What is the value of y at which the lines 6x + 2y =30 and y =0.5x+1 intersect?

What Is The Value Of Y At Which The Lines 6x + 2y =30 And Y =0.5x+1 Intersect?

Answers

Answer 1

Answer:

The y coordinate is 3

Step-by-step explanation:

We are given a system of linear equations and we need to find the y coordinate. We will find the y coordinate via substitution.

[tex]6x+2y=30[/tex]

[tex]y=0.5x+1[/tex]

Since we are already given the value of y, we can plug in the value into the 1st equation and solve for x.

[tex]6x+2(0.5x + 1) = 30[/tex]

Distribute 2

[tex]6x+x+2=30[/tex]

Add like terms

[tex]7x+2=30[/tex]

Subtract 2 on both sides

[tex]7x=28[/tex]

Divide by 7

[tex]x=4[/tex]

We now have the value of the x coordinate which we can plug into the second equation which will make it easier for us to find y.

[tex]y=0.5(4) +1[/tex]

Multiply

[tex]y=2+1[/tex]

Add

[tex]y=3[/tex]

So the y coordinate is 3.

Answer 2
The answer is y=3 i know u alr got help but i needed points srry

Related Questions

Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot

Answers

This line plot shows the measurements of cars and trucks in half-inch increments from 3 inches to 12 inches.

What is line plot?

A line plot, also known as a dot plot or a dot chart, is a simple graph that displays data along a number line. In a line plot, each data point is represented by a dot or other symbol above its location on the number line. The dots are used to indicate the frequency or number of times each value occurs in the data set. Line plots are often used to display small to moderate-sized data sets and are especially useful for displaying categorical or discrete data. They are simple to create and interpret, making them a popular tool in data analysis and visualization.

Here,

A line plot is a graph that displays data along a number line, with X's or other marks above each value to indicate how many times it appears in the data set. To create a line plot from the measurements of the cars and trucks, you would follow these steps:

Choose a scale for the number line that includes all the measurements. For example, you could use a scale where each unit represents 1 inch, and the number line goes from 0 to 12 inches.

Make a dot for each measurement at the corresponding location on the number line. For example, if a car measures 5.5 inches, you would make a dot above the number 5.5 on the number line.

Repeat step 2 for each measurement, placing each dot above the corresponding value on the number line.

Count the number of dots above each value on the number line and make an X or other mark above the corresponding value to indicate how many times it appears in the data set.

Connect the X's or marks above each value to create a line that shows the frequency of each measurement.

Here is an example of what the completed line plot might look like:

        X

3        X

3  X     X

4  X     X

4  X     X

5  X     X

5  X  X  X

6  X  X  X

6  X  X  X

7  X  X  X

7  X  X  X

8  X  X  X

8  X  X  X

9  X  X  X

9  X  X  X

10  X  X  X

10  X  X  X

11  X  X  X

11  X  X  X

12  X  X  X

The X's above each value indicate how many times that value appears in the data set.

To know more about line plot,

https://brainly.com/question/29573088

#SPJ1

Complete question:

Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot.

        X

3        

3  

4  

4  

5  X     X

5  X  X  X

6  X  X  X

6  X  X  X

7  X  X  X

7  X  X  X

8  X  X  X

8  X  X  X

9  X  X  X

9  X  X  X

10  X  X  X

10  X  X  X

11  X  X  X

11  X  X  X

12  X  X  X

What is the height of the building ?

Answers

Answer:

The Answer Is 360

Step-by-step explanation:

Why Because If you Take 45 and 5 it is 9 Then Take 9 and Multiply 9 by 40 which takes you to 360

Answer:

The height of the building is 360 ft.

Step-by-step explanation:

Assuming the two given right triangles are similar, their corresponding sides will be the same ratio.  

Therefore, the ratio of height to base of the triangles is:

x : 45 = 40 : 5

To calculate the height of the building, solve the ratio for x.

[tex]\implies x:45=40:5[/tex]

[tex]\implies \dfrac{x}{45}=\dfrac{40}{5}[/tex]

[tex]\implies \dfrac{x}{45}=8[/tex]

[tex]\implies \dfrac{x}{45}\cdot 45=8 \cdot 45[/tex]

[tex]\implies x=360\; \sf ft[/tex]

Therefore, the height of the building is 360 ft.

Which of the following inequalities has no solution?
O-4|s-20 < - 16
O 12s + 11 + 3 ≤2
O 13s +11-5> - 2
O 125-81 ≥ 0

Answers

Inequalities has no solution is -4|s-20| < - 16, So correct option is A.

Describe Inequality?

Inequality is a mathematical statement that describes the relationship between two expressions that are not necessarily equal. It is used to compare two quantities or values, indicating which one is greater than, less than, or equal to the other. Inequalities can be expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to).

For example, the inequality 3x < 15 compares the variable x to the constant 5, indicating that x is less than 5. This inequality can be solved by dividing both sides by 3 to obtain x < 5. Similarly, the inequality 2y + 4 ≥ 10 compares the variable y to the constant 3, indicating that y is greater than or equal to 3. This inequality can be solved by subtracting 4 from both sides and then dividing by 2 to obtain y ≥ 3.

The correct option is:

O-4|s-20| < - 16

To solve this inequality, first, we isolate the absolute value:

-4|s-20| < -16

Dividing both sides by -4 and flipping the inequality sign:

|s-20| > 4

Now we need to solve two inequalities:

s-20 > 4 and s-20 < -4

Simplifying each:

s > 24 and s < 16

These two inequalities cannot be true at the same time. Therefore, there is no solution to the original inequality.

To know more about solution visit:

https://brainly.com/question/22010462

#SPJ1

A student builds a robot with a mass of 12kg. To perform properly, it must move 25ft to pick up a ball and return it to the starting point. If its engine creates a net force of 0.14N, which expression would accurately calculate the acceleration of the robot?

Answers

The correct expression to calculate the acceleration of the robot is (a)0.14N / 12kg, which is approximately equal to 0.012 m/s^2.

To calculate the acceleration of the robot, we need to use the formula F = ma, where F is the net force applied, m is the mass of the robot, and a is the acceleration.

We know that the net force applied by the engine is 0.14N. To use this value in the formula, we need to convert it into the standard unit of force, which is Newtons (N). We also know that the mass of the robot is 12kg.

The correct expression to calculate the acceleration of the robot is option A, which is:

0.14N / 12kg

This expression represents the force per unit mass, which is the definition of acceleration. By dividing the net force of 0.14N by the mass of 12kg, we get the acceleration of the robot in m/s^2.

Option B is incorrect because it multiplies the mass and force, which does not give us the acceleration. Option C is incorrect because it adds the mass and force, which is not a valid operation. Option D is incorrect because it calculates the acceleration based on the distance traveled, which is not directly related to the force and mass of the robot.

In conclusion, the correct expression to calculate the acceleration of the robot is 0.14N / 12kg, which is approximately equal to 0.012 m/s^2.

Learn more about mass here:

https://brainly.com/question/941818

#SPJ1

Sampling variability would best be described as:

A) the statistic that is calculated from a random sample.
B) the distribution that is produced when many, many different random samples are selected and their statistics are collected and plotted on a dotplot.
C) the process used to collect many, many random samples.
D) the fact that different random samples of the same size from the same population will produce different results.

Answers

Answer:

D. the fact that different random samples of the same size from the same population will produce different results.

Step-by-step explanation:

trust me man

The sampling distribution would best be described as:

A) the distribution of values taken by the statistic in all possible samples of the same size from the same population.
B) the fact that different random samples of the same size from the same population will produce different results.
C) the distribution that is produced when we take a sample of size n.
D) the distribution that is produced by the entire population.

Answers

Answer: A) the distribution of values taken by the statistic in all possible samples of the same size from the same population.

A student has a displacement of 304 m north in 180 s. What was the student's average velocity.

Answers

Answer:

The student's average velocity will be "1.69 m/s".

Displacement and Velocity:

The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.

This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.

Given values:

Displacement, d = 304 m

Time, t = 180 s

We know,

The velocity (v):

= displacement/time

By substituting the values, we get

304/180=

1.69m/s

4. List two pairs of adjacent angles.
5. List all pairs of vertical angles.
6. If angle1 and angle3 are the same measure, what is the value of x?

Answers

4. Angle 1 and Angle 2, Angle 3 and Angle 4. (Or any two angles that share a common vertex and a common side)

5. Angle 1 and Angle 3. (Only pair, both angles are 90°)

6. 9x=90

    9x/9=90/9

    x=10

Some one pls!!!! 100 points and brainliest if correct!!! Pls number your answers to the questions! Thanks in Advance

Answers

1.

  a. m=0-6/5-4

      m=-6/1

      m=-6

  b. m=-10+4/-2+3

      m=-6/1

      m=-6

2.

  a. y=3x+2

  b. y=-x+4

#3 is below.

A painter poured 3/16 gallon of red paint and 5/16 gallon
of green paint into a bucket, how much paint is in the
bucket? Simplify if possible.

Answers

8/16 or 1/2 simplified

Answer:

3

12x2=

8L

Step-by-step explanation:

Given:

Required ratio of yellow paint to the blue paint =3:2

Amount of yellow paint used =12 L

Therefore,

Amount of blue paint used =

3

12×2

=8 L

9. The Great Pyramid of Giza in Egypt is a square
pyramid. What some scientists believe to be the
original dimensions of the pyramid are shown
at the right. What is the surface area of this
famous pyramid?
610 ft
755.9 ft
PR

Answers

The surface area of the pyramid is 1,495,368 square feet (approximate)

What is a pyramid?

A pyramid is a three-dimensional shape with a triangular base and faces that meet at a single point, or apex, and are each made of three triangles.

To find the surface area of the Great Pyramid of Giza, we need to calculate the area of each face and add them together.

The base of the pyramid is 756 feet. then, the area of square-base is:

756 feet × 756 feet ⇒ 571,536 square feet

The height of the pyramid is 480.6 feet. Using the Pythagorean theorem, we can find the slant height of the pyramid:

slant height = [tex]\sqrt{height^2 + (\frac{ base}{2}) ^2}[/tex]

slant height = [tex]\sqrt{480.6^2 + (\frac{756}{2})^{2}[/tex]

slant height = 611 feet (approx.)

Each triangular face has a base of 756 feet and a height of 611 feet. So, the area of each triangular face is:

(1/2) x 756 feet x 611 feet = 230,958 square feet

There are four triangular faces, so the total area of the four faces is:

4 x 230,958 square feet = 923,832 square feet

The total surface area of the pyramid is the sum of the area of the square base and the area of the four triangular faces:

571,536 square feet + 923,832 square feet = 1,495,368 square feet

Therefore, the surface area of the Great Pyramid of Giza is approximately 1,495,368 square feet.

To know more about Pyramid, visit:

https://brainly.com/question/23773586

#SPJ1

What is the scale factor of the dilation?
?
L'
L
J'
J
K

Answers

Answer:

scale factor = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , image to original, that is

scale factor = [tex]\frac{J'K}{JK}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Carla has a monthly budget for her cell phonebill month she spend 120%of her budget and the bill was 60$.what is Carla’s monthly budget

Answers

Answer:

$50

Step-by-step explanation:

If 120% budget = $60

1% budget = 60/120

100% budget = 60/120 x 100

Monthly budget will be $50

Can someone help me with thisss???? Nowww
-2x-6>3x+14

Answers

The answer is 92.3 on edge

Answer: x < - 4

Step-by-step explanation:

[tex]-2x-6 > 3x+14\\\\-2x-6+6 > 3x+14+6\\\\-2x-6+6 > 3x+14+6\\-2x > 3x+14+6\\-2x-6+6 > 3x+14+6\\-2x > 3x+20\\-2x-3x > 3x+20-3x\\-5x > 3x+20-3x\\-5x > 20\\\frac{-5x}{5} < \frac{20}{-5} \\x < \frac{20}{-5} \\x < -4\\-2x-3x > 3x+20-3x\\x < -4[/tex]

someone pls help i’m confused

Answers

Answer:

  ST = 32

Step-by-step explanation:

Given circle U with tangents PQ = 4x+2 and QR = 7x-19 and segment QU = 34, you want the length of diameter ST.

Value of x

The two tangents are the same length, so ...

  QR = PQ

  7x -19 = 4x +2

  3x = 21 . . . . . . . . add 19-4x

  x = 7 . . . . . . . . divide by 3

The length of tangent PQ is ...

 PQ = 4x +2 = 4(7) +2 = 30

Right triangle

Triangle QPU is a right triangle with leg PQ = 30 and hypotenuse QU = 34. Then the length of radius PU is found using the Pythagorean theorem:

  PU² + PQ² = QU²

  PU² = QU² - PQ² = 34² -30² = 256

  PU = √256 = 16 . . . . . radius of the circle

Diameter

The diameter ST of the circle is twice the length of the radius:

  ST = 2·PU = 2·16

  ST = 32

__

Additional comment

You may recognize the right triangle as having sides that are the Pythagorean triple {8, 15, 17} multiplied by 2. The lengths 30 and 34 give you the clue.

If APR on credit card is 17.8% what is the daily percentage rate (DPR)?

Answers

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

Learn more about Percentage rates:

https://brainly.com/question/10795072

#SPJ1

The side of a square equals the width of a rectangle. The length of the rectangle is 26 meters longer than its width. The sum of the areas of the square and the rectangle is 280 square
meters. Find the side of the square.
2
The side of the square is meters.

Answers

Answer:

the side of the square is approximately 8.29 meters.

What Is The Product Of 4x^2/7y^2 and 21y^3/20x^4 In Simplest Form?

Answers

Answer:

To simplify (4x^2)/(7y^2) and (21y^3)/(20x^4), we need to simplify each fraction separately.

(4x^2)/(7y^2) can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1:

(4x^2)/(7y^2) = 4x^2/7y^2

(21y^3)/(20x^4) can also be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1:

(21y^3)/(20x^4) = 21y^3/20x^4

So the simplified fractions are 4x^2/7y^2 and 21y^3/20x^4, respectively.

Step-by-step explanation:

A veterinarian says that 0.6 of his current cat patients are in need of an inoculation. If he has 238 cats as patients, about how many do not need inoculations?

Answers

Using percentages we know that 143 patients out of 238 are in need to take the inoculation.

What are percentages?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred.

Per 100 is what the word percent means. The letter "%" stands for it.

So, the number of patients is:

238

The percentage of patients that needs inoculation:

0.6 which is 60

Now, calculate:

= 238/100 * 60

= 142.8
Rounding off: 143

Therefore, using percentages we know that 143 patients out of 238 are in need to take the inoculation.

Know more about the percentages here:

https://brainly.com/question/24877689

#SPJ1

I need help! Please include an explanation.

Answers

Lisa can take 4 different routes.


She takes 1 route then returning she will have 3 different ways to return.

So we can write it as 4•3 = 12


Solution:

Option B

YALL I NEED HELP PLSSSSSS IM SO CONFUSED ​

Answers

Answer:

rays: DF and EFsegments: ED, DF, FE

Step-by-step explanation:

Given points D, E, F on a half-line with end point D, you want the names of two different rays and three different segments in the figure.

Ray

A ray is named by it endpoint and another point on the ray. Any of the named points could be the endpoint of a ray, but there is not another point to use for naming if F is the ray's endpoint.

The figure shows rays DE (congruent to ray DF) and ray EF.

Segment

A segment is named by naming its endpoints. Two of the three points shown can be chosen three different ways.

The figure shows segments DE, DF, and EF.

__

Additional comment

Those segments could be named ED, FD, and FE. The question asks for different segments. Since DE and ED name the same segment, we can use only one of those names in answer to the question.

1. Find the value of x.
(5x)°
100°

Answers

Using the vertical opposite angle theorem, the value of x is 20°.

What is vertical opposite angle?

Intersecting lines are lines that crοss each οther. The pοint where they meet is called a vertex.

When twο lines intersect, the οppοsite (X) angles are equal.

These X angles are called vertically οppοsite angles because they are οppοsite each οther at a vertex.

Using the vertical opposite angle theorem

5x° = 100°

x = 100/5

x = 20°

Using the vertical opposite angle theorem, the value of x is 20°.

Learn more about vertical opposite angle

https://brainly.com/question/68367

#SPJ1

picture listed below

Answers

The second i.e. reflecting first across y-axis and then x -axis and the third i.e. reflecting and rotating counterclockwise about origin, sequences of transformation will map the figures.

What is transformation?

A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object.

Although Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.

We are given coordinate axis with two figures ABCD and EFGH.

In order to map the figures, we can reflect the figure across y - axis first and then across x - axis. This transformation will map the figure.

Also, another sequence can be reflecting the figure in origin and then rotating it 90° counter clockwise about the origin.

Hence, the second and third sequences of transformation will map the figures.

Learn more about transformation from the given link

https://brainly.com/question/29788009

#SPJ1

I need help with this math problem

Answers

Step-by-step explanation:

given,

[tex] log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565[/tex]

I hope this is the answer.

pls mrk me brainliest, i rly worked hard on this i need to get the next rank

Which choice is equivalent to the quotient below?641616​ 64​ ​ A.2B.4444​ ​ C.8228​ ​ D.22

Answers

Answer:

The answer is 2 babe....

Express the perimeter of the figure below in term of x

Answers

Answer:

10x+29

Step-by-step explanation:

2x+8+5x+4+10+x+7+2x

simplified= 10x+29

to find the perimeter all u do is add the sides up together

Evaluate bcy, if b = -5, c = -3, and y = 0

Answers

Answer:

0

Step-by-step explanation:

Given,

b = - 5

c = - 3

y = 0

To find : bcy

bcy

= (- 5) x (- 3) x 0

= 0

True or False. The following graph represents a function.

Answers

Answer:

True

Step-by-step explanation:

Every input (x) has only one output (y)

PLEASE HELP WITH MY HOMEWORK!!

Explain how you can make 5 1/5 - 3 7/10 a simpler problem. Then subtract.

Answers

5 1/5 - 3 7/10 simplified and subtracted equals 3/2.

what is improper fraction?

An improper fraction is a fraction in which the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 7/4 is an improper fraction because the numerator (7) is greater than the denominator (4).

To make 5 1/5 - 3 7/10 a simpler problem, we need to convert the mixed numbers into improper fractions, which will make it easier to subtract them.

To convert a mixed number to an improper fraction, we need to multiply the whole number by the denominator of the fraction and then add the numerator.

So, we have:

5 1/5 = (5 x 5 + 1)/5 = 26/5

3 7/10 = (3 x 10 + 7)/10 = 37/10

Now, we can subtract the two improper fractions:

26/5 - 37/10

To subtract fractions, we need to have a common denominator. The smallest number that both 5 and 10 divide into is 10, so we can convert both fractions to have a denominator of 10:

(26/5) x (2/2) = 52/10

37/10

Now we can subtract the fractions:

52/10 - 37/10 = 15/10

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

15/10 = (15/5) / (10/5) = 3/2

Therefore, 5 1/5 - 3 7/10 simplified and subtracted equals 3/2 or 1 1/2.

To learn more about improper fraction from the given link

https://brainly.com/question/21449807

#SPJ1

ber 4 "o 22. Choose Yes or No to tell if the number 10 will make each equation true. +10=TO 3+ [ 4+40= 10 +21=20 O Yes O No O Yes O No O Yes O No O Yes O No Pearson Education, Inc. 5 i will give branlest and 60 points pps just help me​

Answers

Answer:

yes, yes, no, no. I am not sure 100% though so maybe look it up

Step-by-step explanation:

Answer:

1.Yes

2.Yes

3.No

4.No

Step-by-step explanation:

<3

Other Questions
Factoring expressions with higher powers. Factor completely: 3b^2+12b-63 Given right triangle ABC with altitude CE. By the Right Triangle Altitude Theorem, which similarity statement is true?ABC EBCABC AECABC CBEABC BCE(40 points) A wave has a frequency of 262x10^-9 hz what is the time interval between successive wave crest? I need help anyone please?!!?!! booker, inc., has identified an investment project with the following cash flows. if the discount rate is 8 percent, what is the future value of these cash flows in year 4. All of the following are arguments in favor of tariffs and quotas exceptthe infant industry argument.the low transition cost argument.the national security argument.the environmental standards argument.the dumping argument. Explain whathappens to light when it is refracted at thesurface of water. which of the following is true of brand-loyal customers? group of answer choices they only make purchases during special promotions such as contests and sweepstakes. they are strongly committed to one brand and do not switch to another one easily. they are committed to multiple brands for the same product. they switch brands as soon as they receive discount coupons for other brand products. they are enticed by frequency programs from any brands that reward them with free products. Does Gatsby's behavior in this chapter endear him more, or less to you? Chapter 5 of the possible methods of dna exchange between bacteria, which requires one of the bacteria cells to be lysed so that its dna is free-floating? can someone slove this three common causes of communication apprehension include:______. 2/x+3/2x=7/8 find the solution set While driving, Marshall accidentally rear-ends a sports utility vehicle at the mall. Which form of insurance can he use to pay for the damage to both vehicles?property insurancelife insurancehealth insuranceautomobile insuranceECONOMICS HELP!! |2x - 7| > 5 Give your answer as an interval an open beaker of pure water has a water potential of ____ IN ESSAY PLSSSSS Make a list of emergency phone numbers, such as the hospital, the police, andthe poison control center, and post it by each telephone in the house. Make another copy to include in your household safety booklet the transition from n to o offers an exception to the overall trend for first ionization energies. what would be the expected approximate first ionization energy for the oxygen atom if it followed the previous trend? What is the surface area if its a cube and it says 4 four times? The lac repressor binds to what site within the lac operon?a. LacZb. lacOc. lacAd. lacIe. lacP