The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?

15

I guess so

Hope it is correct

Answer:

There are two possible solutions:

Clockwise rotation

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (10, -5)[/tex]

Step-by-step explanation:

There are two possible answers: (i) Clockwise rotation, (ii) Counterclockwise rotation. Vectorially speaking, rotation of point of rotation of a point about another point of reference is defined by:

[tex]P'(x,y) = O(x,y) + r_{OP}\cdot (\cos (\theta_{OP}\pm \theta'),\sin (\theta_{OP}\pm \theta'))[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]r_{OP}[/tex] - Length of the segment OP.

[tex]\theta_{OP}[/tex] - Direction of segment OP, measured in sexagesimal degrees.

[tex]\theta '[/tex] - Angle of rotation, measured in sexagesimal degrees.

Please notice that clockiwise rotation occurs when [tex]\theta = \theta_{OP}-\theta'[/tex] and counterclockwise rotation when [tex]\theta = \theta_{OP}+\theta'[/tex]. In addition, we define length and direction of the segment below:

[tex]r_{OP} = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}[/tex] (1)

[tex]\theta_{OP} = \tan^{-1} \frac{y_{P}-y_{O}}{x_{P}-x_{O}}[/tex]

If we know that [tex]x_{O} = y_{O} = 0[/tex], [tex]x_{P} = 5[/tex], [tex]y_{P} = 10[/tex] and [tex]\theta' = 270^{\circ}[/tex], then the coordinates of the first car after rotation is:

[tex]r_{OP} = \sqrt{(5-0)^{2}+(10-0)^{2}}[/tex]

[tex]r_{OP} \approx 11.180[/tex]

Please notice that original point is located at first quadrant of the Cartesian plane centered at origin, then the direction of the segment OP is:

[tex]\theta_{OP} = \tan^{-1} \frac{10-0}{5-0}[/tex]

[tex]\theta_{OP} \approx 63.435^{\circ}[/tex]

The two solutions are finally presented:

Clockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (-206.565^{\circ}),\sin (-206.565^{\circ}))[/tex]

[tex]P'(x,y) = (-10,5)[/tex]

Counterclockwise rotation

[tex]P'(x,y) = (0,0) + 11.180\cdot (\cos (333.435^{\circ}),\sin (333.435^{\circ}))[/tex]

[tex]P'(x,y) = (10, -5)[/tex]

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Answer:

x+18=90-x

use this equation and solve

2x=72

x=36

36+18=54

90-54=36

54 degrees and 36 degrees

The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

let, one angle = x

x+18=90-x

use this equation and solve

2x=72

x=36

so, we get,

36+18=54

90-54=36

Hence, The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

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Answer:

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.

Answer:

let me think

Step-by-step explanation:

Answer:

Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

Answer:

Step-by-step explanation:

Firstly, we should begin to know what leveling off is.

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.

There is no continuous increase for the rotifers.

We have given that the scatter diagram

And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers.

That can be explained by carrying capacity.

The flask has limited space.

Therefore, there is no continuous increase for the rotifers.

To learn more about the scatter graph visit:

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Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

Answer:

7 horses,and 6 chickens

Step-by-step explanation:

you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result

Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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1 Expert Answer

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Edward C. answered • 02/10/15

TUTOR 5.0 (377)

Caltech Grad for math tutoring: Algebra through Calculus

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Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

To get more about linear equations visit:

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Answer:

Commutative Property

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

Answer:

D. x > 7

Step-by-step explanation:

The mine operates x hours per day and extracts 2 tons of ore per hour.

The amount of ore extracted as a function of hours of operation is

2x

The mine must produce 4 tons plus more than 10 tons each day. The mine must produce more than 14 tons in one day. That means that 2x must be greater than 14.

2x > 14

Divide both sides by 2.

x > 7

Answer: D. x > 7

Answer:

2x is equal to 45

e is equal to x and 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

[tex]\displaystyle m=-0.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-10, 6) → x₁ = -10, y₁ = 6

Point (-15, 7) → x₁ = -15, y₁ = 7

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

We will be using the above formula. The answer will be a bit rough.

Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).

x = -10 x² = -15

y = 6 y² = 7

7 - 6

m = ———

- 15 - (-10) = -15 + 10

1

m = ——— OR - 0.2

- 5

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

Answer:

x = (r-b) /a

Step-by-step explanation:

ax + b = r

Subtract b from each side

ax+b-b = r-b

ax = r-b

Divide each side by a

ax/a = ( r-b)/a

x = (r-b) /a

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

Answer:

uh 3x+24 only if the the number is x if it is definite just plug it in to the equation

Step-by-step explanation:

Answer:

V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed

Step-by-step explanation:

Answer:

la respuesta es capó la B

Step-by-step explanation:

xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero

Answer:

It would be [tex]4^{8}[/tex]

Step-by-step explanation:

[tex](4^{2})^{4}[/tex] is equivalent to [tex]4^{2*4}[/tex] or [tex]4^{8}[/tex].

Answer:

x=19

Step-by-step explanation:

20/36=30/(x+5+30)

20(x+35)=30(36)

20x+700=1080

20x=380

x=19

11/30 + 7/30 = 18/30

30/30 - 18/30 = 12/30

12/30 = 0.4

40% liked neither.

Answer:

percent of classmates looked liked neither of 'em=40%

Step-by-step explanation:

students who liked chocolate cake=11

students who liked white cake=7

students who didn't like either of it=30-18=12

percentage of ''=[tex]\frac{12}{30}[/tex] ×100=40%