 from both sides

10x = 100 ( divide both sides by 10 )

x = 10

Answer:

23.27

Step-by-step explanation:

27.87 - 4.6 = 23.27

Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.

Answer:

Yes, Rudy is correct

Explanation:

Number of sides of a hexagon = 6

The sum of all interior angles of a polygon with n sides  = (n-2)*180

Here, since a regular hexagon has 6 sides, n = 6

= (6 - 2)*180

= 4*180

= 720 degrees

Hope it helps :)

Have a great day!

Answer:

70

it's angle is above 45 so yeah

Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

Answer:

b

Step-by-step explanation:

boxes tend to be heavier

Answer:

There are 1,680 Girls

Step-by-step explanation:

1 ratio = 240

5 ratio = 1,200

7 ratio = 1,680

Therefore, 5:7 = 1,200 : 1,680

The total amount of water Keisha drinks in 12 days is 12 + 18 = 30 quarts.

Algebra is a branch of mathematics that involves using letters and symbols to represent numbers and quantities in mathematical equations and formulas. It includes a variety of topics, such as solving equations, manipulating expressions, working with functions and graphs, and studying abstract structures such as groups and rings.

At its core, algebra is about understanding the relationships between numbers and how they can be manipulated using various operations such as addition, subtraction, multiplication, and division. Algebraic expressions can be used to model real-world situations and solve problems in fields such as physics, engineering, and finance.

To find the total amount of water Keisha drinks in 12 days, we need to add up the amounts of water she drinks each day:

1 1/2 + 2 1/4 + 2 + 1 1/2 + 1 3/4 + 1 1/2 + 1 1/4 + 2 + 2 1/4 + 1 1/2 + 2 + 1 1/2

We can simplify the mixed numbers by converting them to improper fractions:

3/2 + 9/4 + 2 + 3/2 + 7/4 + 3/2 + 5/4 + 2 + 9/4 + 3/2 + 2 + 3/2

Then we can add the fractions together:

(3/2 + 3/2 + 3/2 + 2 + 2 + 2) + (9/4 + 7/4 + 5/4 + 9/4 + 3/2 + 3/2)

Simplifying the sum of the whole numbers, we get:

12

Simplifying the sum of the fractions, we get:

(18/4 + 14/4 + 10/4 + 18/4 + 6/4 + 6/4) = 72/4 = 18

So the total amount of water Keisha drinks in 12 days is:

12 + 18 = 30 quarts.

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The complete  question is:

For 12 days, Keisha keeps track of how much water she drinks per day. 1 1/2 quarts, 2 1/4 quarts, 2 quarts, 1 1/2 quarts, 1 3/4 quarts, 1 1/2 quarts, 1 1/4 quarts, 2 quarts, 2 1/4 quarts, 1 1/2 quarts, 2 quarts, 1 1/2 quarts. What is the total amount of water that Keisha drinks the 12 days?

Answer:

Give M the statement of this question

Answer:

The 3rd answer

Step-by-step explanation:the

180-30\2

....

=75

30+2*75=

...

180

Answer:

30 + 2x = 180

Step-by-step explanation:

This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".

Also, x = 75.

Here:

30 + 2x = 180

30 - 30 + 2x = 180 - 30

2x = 150

2x / 2 = 150 / 2

x = 75

HOPE THIS HELPED!! HAVE AN AWESOME DAY!

The volume of the first cylinder is 395.64 cubic inches and the second cylinder is 98.91 cubic inches.

The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold. In geometry, there is a specific volume of a cylinder formula that is used to measure how much amount of any quantity whether liquid or solid can be immersed in it uniformly. A cylinder is a three-dimensional shape with two congruent and parallel identical bases.

Assuming the second cylinder has the same height as the first cylinder, we can compare their volumes with one another.

v = πr²h

In the first cylinder;

diameter = 6 inches

radius = diameter / 2

radius = 6 / 2 = 3 in

v = πr²h

v = 3.14 * 3² * 14 = 395.64in³

The volume of the second cylinder will be

diameter = radius * 2

radius = diameter / 2

radius = 3/2 = 1.5in

v = πr²h

v = 3.14 * 1.5² * 14

v = 98.91in³

The volume of the first cylinder is 395.64in³ while the second cylinder is 98.91in³.

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Answer:

x=-2

Step-by-step explanation:

O(logm) is O(log n) in the context of a simple connected graph with n vertices and m edges.

O(logm) is O(log n) in the context of a simple connected graph with n vertices and m edges, we need to consider the relationship between the number of vertices (n) and the number of edges (m) in the graph.

In a simple connected graph:
1. There are no self-loops or multiple edges between the same vertices.
2. All vertices are connected, which means there is a path between every pair of vertices.

Now, let's examine the relationship between n and m:
1. The minimum number of edges needed to connect all vertices in a simple connected graph is (n - 1), which forms a tree structure.
2. The maximum number of edges possible in a simple connected graph without creating self-loops or multiple edges is given by the formula n(n-1)/2, which results in a complete graph.

Now, we can compare the growth rates of m and n. Since m is bound by n-1 and n(n-1)/2, we can say that n-1 <= m <= n(n-1)/2. Therefore, when we take the logarithm of these terms, we get log(n-1) <= log(m) <= log(n(n-1)/2).

Asymptotically, the left and right side terms in the inequality above are both O(log n), which means that log(m) is also O(log n). In other words, the growth rate of log(m) is also O(log n).

So, we can conclude that O(logm) is O(log n) in the context of a simple connected graph with n vertices and m edges.

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Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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Step-by-step explanation:

Forty-eight boys are in the class.

4:8

24 students

24 represents 12 parts

24/12=2

2×4=8

8×2=16

Firstly, you turn 2 2/3 into an improper fraction, which will become

=4/3

Lastly, you multiply them, which would be 11/2 x 4/3=22/3=7 1/3

Step-by-step explanation:

the answer will be

11 x 22 / 2x3

that will give us

242/6

reducing it to the lowest term by dividing it by two that will give us 121 / 3

121 / 3 will give us 40.33

Answer:

0.5

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

When we add them, it's 2.5.

Now we divide.

Answer:

0.5

Step-by-step explanation:

2+(-2.5)+(-1)+0+4 =2.5

2.5/5 = 0.5

Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

Answer for A:

x = -56/31

Step-by-step explanation:

The total angle for a pentagon is 360°

100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360

100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360

If you copy that into a calculator you will get

360°

Answer for B:

The angle for C, rounded to the nearest tenth, is 44.9°

The approximate commission at the rate of 7% is $650.82

What is area of triangle?

The area occupied by a triangle is known as area of triangle. The area if computed as 1/2*base*height

We are given the, base of 1500 feet and a height of 600 feet

Hence the area of triangle can be given as

Area= 0.5*1500*600

Area= 450000 ft^2

Now 1 acre costs as 43560 sqft

Hence the area of triangle in acres is

Area in acres = \(\frac{450000}{43560}\)

Area in acres= 10.33

Hence total amount for which the piece of land is sold = 10.33*900

Total amount= $9297

Now we have to find the 7% of this amount

Hence

\(=\frac{9297*7}{100}\\=650.82\)

Hence the amount received as commission is $650.82

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