2. Two sidewalks in a park are represented by lines on a coordinate grid.
Sidewalk 1: 3x + 3y = 6
Sidewalk 2: y = x + 6
(a) Find the solution to the system of equations by using the substitution method.
(b) Show ALL of your steps.

Answers

Answer 1

Answer: x is -2 and y is 4 if needed (-2,4) is the origin form

Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of  y=-x+2 to y=-(-2)+2 mult  -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4


Related Questions

the mean of 100 nummerical observations is 51.82

Answers

If the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that mean of 100 nummerical observations is 51.82

We need to find the sum of all the observations

The formula to find mean is mean=Sum of observations/ Number of observation

From given mean=51.82

Number of observations =100

Let us take x as sum of all 100 numbers

So 51.82=x/100

Now apply cross multiplication

x=51.82×100

x=5182

Hence, if the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.

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please help me thank you so much

Answers

Answer:

12(7-3) and 2-0.5

Step-by-step explanation:

All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.

You are a post person and deliver 40 letters an hour. You start at 6:45 and have 100 to deliver before your break. What time is your break?

Answers

Answer:

9:15

Step-by-step explanation:

Time needed to deliver 100 letters: 100 : 40 = 2,5 hours = 2:30min
Your break: 6:45 + 2:30 = 9:15

Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places.

Answers

The solution to the equation x³ + x - 4 = 0 is x = 1.38

How to determine the solution to the equation

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

x^3 + x - 4 = 0

Express the exponents as proper superscript

So, we have the following representation

x³ + x - 4 = 0

Next, we solve the equation using a graph

i.e. we plot the graph of x³ + x - 4 = 0

See attachment for the graph of x³ + x - 4 = 0

The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution

In this case, the point is 1.38

Hence, the solution is x = 1.38

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A pump takes 20 minutes to empty a 200 gallon tank. How long to empty 450 gallon tank? a. 40 minutes, b. 30 minutes, c. 60 minutes, d. 45 minutes

Answers

Answer:
45 min
Step-by-step explanation:
It takes 10 minutes to empty 100 gallons. S0 450/10 =45 minutes.

A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table.

x –4 –1 0 1 5 8 12
g(x) 0 3 1 2 0 –3 0


If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)? (5 points)
As x→–∞, g(x)→∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.
As x→–∞, g(x)→ –∞ and as x→∞, g(x)→∞.
As x→–∞, g(x)→∞ and as x→∞, g(x)→–∞.

Answers

Examining the polynomial function g(x) as given in the table the end behavior is

As x → –∞, g(x) → –∞ and as x → ∞, g(x) → ∞.

What is end behavior?

The end behavior of function typically says the characteristics of the function at the ends

How to find the end behavior  of polynomial function

The given table when examined shows that there was three zeros hence the graph is that of odd function

The end behavior of an odd function with positive leading coefficient is

x ⇒ ∞ f(x) ⇒ ∞: as x tends to positive infinity the function tends to positive infinity

x ⇒ -∞ f(x) ⇒ -∞: as x tends to negative infinity the function tends to negative infinity

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1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!

Answers

If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

What is surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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How much more interest would be earned on a 100,0000 CD for 9 months than for 6 monthd

Answers

There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.

How is the additional interest determined?

The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.

Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.

The interest for the 6-month CD is subtracted from the interest for the 9-month CD.  The result is the difference or additional interest earned.

Commercial Deposit = $100,000

Annual Percentage Rate = 4%

Monthly Percentage Rate = 0.333% (4%/12)

Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)

Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)

The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)

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Question Completion:

APY = 4%

Please help will mark Brainly

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

You should use graph, point of intersection(for example point M(4,2) ) is solution

And we can conclude that x=4 and y=2

Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?

Answers

Answer: 40 cm

Step-by-step explanation:

The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm

Miguel is playing a game in which a box contains four chips with numbers written on them. two of the chips have the number 1, one chip has the number 3 and the other chip has the number 5. Miguel must choose 2 chips, if both chips have the same number, he wins $2, if the 2 chips he chooses have different numbers he loses $1 (-1).
Let X = the amount of money Miguel will receive or owe.

Answers

Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

what is probability ?

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a large group of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

We identify the chips so that we can check all six events. Let's say two chips each have a designated 1: R1 and B1 (as if they were red and blue). Let's now consider all possible combinations.

There are 4 options for the first chip, and 3 options remain for the second chip.

There are 12 combinations as a result. There are just six combinations since we don't care about the sequence; for instance, R1, 3 is the same as R1, 3 to us. (R1, B1), (R1, 3), (R1, 5), (B1, 3), and (B1, 5) are the combinations (3,5) Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.

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Three angle measures of a triangle are given. Does the triangle exist in Euclidean geometry, Spherical geometry, or Neither?

65°, 82°, 100°

Answers

Answer:yesb

Step-by-step explanation:

because u

A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;

a) What is the probability that the selected employee has standard coverage and will submit no

claim during next year? b) What is the probability that the selected employee will submit no claim during next year?

c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer

Answers

To answer these questions, we can use the information given about the proportions of employees with each type of coverage and the probability of no claims for each type of coverage.

a) The probability that the selected employee has standard coverage is 60%, and the probability that they will submit no claims is 0.4. Therefore, the probability that the selected employee has standard coverage and will submit no claims is 0.4 * 0.6 = 0.24.

b) To find the probability that the selected employee will submit no claims, we can add up the probabilities for each type of coverage. The probability that the selected employee will submit no claims is 0.1 * 0.3 + 0.4 * 0.6 + 0.7 * 0.1 = 0.33.

c) To find the probability that the selected employee has standard coverage given that they have no claims, we can use Bayes' Theorem. The probability that the selected employee has standard coverage given that they have no claims is:

P(S|N) = P(N|S) * P(S) / P(N)

Plugging in the values from the problem, we get:

P(S|N) = 0.4 * 0.6 / 0.33 = 0.73

Therefore, the probability that the selected employee has standard coverage given that they have no claims is 0.73.

3 1/4 - 5/8 as a fraction

Answers

5/8

i convert to decinal then back to fraction, but you can do it however.

Exact Form: 21/8
Mixed number form: 2 5/8

Step-by-step explanation:

Help
A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.



Write a recipe for a mixture that will make the same shade of green but a larger amount.

Answers

A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.

Now,

2 Cups of Yellow + 3.5 Cups of blue

Multiply all by 2

=4 Cups of Yellow + 7 Cups of Blue

Hence,  a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

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Is the relation shown in the table a function?
Input: 4,8,4,8
Output: 1,3,5,4

Answers

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

5x-21=-2x+28 given
Prove x=7

Answers

i hope this helped you xx

Which property is demonstrated below?
a times c = c times a


A.
associative property
B.
distributive property
C.
commutative property
D. identity property

Answers

Answer:

distributive property is your answer

At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is
$19 and the price for 2 cheeseburgers and 4 cups of lemonade is $18. How much
does it cost for 1 cheeseburger and 1 cups of lemonade?
*

Answers

By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2

What is a system of linear equations?

A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.

Here is an example of a system of linear equations:

3x + 2y = 19

2x + 4y = 18

This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.

From the information provided, we know that:

3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)

2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)

To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.

3x + 2y = 19

we get

[tex]x=\frac{19-2y}{3}[/tex]

substituting x in equation 2x+4y=18

we get

 [tex]2(\frac{19-2y}{3})+4y=18[/tex]

[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]

substituting y in equation 3x+2y=19

[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]

The cost of one cup of lemonade is $2

The cost of one cheeseburger is $5

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XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip

Answers

On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]

what is interest ?

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here,

principal, p = 2200

rate, r = 2%

time, t = 4 rs,

so SI = P X R X T/100

SI -

[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]

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[tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]
Express y in terms of x and alpha only

Answers

Answer:

A sample of helium was compressed at 35 °C from a volume of 0.5 L

to 0.25 L where the pressure is 500 mmHg. What was the original pressure?

Step-by-step explanation:

triangle has area 16 m ^2
. List all the possible positive integers that could
represent the lengths of its base and height.

Answers

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

Defining a triangle

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

Given :

Triangle area = 16[tex]m^{2}[/tex]

Thus,

To find the possible base and height of the triangle.

The base can be given by 4 m,16

and height be = 8m or 2m

vice-versa

height = 4m ,16mand base =8m,2m

Therefore , the solution of the given problem of triangle comes out to be  base=4m,16 and height=8m,2m.

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Answer:

see below

Step-by-step explanation:

given that the area of the triangle is 16m² . We need to list all the possible lengths of its base and height. As we know that, the area of triangle is ,

ar() = 1/2 * base* height

substitute the respective values,

16m² = 1/2* b * h

b*h = 32

now here we need to list out all the possible factors of 32 as ,

1 *32

2 *16

4*8

8*4

16 *2

32*1

therefore, all the possible lengths of heights and bases are ,

b = 1m , h = 32m b = 2m , h = 16mb = 4m , h = 8mb = 8m , h = 4mb = 16m , h = 2mb = 32m , h = 1m

and we are done!

-Rishabh

please help with all 3 questions
will give brainliest to whoever answers them all

Answers

Answer:

Question 1: 29

Question 2: 50

Question 3: AD≅BC

Step-by-step explanation:

question 1: Since it's a parallelogram opposite sides are equal.

4x+5=5x-1   add one to both sides

4x+6 =5x subtract 4x from both sides

6 = x

So AD is equal to 5(6) - 1 = 30-1 =  29=AD

Question 2: Since diagonals in a parallelogram bisect each other AE = EC

So...

5x+5 = 8x- 7 add 7 to both sides

5x+12 = 8x subtract 5x from both sides

12=3x divide both sides by 3

4=x

AC= 5(4) + 5 + 8(4) - 7

AC= 20 + 5 + 32 - 7

AC= 50

Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.

By using the elimination method you get the answer  line AD ≅ line BC

Pls help! Step by step:)

Answers

Answer:

tan30° = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

θ = 30°O = 5A = 12H = 13

Substitute the values into the tan trigonometric ratio:

[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]

Use the image below to answer the questions that follow:


** I can't upload the image but the Whole Math problem is in the Link I added to make it easier! **
(The image is Half of a house on one side of the graph)



Question 1. What type of symmetry would be used to complete the image of the house?

Question 2. What is the equation of the line of symmetry (or the point of symmetry if there is one) for the image?

Question 3. Use the rules of symmetry to determine 13 ordered pairs that would need to be plotted so that they can be connected by lines to complete the image of the house

Question 4. Complete the image of the house by plotting the points from the previous question and connecting the dots. You may copy the image into a drawing program to complete this task electronically, or you may print the image and upload a hand-drawn image to this document. Be sure to label the points.

Answers

Answer:

I can't please the question is sooo hard but can you give steps

Given csc 0=17/15, determine the values for “a” and “b” in cos 0=a/b

Answers

If cosec (tetha) = 17/15 then cos (tetha) = 8/17

What are trigonometry ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

cosec , sine, cotangent, cosine , secant and tangent are trigonometry function.

cosec( tetha) = 1/sin(tetha)

tangent (tetha) = 1/ cot ( tetha)

sec (tetha) = 1/ cos(tetha)

cosec (tetha) = 17/15

therefore 1/sin ( tetha) = 17/15

sin( tetha ) = 15/17 = opp/ hyp

therefore using Pythagoras theorem adj² = 17²-15²

adj² = 289-225

adj² = 64

adj = √64 = 8

cos ( tetha) = adj/hyp

therefore cos ( tetha) = 8/17

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draw the graph of y=_3x_4​

Answers

Answer:

I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo

Step-by-step explanation:

A map has a scale of 1 inch=35 miles. What is the actual distance if the distance on the map is 3.5 inches

Answers

Answer:

112.5 miles

Step-by-step explanation:

scale: 1 inch= 35 miles

this means that for every inch on a map, that is 35 miles in real life.

if the distance on a map is 3.5 inches, and you want to find out how much the distant would be in real life, all you have to do is:

3.5 x 35 = 112.5

Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?

Answers

Answer:

It is the first answer,

Step-by-step explanation:

The hypotenuse is always the longest side and opposite of the right angel.  Side b is the adjacent side to J and c is the opposite side of J.

When working with piping offsets, which are based on right triangles. Which of the following angle measurements will you see as a standard elbow angle? a. 22.5, b. 60, c. 70. d.45

Answers

Answer:

  d.  45°

Step-by-step explanation:

You want to know which from your list is a standard elbow angle.

Elbow

An elbow is a pipe fitting that is used to change the direction of piping. Elbows can be used together to produce an offset and/or a change in the plane of the piping.

Standard elbow angles commonly are 90°, 45°, and, less commonly, 22.5°. The greater the angle, and/or the smaller the bend radius, the more resistance to flow it has.

The best choice of answer here is 45°.

__

Additional comment

The typical elbow has the same kind of threads on both sides. A "street elbow" has male threads on one side and female threads on the other side.

Elbow joints are not necessarily threaded. They may also be soldered, welded, or compression joints.

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