Solve the following system via elimination
3x - y = 28
3x+y=14

Answers

Answer 1

Answer:

Point Form:

( 7 , − 7 )

Equation Form:

x = 7 , y = − 7

Step-by-step explanation:

Answer 2

Answer:

x=7,y=-7

Step-by-step explanation:

1: add the equations

3x+3x+y-y=28+14

6x=42

x equals 7

2:plug that in to get y

3(7)-y=28

21-y=28

-y=7

y=-7


Related Questions

Solve: 2/v+1/5=3/w for w

Answers

Final answer:

To solve for w in the equation 2/v + 1/5 = 3/w, a series of algebraic steps including taking reciprocals and simplifying complex fractions leads to w = (15v)/(10 + 2v).

Explanation:

To solve the equation 2/v + 1/5 = 3/w for w, we must isolate w. This involves several algebraic steps. First, we can take the reciprocal of both sides of the equation in order to get w on one side:

∑1/(2/v + 1/5) = 1/(3/w)

Through the properties of reciprocals and complex fractions, the equation simplifies down to:

w = ∑3 × (v × 5)/(2×5 + v)
This can be further simplified by multiplying through by 3 and combining terms under a single denominator. After simplification, we obtain the relationship:

w = (15v)/(10 + 2v)

Find the area of the circle. Round to the nearest tenth. Use 3.14 for π.


A.
154 inches squared

C.
172 inches squared

B.
123 inches squared

D.
162 inches squared

Answers

Answer:

A. 154 [tex]in^{2}[/tex]

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

First find the radius by dividing the diameter by 2, which is 7

[tex]\pi *7^{2}[/tex]

[tex]49\pi[/tex]

≈154 [tex]in^{2}[/tex]

Answer:

A

Step-by-step explanation:

what are the domain, range, and asymptote of h(x)= 2^x+4

Answers

Answer:

Step-by-step explanation:

hello : look this solution

Answer:

c. domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0

Step-by-step explanation:

I took the test.

Identificar todas las formas que se representa el intervalo del dominio de la función

Answers

Answer:

III

Step-by-step explanation:

At a school 1/4 of the students speak English and at least one other language of those students 2/5 speak Spanish what fraction of the students speaks Spanish ?

Answers

Answer:

1/1 that the answer

Step-by-step explanation:

1/4-2/5=1/1 that's the answer

A tree is 11 meters tall. What is its height in feet?use the following conversion 1 meter is 3.3 feet

Answers

Answer:

The tree is 36.3ft

Explanation:

Tree=11m

If 1 meter is equal to 3.3 feet we multiple the number of meters(11) to 3.3

Final answer:

To convert from meters to feet, we multiply the given length in meters by the conversion ratio of 3.3. The tree, being 11 meters tall, is therefore approximately 36.3 feet tall.

Explanation:

The question asks us to convert the height of a tree from meters to feet. The tree is 11 meters tall and we'll use the conversion rate of 1 meter being equal to 3.3 feet. To do this, we multiply the height of the tree in meters by the conversion ratio: 11 meters * 3.3 feet/meter. This gives us a height of 36.3 feet. So the tree is 36.3 feet tall.

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Will mark Brainliest!
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can.
What was the price of a can of tuna without the coupon?

Answers

1.28 because 35 cents x 5 divided by 8.15 is 6.4 and 6.4 divided by 5 is 1.28

Solve the above question.

Answers

Answer:

gcd(20a,14b)

Step-by-step explanation:

add 7a and 3a, and add 5b to 2b,

you're left with 10a + 7b, times two to both, and you have

20a + 14b

so the answer is gcd(20a,14b)

i have no clue i haven't done this before so thats what i'm guessing happens? good luck :,)

can someone help me please I need this grade ​

Answers

Answer:

For the circle on the left:

Center: (-4,2)

Radius: 3

For the circle on the right:

Center: (2,3)

Radius: 3

Step-by-step explanation:

What’s the answer to this question

Answers

Answer:

the answer is on the far left.

Step-by-step explanation:

Find the surface area of
the prism.
15 in hight
3 in width
7 in length

Answers

Answer:

The surface area of the prism is 342 sq un.

Step-by-step explanation:

[tex]A_S = a + a + b + b + c + c\\a = h \times w = 15 \times 3 = 45\\b = h \times l = 15 \times 7 = 105\\c = w \times l = 3 \times 7 = 21\\A_S = 45 + 45 + 105 + 105 + 21 + 21\\A_S = 90 + 210 + 42\\A_S = 342[/tex]

What is the solution to x-2<6 ?
x < 6
x>6​

Answers

The solutions are: x=3+ √3 and x=3-√3

What is the value of x?
3
4
6
8​

Answers

44 skskskgnfjsielekeklekekeududifufufifjfjfjkfjfjfjf

What are the steps for dividing 297 by 7

Answers

Answer:

using long division

Step-by-step explanation:

find a number that you can multiply.by the bottom of the fraction to make it 10 100 or even 1000 any 1 is following by 0's multiply both the top and the bottom.number.that you choose.

Answer:

42 3/7

Step-by-step explanation

Do long division or if you are using a calculator, divide 297 by 7.

You should receive the answer 42.428

Then, do 42 multiplied by 7. You should receive 294.

297 - 294 is 3

So if you include your 7 your final answer should be 42 3/7

3x - 12y = -30 and x - 6y = -12

Answers

check attached file it has the answers

3x =-18

X= -12

Answer:

Step-by-step explanation:

Cost of a a radio:$9.99
Selling price:$17.08
What’s the markup

Answers

Answer:

7.09

Step-by-step explanation: its easy all you need to do the subtract

2 people working at the same rate will take 6 hours to paint a room.
14 (a)
Assuming that they all work at this rate,
how long will it take 3 people to paint the room?
[2 marks]
Answer all
the
hours
14 (6)
In fact, the third person works at a faster rate.
How does this affect the time to paint the room?
(1 mark]

HELPOO ASAPP

Answers

Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

Which animal shelter has the dog that weighs the least?
shelter A
shelter B
Both shelters have a dog with the lowest weight of 8 pounds.
Both shelters have a dog with the lowest weight of 10 pounds.

Answers

The answer would be A

It has the lowest value on the number line, 8 lbs.

Answer:

Shelter A

Step-by-step explanation:

Write a cosine function that has a midline of 5, an amplitude of 3 and a frequency of 4/5

Answers

The cosine function with a midline of 5, an amplitude of 3 and a frequency of 4/5 is: f(x) = 3 * cos((8π/5) * x) + 5.

Given:

Amplitude (A) = 3

Frequency (f) = 4/5

Midline = 5

A cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5 can be expressed as:

f(x) = A cos(2π f x) + midline

Substituting these values into the equation, we get:

f(x) = 3 * cos(2π * (4/5) * x) + 5

Therefore, the cosine function is f(x) = 3 * cos((8π/5) * x) + 5.

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Final answer:

To write a cosine function with a given midline, amplitude, and frequency.

y = 3 cos((4/5)x) + 5

Explanation:

In order to write a cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5, we can use the general form of the cosine function: y = A cos(Bx) + C. Here, A represents the amplitude, B represents the frequency, and C represents the midline.

Given that the midline is 5, the amplitude is 3, and the frequency is 4/5, we can substitute these values into the general form of the cosine function to get:

y = 3 cos((4/5)x) + 5

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What is the width of the rectangle shown?
4x + 3
A = 8x2 – 10x – 12
O
A. 44 - 4
O
2x - 15
O
o
O
c. 2x - 4
O
D. 4X – 15

Answers

Answer:

To find the width of the rectangle, we can use the formula for the area of a rectangle, which is the product of its length and width. In your question, you provided the area (A) as A = 8x^2 - 10x - 12, and the length is given as 4x + 3.

Let's denote the width as "w." So, we have:

Area (A) = Length (L) × Width (w)

A = (4x + 3)w

Now, we can solve for the width (w):

w = A / (4x + 3)

w = (8x^2 - 10x - 12) / (4x + 3)

Now, we need to simplify the expression for w. We can factor the numerator to see if there are any common factors:

w = [(2x - 4)(4x + 3)] / (4x + 3)

Now, we can cancel out the common factor of (4x + 3) in the numerator and denominator:

w = 2x - 4

So, the width of the rectangle is 2x - 4, which corresponds to option (C).

Step-by-step explanation:

Final answer:

The width of the rectangle is (8x^2 - 10x - 12) / (4x + 3)

Explanation:

To find the width of the rectangle, we need to equate the expression for the area of the rectangle to a product of its length and width. In this case, we have the area A = 8x2 - 10x - 12 and the length is given by 4x + 3. So, we can set up the equation (4x + 3) * width = A. Let's solve for the width:




 Expand the expression (4x + 3) * width to get 4x * width + 3 * width.
 Substitute the value of A into the equation, which gives us 8x2 - 10x - 12 = 4x * width + 3 * width.
 Combine like terms on the right side of the equation to get 4x * width + 3 * width = 8x2 - 10x - 12.
 Factor out the common factor of width on the left side of the equation to get width * (4x + 3) = 8x2 - 10x - 12.
 Divide both sides of the equation by (4x + 3) to isolate the width, giving us width = (8x2 - 10x - 12) / (4x + 3).



So, the width of the rectangle is given by the expression (8x2 - 10x - 12) / (4x + 3).

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Describe the shape of the data distribution.


1. negatively skewed
2. symmetric
3. positively skewed
4. exponentially skewed

Answers

Answer:

1. Negatively skewed

General Formulas and Concepts:

Statistics

Analyzing data graphsCorrelations and skew-age

Step-by-step explanation:

If we define left of the graph as "negative" and right of the graph "positive", we can see how most data points are shifted to the left.

∴ It would be negatively skewed.

It would not be 2. Symmetric because if we draw a line of symmetry, it is in fact unsymmetrical.

It would not be 3. Positively skewed because the data would be grouped towards the right.

It would not be 4. Exponentially skewed because the data is not strictly increasing bigger and bigger.

A square fits exactly inside a circle with all of its vertices being on the circumference of the circle.
The square has sides of lengths x cm
The area of the circle is 56cm^2
Give your answer to 3sf.

Answers

The side of the square is 5.9 cm

Step-by-step explanation:

Area of the circle = 56 square cm

Side of the square= x

Area = π(r x r)

56 = π (r x r)

√17.83 = r

r = 4.22 cm

Diameter = 8.44cm

The diameter is equal to the diagonal of the square.

8.44 = x√2

x = 8.44/√2

= 5.9 cm

The side of the square is 5.9 cm

A nurse worked a total of 9/4 hours of overtime at $32 what's her overtime earnings?

Answers

Answer:

I believe it is $32, because it says she worked 9/4 hours for $32. I apologize if this is incorrect.

Step-by-step explanation:

Is someone gives me the answer to these...you are literally a Goat

Answers

Answer:

1. 12 games

2. 5 gift cards

3. 6 games

4. 2 more bags

Step-by-step explanation:

1. 50/ 4= 12.5, you can't play half a game, so reduce to 12

2. 120-36=84

84/15=5.6, again can't have part, reduce to 5

3. 720-330=390

390/60=6.5, you get it, reduce to 6

4. 30*4=120

200-120=80--  80/30=2.6667, reduce to 2

PLEASE HELP ASAP! ONLY TRUE ANSWERS!

What is the surface area of the triangular prism made by folding up this net? Given:

a= 20 cm b= 25 cm C= 28 cm​

Answers

Final answer:

The surface area of a triangular prism can be found by adding the areas of all faces. The triangular faces are calculated using the formula for the area of a triangle, and the rectangular faces are calculated using the given dimensions of the sides of the triangles. The total surface area is the sum of these areas.

Explanation:

The question is asking for the surface area of a triangular prism. In order to find this, you need to add the areas of all the faces. A triangular prism has 5 faces, 2 are triangles, and 3 are rectangles.

For the triangular faces, we use the formula for the area of a triangle which is 1/2ab, where a and b are the provided dimensions. Thus, the triangle's area is 1/2 * 20 cm * 25 cm = 250 cm². Since there are two of these, the total area is 500 cm².

The rectangular faces are more challenging since it seems like we don't have enough information. The rectangle is made up of the sides of the triangles, so one side is 20 cm. However, we don't know the length (C) of the triangle which would be the other side of the rectangle. Assuming C is given, multiply each corresponding side to get the area of each rectangle, and add all together.

The final step is to add the area of the triangles and rectangles together to find the total surface area of the prism.

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app.mymaths.co.uk
A fashion store is having a sale advertising 'one
third' off all prices. If a pair of trousers costs £47.46
in the sale, what did it cost before?

Answers

Answer- 63,28£
47,46:3= 15,82
47,46+15,82= 63,28
Final answer:

To find the original price before the 'one third' discount, divide the sale price by 2 and then multiply by 3. The original price of the trousers would be £71.19.

Explanation:

The fashion store sale offers a 'one-third' discount off regular prices. To find the original price of a pair of trousers that cost £47.46 after the discount, we should understand that this sale price represents two-thirds of the original price, as the discount removed one-third of the original price. Hence, to find the original price, we need to divide the sale price by 2 and then multiply the result by 3 (since the original price is equivalently 3 parts if two parts is the sale price). So, the original price is (£47.46 ÷ 2)*3 = £71.19.

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An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total amount of aluminum needed to make the can.

Answers

Answer:

you did not specify the diamiter of the can please add another question and i will help

Step-by-step explanation:

it is imposible to answer right now

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to z-score

Answers

Answer:

-1

Step-by-step explanation:

We have that the mean (m) is equal to 66, the standard deviation (sd) 9

They ask us for P (x <57)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (57 - 66) / (9)

z = -1

57 score to z-score is -1

i’ll mark brainlest if it’s correct

Answers

Answer:

The measure of angle Y is 76 degrees.

Step-by-step explanation:

A kite is a quadrilateral, so its angles must add up to 360 degrees. We can represent this with an equation:

W+X+Y+Z = 360

W+132+Y+76 = 360

We know that W=Y because side WX = side WY.

Y+ 208+Y = 360

2Y = 152

Y = 76 degrees

Here is the histogram of a data distribution. All class widths are 1.
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution

Answers

The required median of the distribution is 7. Option B is correct.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
To find the median of a distribution, we need to arrange the data in order from lowest to highest, and then identify the middle value. If there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values.

So, let's first list the values in ascending order:

1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9

The total number of data points is 20, which is even. Therefore, we need to find the average of the two middle values, which are the 10th and 11th values.

The 10th value is 7 and the 11th value is 7 as well, so the median is the average of these two values:

Median = (7+7)/2 = 7

Therefore, the median of the distribution is 7.

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Suppose now that you wanted to determine the density of a small crystal to confirm that it is sulfur. From the literature, you know that sulfur has a density of 2.07 . How would you prepare 20.0 mL of the liquid mixture having that density from pure samples of ( = 1.492 g/mL) and ( = 2.890 g/mL)? (Note: 1 mL = 1 .) Hamas was formed around the group's opposition to the country of _____. 3 days after the start of an experiment there were 484 bacteria in a culture. After 5 days there were 1135. Use a system of equations to determine the initial number of bacteria in the culture (c) and the k value for the growth Need help ASAPGiven what you have just learned, move the events to put them in chronological order. - the tables were discovered. - gilgamesh ruled Uruk in 2700 BCE - gilgamesh became a legend Explain what the Body Mass Index calculates. Then write the formula that is used to determine a person's BMI. Into which category would a person with a BMI of 35 Directions: Read each sentence and determine if the subject and verb agree. Then write C for correct or I for incorrect on the line. If the sentence is incorrect, rewrite it so that the subject and verb agree._____The small, young puppy enjoys a game of fetch.______Before class starts, Sara and Jenny likes to practice playing their violins together. _____A small toddler in the preschool class refuse to take a nap after lunch. ______Each member on the debate team must participate in the final round. ______The flower bouquet smell wonderfully. 17. A preschool has a rectangular field and a rectangular playground that are similar in shape. Eachdimension of the field is 3.2 times the corresponding dimension of the playground. Which statementis true?A. The area of the field is 6.4 times the area of the playground.B. The area of the field is 10.24 times the area of the playground.C. The perimeter of the field is 6.4 times the perimeter of the playground.D. The perimeter of the field is 10.24 times the perimeter of the playground. PLEASE HELP!!IF REAL ANSWER IS PUT, I WILL MARK YOU BRAINLIEST! An object is thrown with a horizontal velocity of 20 m/s from a cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is most nearly The island of Guam traditionally has not had any snakes that prey on birds; however, brown tree snakes that prey upon birds were introduced. Use your knowledge of wolf-moose population dynamics to determine what happened to the population dynamics of birds and the new snakes on Guam. Which statement is probably one of the results of the snake introduction? the diameter of a circle is 12 in. Find the circumference to the nearest tenth please helppp solve the inequality |0.2x+6| Justin's Electronics, Inc., in Nashville, produces short runs of custom airwave scanners for the defense industry. You have been asked by the owner, Janet, to reduce inventory by introducing a kanban system. After several hours of analysis, you develop the following data for scanner connectors used in one work cell. How many kanbans do you need for this connector? Daily demand 1,977 units Lead time 6 days Safety stock (in days of demand) 1.5 days Kanban size 328 units You conduct a mark-recapture survey of eastern fence lizards (Sceloporus undulates) in a 2-hectare plot in eastern Arizona. You mark 250 lizards and are able to recapture 75, of which 24 are marked. What is the estimated size of the population of fence lizards in this plot? Calculate the estimated population size for the plot. Use the following formula: M/N = R/C where M is the number of initially marked individuals, N is the population size, R is the number of recaptured marked individuals, and C is the total number of individuals recaptured.a. 80 b. 7.2 c. 781.3 d. 250 e. 24 What type of computer lies between micro and mainframe computer? The pH of 1M MOH solution which is only 10% dissociated. Which of these breakdown the remains of dead organisms and excreted waste and release carbon as carbon dioxide? *A. DecomposersB. Factory EmissionsC. Fossil FuelsD. Greenhouse Gases An unfortunate squirrel is hit by a car. A small bit of gas originally 0.005 L in volume is trapped in the squirrel's body at a temperature of 308 K. During the day, the Sun heats the squirrel to a temperature of 328 K. What is the volume of the gas in the squirrel now (keep 4 decimals in your answer)? An earthquake on the ocean floor in the Gulf of Alaska induces a tsunami (sometimes called a "tidal wave") that reaches Hilo, Hawaii, 4780 km away, after a time of 9.99 h. Tsunamis have enormous wavelengths (100- 200 km), and for such waves the propagation speed is v qgd , where d is the average depth of the water, d is in meters, v is in m/s, and g = 9.8 m/s^2 . From the information given, find the average ocean depth between Alaska and Hawaii. Was the decision to divide Germany and Austria into four different zones a good idea?