y=5/3x -15 in general form

Answer:

Does the answer help you?

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

12cm²

Step-by-step explanation:

a=l·w

the easiest way to find the area is to break up the shapes.

the smaller shape is 1cm by 2cm

1·2= 2 cm

the larger shape is 5cm by 2cm

5·2= 10 cm

add them

2+10= 12cm

Answer:

12cm^2

Step-by-step explanation:

These are two rectangles if we divide.

So,

Area of rectangle = length × breadth

So we will name the bigger rectangle as R1 and the smaller rectangle as R2.

So,

Area of R1 = l × b

Area of R1 = 5×4

Area of R1 = 5 × (4-2)

Area of R1 = 5 × 2

Area of R1 = 10 cm^2

Area of R2 = l × b

Area of R2 = (4-2) ×1

Area of R2 = 2 × 1

Area of R2 = 2cm^2

So,

Area of complete figure = Area of R1 + Area of R2

Area of complete figure = 10 + 2

Therefore, Area of complete figure = 12cm^2

Hope it helps!!!!

The measure of a length of 10cm on the scale is 1/6 units

From the question, we have the following parameters that can be used in our computation:

Scale = 1 : 60

For a length of 10 cm, we have

Actual length = 10 cm

This means that

Scale ; 10 cm = 1 : 60

Express as fraction

So, we have

Scale/10 cm = 1/60

When evaluated we have

Scale = 1/6 units

Hence, the measure of a length of 10cm on the scale is 1/6 units

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Answer:

Step-by-step explanation:

a-b=21

5a-2b=18

Using elimination, we have

5a-5b=105

5a-2b=18

So:

3b=-87 so b=-29

Substituting, a=-8

(a,b)=(-8,-29)

Answer:

V 18x4  

Step-by-step explanation:

Answer:

\(226.2m^2\)

Step-by-step explanation:

\(A_L=2\pi rh=2*\pi *4.5*8\\=226.19467\\=226.1947\\=226.195\\=226.2m^2\)

The number of fluid ounces of lemonade made by James and Eric is a

multiple of the number pitchers mixed.

The number of pitchers James and Eric mix = 6 pitchers each

Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces

Volume of lemonade Eric makes per pitcher = 32 fluid ounces

Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces

Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces

Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces

Volume of lemonade per glass = 8 Ounces

Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses

Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;

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The sum ​(5.3x+4​)+​(−4.7x+7​) is ​0.6x+11.

The sum of two or more numbers, magnitudes, quantities, or specifics as established by or as if determined by the mathematical addition process: 14 is the result of the combination of 6 and 8. a specific sum, particularly when referring to money: The costs were a huge amount. The outcome of adding two or more numbers or phrases is known as the sum in mathematics. As a result, the sum serves as a means of bringing everything together. To put it another way, combining two or more numbers yields a new outcome or sum.

(5.3x+4)+(-4.7x+7)

Determine the sign.

5.3x+4-4.7x+7

Combine like terms.

0.6x+11

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Answer:

7 dollars

Step-by-step explanation: 3 dollars for pickup=3

4miles=4

3+4=7

Answer:

$7

3 + 1m

Step-by-step explanation:

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

Answer: The answer is 19

Step-by-step explanation:

The solution of the system of linear equations has infinitely many solutions.

Linear equation is defined as an algebraic equation of the form y=mx + b. involving only a constant and a first-order term, where m is the slope and b is the y-intercept.

Here we have given that the following linear equations are given then are listed as follows:

x + y = 4

y + z = 4

x + z = 4

ax + by + cz = 0

Here we have know that the  sub-system consisting of 3 first equations has a unique solution x = y = z = 2.

While we add the fourth equation, then it becomes look like as follows:

=> 2a + 2b + 2c = 0

When we simplify this one then we get,

=> a + b + c = 0.

Which means that if  a + b + c = 0,   then the system of 4 equations has a unique solution otherwise it is IMPOSSIBLE to this system to have infinitely many solutions.

Complete Question:

Try to find values of a, b, and c (if possible) such that the system of linear equations has a unique solution, no solution, and infinitely many solutions. (If not possible, enter IMPOSSIBLE.)

x + y = 4

y + z = 4

x + z = 4

ax + by + cz = 0

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Answer:

d=90 e=27 f=153

Step-by-step explanation:

since 90 is one half of 180 if d was any bigger or smaller the the information given would be incorrect.

e is 27 since vertical angles

f is 157 since a line is equal to 180 and since e is 27 you subtract 27 from 180

Answer: 20

Step-by-step explanation:

I guess that we want to distribute all the 7 candies between 4 kids

We have 3 options:

first 3, 2, 1 and 1. (the number of candies that each kid gets)

The possible permutations in this case:

if we leave the 3 fixed, the ones do are equal, so the permutations are only given by the change in the kid that gets 2 candies, we have 3 permutations for this.

And for the fixed 3, we have 4 possible places where we can fix it, so the total number of combinations is:

c = 3*4 = 12.

and the second option is (2, 2, 2, 1)

Here the only change is the kid that gets only one candy, we have 4 options in this case:

c = 4.

the third option is (4, 1, 1, 1)

Here the only change is the kid that gets 4 candies, and we have 4 options for this, so we have 4 combinations:

c = 4.

Then the total number of possible combinations is:

C = 12 + 4 + 4 = 20

Answer:

25

Step-by-step explanation:

r = 6

19 + r

= 19 + 6

= 25

25 is the answer.

Answer:

The answer is 25

Step-by-step explanation:

19 + r; r = 6

19 + r

19 + 6 = 25

Thus, The answer is 25

-TheUnknownScientist

The class width is determined by the formula

Given that

max = 83

min = 12

n = 6

THEN substitute the following values and we get

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

40885

Step-by-step explanation:

(2022-2010)= 12 years

population= 22000(1+(5.3/100))^12= 40884.92

= 40885

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

Answer:

I believe it is D. not sure tho

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

B. 96 ft by 64 ft

Step-by-step explanation:

Scale of drawing = 1 cm to 8 ft

Length of garden on paper = 12 cm

Actual length of garden = 12 × 8 = 96 ft

Width of garden on paper = 8 cm

Actual length of garden = 8 × 8 = 64 ft

Actual dimensions of the school garden would be 96 ft by 64 ft

Given:

A musician plans to perform 5 selections.

To find the total number of possible ways he can arrange the musical selections:

At the first time, there are 5 possibilities to make the musical selections.

At the second time, there will be 4 possibilities to make the musical selections.

At the third time, there will be 3 possibilities to make the musical selections.

At the fourth time, there will be 2 possibilities to make the musical selections.

At the fifth time, there will be 1 possibility to make the musical selections.

So, we have,

Hence, the answer is 120 ways.

Step-by-step explanation:

please mark me as brainlest

The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

What is one to one function?

One to one function or one to one mapping states that each element of one set, say Set (A) is mapped with a unique element of another set, say, Set (B), where A and B are two different sets. It is also written as 1-1. In terms of function, it is stated as if f(x) = f(y) implies x = y, then function f is one to one.

The function, f(x), is a one to one function when one unique element from its domain will return each element of its range. This means that for every value of x, there will be a unique value of y or f(x).

f ( x₁ ) = f ( x₂ ) if and only if x₁ = x₂

Given data ,

Let the function be f ( x )

where f ( x ) = y

So , the equation will be

y =  2 ( x + 5 )² - 6

Now , on simplifying the equation , we get

y = 2 ( x² + 10x + 25 ) - 6

y = 2x² + 20x + 50 - 6

y = 2x² + 20x + 44

Therefore , the function is f ( x ) = y = 2x² + 20x + 44

Now , replace y with x , we get

f ( y ) = x = 2y² + 20 y + 44

And f ( x₁ ) = f ( x₂ )

So , the function is one to one function

Hence , The function f ( x ) = y = 2 ( x + 5 )² - 6 is a one to one function

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Answer:

1,254 sqaure ft

Step-by-step explanation:

Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.

The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

Use the radius of the circle, 20/2 =10, to find the area of the circle:

A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.

The area of the triangle is:

A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568

The area of the shaded region equals the area of the triangle and subtracts the area of the circle.

This is approximately 1,568 - 314 = 1,254 square meters.

Hence, the correct answer would be an option (B).

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