Which steps will eliminate y from the given system of equations?
2x + 3y = 6
3x – 2y = 4

Answer:

n(A)+n(B)-49/400=n(AUB)

n(B)=1-7/20+49/400

n(B)=(400+49-140)/400

n(B)=309/400

Answer:

y=-5x+25

Step-by-step explanation:

because she is loosing 5 dollars it would be a negative and since we are starting off with $25 that's our y intercept

Answer:

$25-$5=x

Step-by-step explanation:

Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).

The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

To know more about vertex visit:

brainly.com/question/30940247

#SPJ1

The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

To know more about vertex visit:

brainly.com/question/30940247

#SPJ1

Answer:

16.) 35%

17.) 56%

18.) 5%

Step-by-step explanation:

Look at the denominator. How many times does it go into 100? For example, for the first one, 20 goes 5 times into 100. So I would multiply 7 and 5, and I would get 35.

The equation of the line is (y - 1/12) = -4/3(x - 7/5).

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively.

Consequently, the formula for the change in the y-coordinate with respect to the change in the x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line can be depicted by

tan θ = Δy/Δx

So, the slope of a line is tan.

The given equation of a line is:

3x-4y=7

-4y = -3x + 7

y = 3/4 x - 7/4

The slope of the line is 3/4.

The slope of the line perpendicular to the given line is - 1/m = - 4/3

The point-slope of a line is y - y₁ = m(x - x₁).

The given point is (7/5,1/12)

The equation of the line is

(y - 1/12) = -4/3(x - 7/5)

To learn more about equation of line, click on the below link:

https://brainly.com/question/10853937

#SPJ1

Answer:

5/12

Step-by-step explanation:

January February March April May June July August September October November December

Five months out of twelve start with M or J so the probability is 5/12.

Answer:

1/4

Step-by-step explanation:

there are 3 outta 12 months that start with a J and simplify that gives you 1/4

oh oops dont listen to this its wrong

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

Answer:

A. Two triangles and one rectangle.

Step-by-step explanation:

A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:

                                      sum of angles = (n - 2) x 180

So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.

Answer:

y = 15

Step-by-step explanation:

We can use ratios to solve

y          10

----- = ------------

33            22

Using cross products

22y = 10 *33

Divide each side by 22

22y/22 = 10 *33/22

y = 15

Answer:

15

Step-by-step explanation:

The similarity ratio is 22/ 10 and 33/y and 12/x

22/10 = 33/y cross multiply expressions 22y = 330 and y = 15

Answer16.2

Step-by-step explanation:

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

61.2

Step-by-step explanation:

To solve this, we would have to use the arithmetic progression formula

S(n) = a + (n - 1) d, where

S(n) = is the value of the nth term

a = value of the first term

n = the nth term we're interested in

d = difference between successive terms

We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44

If so, we can use this to get our "d", saying

44 = 1 + (6 - 1) d

where

44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have

44 = 1 + 5d

5d = 44 - 1

5d = 43

d = 43/5

d = 8.6

This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term

S(n) = 1 + (8 - 1) 8.6

S(n) = 1 + 7 * 8.6

S(n) = 1 + 60.2

S(n) = 61.2

Therefore, the 8th term is 61.2

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

For such more questions on mathematics

https://brainly.com/question/29892643

#SPJ8

The equation of the line with y - intercept (0, 6) is \(y = -\frac{3}{2}x + 6\).

What is tangent?

The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.

Given:

Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.

That is there are two points (4, 0) and (0, 6).

From these two points we have to find the slope of the line.

\(m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}\)

Now to use point slope form of the line.

\(y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6\)

Hence, the equation of line is, \(y = -\frac{3}{2}x + 6\).

To know more about tangent, click on the link

https://brainly.com/question/4470346

#SPJ1

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = \(\frac{1.4}{100}\) x 130

                  = 0.014 x 130

                  = 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

Answer:

3 and 10

Explanation:

5 * 3 is 15 and 5 + 10 is 15.

Work is the process through which energy is transferred to the motion of an object by exerting force.  SI unit of work is joule (J)

Power is energy transferred over a period of time .  the unit is  Joule / second

Energy is the ability to perform work in physics. the unit is Joule.

Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. For a constant force acting in the same direction as the motion, the work is simply equal to the product of the force's magnitude and the distance traveled.

Learn more about energy at:

https://brainly.com/question/8101588

#SPJ1

To solve this question let's represent our situation by an expression.

If we consider "x" as the value for tickets at the event, so "x-2" represent the value for pre-sale tickets. And once we have the number of each tickets (54 units for pre-sale and 82 units for tickets at the event) we have sold and also the amount the group raised ($980), now we can create our expression and find "x":

Now we have:

Tickets at the event : x = $8

Pre-sale: x-2 = 8-2 = $6

And those are the final answers.

To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:

For such more question on equations

https://brainly.com/question/22688504

#SPJ8

Answer:

Step-by-step explanation:

3.5x - 10 > -3

3.5x > 7

x > 2

8x - 9 < 39

8x < 48

x < 6

x > 2 and x < 6

Answer:

Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!

Step-by-step explanation:

Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

More about volume :

https://brainly.com/question/16693593

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

Learn more on scale factors here: https://brainly.com/question/28822248

#SPJ1

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

Read more about equation at

https://brainly.com/question/27887972

#SPJ1

Answer: 4.8

Step-by-step explanation:

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

Learn more about distance between two points:

https://brainly.com/question/23848540

https://brainly.com/question/7243416

https://brainly.com/question/15973889

#SPJ1

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

1/3 * 4/5 = 4 / 15

Answer:

MC = 4.5cm

Step-by-step explanation:

Question:

Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M ​​and the perimeter of the triangle AMC = 12 cm. Calculate MC.

Solution:

Find attached the diagram used in solving the question.

Given:

∆ABC is an isosceles triangle (two sides and angles are equal)

AB = BC = 3cm

Perimeter of ∆AMC = 12cm

From the diagram, M cuts AC at the the middle.

AD = CD = AC/2 = 3/2

Perimeter of Right angled ∆AMD = AM + AD + MD

= 3/2 + AM +MD

Perimeter of Right angled ∆CMD =CM + CD + MD

= 3/2 + CM +MD

Right angled ∆AMD = Right angled ∆CMD

CM = AM

Therefore ∆AMC is an isosceles triangle

CM = AM (two sides of an isosceles triangle are equal)

Let CM = AM = x

Perimeter of ∆AMC = AM + CM + AC

12 = x + x + 3

12 = 2x + 3

2x = 12-3

2x = 9

x = 9/2 = 4.5

CM = AM = 4.5cm

MC = CM = 4.5cm

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)