Use the elimination method to solve the system of equations.
5x + 2y = 7 −5x + 4y = 5

( 35, 2)

There are an infinite number of solutions.

(2, 1)

There is no solution.

Answers

Answer 1
5x + 2y = 7
-5x + 4y = 5

You can immediately eliminate the x-terms and subtract:

  2y = 7
  4y = 5
-_____
-2y = 2
   y = -1

Substitute back to find x:

-5x + 4y = 5
5x + 4(-1) = 5
5x - 4 = 5
5x = 9
x = 1.8

Finally, substitute back to check your work:

5x + 2y = 7  =>  5(1.8) + 2(-1) = 7  =>  9 - 2 = 7  <--True
-5x + 4y = 5  =>  -5(1.8) + 4(-1) = 5  =>  -9 - 4 = 5  <--False

Answer:
There is no solution.

Related Questions

HURRY PLEASE!!!!!

Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player?
A) 225
B) 550
C) 1100
D) 1667

Answers

550, that's the best answer

Answer:

Its B

Step-by-step explanation:

550 is the closest

a local hamburger shop sold a combined total of 757 hamburgers and cheeseburgers on Sunday. There were 57 more cheeseburger sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

700 because 757-57=700
Hope this Helps!

Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee’s vacation hours. In Company P if you work 10 hours you get 0.4 vacation hours, while in Company S if you work 100 hours you get 7 vacation hours. What is the difference in each friend’s vacation hours if both work 2,080 hours?

Answers

Answer:

62.4 hours

Step-by-step explanation:

For P:

Number of hours off on 10 hours of working=0.4

Number of hours on 2080 hours of working=2080/10*0.4

=83.2 hours

For S:  

Number of hours off on 100 hours of working=7

Number of hours on 2080 hours of working=2080/100*7

=145.6 hours

The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.  

the difference in vacation hours between the two friends is 62.4 vacation hours.

For company P:

We know that 10 working hours give 0.4 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:

[tex]\frac{10}{0.4} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]

Solving this we get:

[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{0.4 \times 2080}{10} = 0.04 \times 2080 = 83.2\ days[/tex]

Now for company S:

We know that 100  working hours give 7 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:

[tex]\frac{100}{7} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]

Solving this we get:

[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{7 \times 2080}{100} = 0.07 \times 2080 = 145.6\ days[/tex]

Finally, find the difference in vacation hours:

[tex]Difference = 145.6 - 83.2 = 62.4\ vacation\ hours[/tex]

Therefore, the difference in vacation hours between the two friends is 62.4 vacation hours.

What is (5/8) multiplied by (2/3)

Answers

(0.41) if estimated then (0.42)
Hello,

Here is your answer:

The proper answer to this question is "5/12"

Here is how:

5*2=10/2=5
8*3=24/2=12

Your answer is 5/12!

If you need anymore help feel free to ask me!

Hope this helps!

Write a function rule for the table

Answers

Can you give a better picture of the rest of the answers below the first two.

Please help!
4x(5y-x)-5y(4x-y)

Answers

4x(5y-x)-5y(4x-y)=20xy-4x^2-20yx+5y^2=-4x^2+5y^2=5y^2-4x^2
= 4x(5y-x) - 5y(4x-y)
= 20xy-4x²- 20xy+5y²
= -4x²+5y²

If you buy 20 tickets for $6.00, how much are you paying per ticket?

Question 1 options:

.10


.20


.30


.40

Answers

the answer is c 0.30 bc you divide 6.00 by 20 = 0.30
the answer to c hope this helps

Kateri draws a square. She wants to draw one line to draw one line to divide the square into 2 triangles. Is it possible for her to divide the square into 2 obtuse triangles? Explain

Answers

No. Since you can only draw from the corners to get triangles, you will end up with two right triangles because of the corners. If it is a right triangle, it can obviously not be obtuse.
Final answer:

A square can be divided into two right-angled triangles with one line, but it can't be divided into two obtuse triangles because none of the angles in a square is more than 90 degrees.

Explanation:

No, it is not possible for Kateri to divide the square into two obtuse triangles by drawing just one line. An obtuse triangle is a triangle that has an angle greater than 90 degrees. However, a square is made up of four 90-degree angles. Therefore, when a square is divided into two triangles with one line, the maximum degrees any angle in resulting triangles would get is 90, hence they would be right-angled triangles and not obtuse triangles.

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the ratio of 12:3 in simplest form

Answers

divide both sides by the common factor which is 3

12 /3 = 4 and 3/3 = 1

the final ratio is 4:1
The ratio 12:3 simplified is 4:1
Step 1: The LCM is 3
So divide 12 with 3 and you get 4
The divide 3 between 3 and you get 1
So your answer is 4:1
Hope this helps:D
Have a great rest of a brainy day!

Find the volume for a sphere with a radius of 7 cm. ROUND TO THE NEAREST WHOLE NUMBER

A.)307cm^3
B.)1,436 cm^3
C.)1,020cm^3
D.)615cm^3







Find the radius of a sphere with a surface area of 804 cm^2

A.) 9cm
B.)8cm
C.)64cm
D.)204cm

Answers

Answer:

im sorry i dont get it

Step-by-step explanation:

since y+y=y^2 also they following

When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.

Answers

The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

 By properties of powers, if you have the same base, you can substract the exponents. Then:

 =(27x^2)z/(-3x^2)(z^6)
 =-9z/z^6  (As you can see: x^2-2= x^0=1)
 =-9/z^5    (Then, z^6-1=z^5)

 Therefore, the answer is: The exponent on the variable z is 5. 

Final answer:

The expression 27x^2z/-3x^2z^6 simplifies to -9/z^5, so the simplified exponent on the variable z is -5.

Explanation:

When simplifying the expression 27x^2z/-3x^2z^6, we divide the coefficients and apply the laws of exponents. This means we divide 27 by -3 and subtract the exponents of like terms with variables of the same base.

27/-3 equals -9, and for the variables we subtract the exponents, for x^2 we have x^2/x^2 which simplifies to x^0 and for z we have z^1/z^6, simplifying to z^(1-6) which is z^-5. However, because negative exponents denote division by that variable to the positive exponent, z^-5 represents 1/z^5.

The final simplified expression is -9/z^5. Thus, the exponent on the variable z when the expression 27x^2z/-3x^2z^6 is completely simplified is -5.


The bases of an isosceles trapezoid are represented by 4x and 2x. The height of the trapezoid is represented by (x − 6). Which polynomial expression BEST represents the area of the trapezoid?
A) 3x2 − 18x
B) 3x2 + 18x
C) 3x − 18
D) 6x2 + 36x

Answers

Area = (a + b)*h / 2
a = 4x
b = 2x
h = (x -6)

Area = (4x + 2x)*(x - 6) / 2
Area = (6x)(x - 6)/2
Area = 3x(x - 6)
Area = 3x^2 - 18x
A <<<<<<< ===== answer.

A triangle can be formed with side lengths 3 in, 5 in, and 9 in. (5 points) True False

Answers

The answer is true
good luck

Answer:

its false, i did the test

Step-by-step explanation:

What is 10 meters increased by 25%

Answers

I believe that it's 12.5

you are going to purchase a corvette for $60,00 the interest rate is 4% and you will be paying off the loan in 5 years. What will be your monthly payment?

Answers

Um I think you do 5 divide by 6000

Molly says that 4/8 is always the same as 1/2. Andrew says that 4/8 and 1/2 are equivalent fractions, but they could be different amounts. Use the models below to determine which student is correct. Explain.

Answers

They are equals, but, they can be used as a percentage for an amount. For example
1/2 kg = 500 g
1/2 ton = 500 kg

Which proportion would you use to set up to change 6 cups to pints?

Answers

Answer: A

Reason/Explanation: There is a ratio of 1:5. 1 cm to 5 km. You are trying to figure out if there are 4 cm then how many km there would be. That means there's 4 on the top, and X on the bottom.

~Deceptiøn

Answer:

A) is the answer

Step-by-step explanation:

it worked

Grace saw 16 bird habitats at the zoo's aviary. The sign said each habitat had 12 birds.How many birds were in all?

Answers

Just Multiply! 16 * 12 = 192
16 bird habitats
12 birds in each habitat
16 x 12 = 192
192 is your answer!

how to simplify -7+(-7)

Answers

-7 + (-7) = -7 - 7

- 7 - 7 = -14

-14 is your answer

hope this helps

Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.

Answers

To represent this answer you need to find out what possible numbers of pounds would make this true. In this case, the elevator can hold any number of pounds up to and including 2100 pounds. Attached is a picture of the solutions to your any quality and the actual inequality that represents all of the possible solutions. The idea behind the number line is to show all numbers that are less than or equal to 2100 pounds. The arrow points to the left because numbers to the left are less than The numbers to the right, and we fill in the circle because it includes 2100 as a possible solution.
If the elevator can hold up to 2,100 pounds, that means 2,100 is the maximum. So we have an inequality, not an equation because the elevator can also hold less than 2,100 pounds. Our inequality would represent "less than or equal to".

To write this out, we start with a variable, let's say "w" for "weight".

w

Then, we add our inequality symbol "less than or equal to". 

w [tex] \leq [/tex]

Last, we insert our weight limit which is 2,100 pounds. 

[tex] \leq [/tex] 2,100

That represents the inequality for his specific problem. To graph this on a number line, we simply use the symbol that matches "less than or equal to", which is a closed circle. And since we are talking about the weight being LESS THAN, our arrow is going to the left. Attached is an image of how to graph this on a number line. 

Claire and Marisa are both waiting to get a rebound during a basketball game. If the height of the basketball hoop is 10 feet, the angle of elevation between Claire and the goal is 35°, and the angle of elevation between Marisa and the goal is 25°, how far apart are they standing?

Answers

1. Let's represent the distance between Marisa and Claire with the letter "x".

 2. You must find the distance between them and the goal (Adjacent leg).

 3. The distance between Marisa and the goal (dA) is:

 Tan(α)=Opposite leg/Adjacent leg

 α=25°
 Opposite leg=10 feet
 Adjacent leg=dA

 Tan(25°)=10/dA

 4. Let's clear dA:

 dA(Tan(25°))=10
 dA=10/Tan(25°)
 dA=21.44 feet

 5. The distance between Claire and the goal (dB) is:

 Tan(β)=Opposite leg/Adjacent leg

 β=35°
 Opposite leg=10 feet
 Adjacent leg=dB

 Tan(35°)=10/dB
 dB(Tan(35°))=10
 dB=10/Tan(35°)
 dB=14.28 feet

 6. Therefore, the distance between Marisa and Claire is:

 x=dA-dB
 x=21.44 feet-14.28 feet
 x=7.16 feet

 How far apart are they standing?

 The answer is: 7.16 feet

Using trigonometry, Claire is approximately 19.42 feet away from Marisa, given their angles of elevation and the hoop's height.

Using trigonometry, we can find the distance between Claire and Marisa:

[tex]\[ \text{Let } h \text{ be the height of the basketball hoop.} \][/tex]

[tex]\[ \text{Distance}_{\text{Claire}} = \frac{h}{\tan(35°)} \][/tex]

[tex]\[ \text{Distance}_{\text{Marisa}} = \frac{h}{\tan(25°)} \][/tex]

[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \text{Distance}_{\text{Claire}} - \text{Distance}_{\text{Marisa}} \][/tex]

[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \frac{h}{\tan(35°)} - \frac{h}{\tan(25°)} \][/tex]

[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = h \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]

Given [tex]\( h = 10 \)[/tex] feet:

[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = 10 \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]

[tex]\[ \text{Distance}_{\text{Claire-Marisa}} \approx 19.42 \text{ feet} \][/tex]

So, Claire and Marisa are standing approximately 19.42 feet apart.

how to memorize my timetables

Answers

Study them repeatedly, and think of helpful hints to remember certain terms you struggle with.
Final answer:

To memorize your timetables, you can use mnemonic techniques, break down the tables into smaller chunks, and practice regularly.

Explanation:

Multiplication tables, also known as timetables, can be challenging to memorize. However, there are several strategies that you can use to make the process easier. One effective method is to create mnemonics, which are memory aids that help you associate numbers with images or phrases. For example, you can associate the number 9 with the shape of a cat's tail, and whenever you see the number 9 in a multiplication problem, you can visualize a cat's tail to help you remember the answer.

Another useful strategy is to break down the tables into smaller, more manageable chunks. Start by memorizing the tables for numbers 0-5, and once you feel comfortable with them, move on to the tables for numbers 6-10. By tackling smaller chunks, you can avoid overwhelming yourself and improve your retention.

Finally, practice regularly and consistently. The more you review the timetables, the more familiar they will become. Consider using online resources, flashcards, or interactive games to make the practice sessions more engaging and enjoyable. Over time, with practice and perseverance, you will gradually memorize your timetables.

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By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%? Quick I need an answer!!!!

Answers

I would decrease 75%  for example if you take 2/4 and do the problem above it becomes 1/3 therefore it is 75% 

Find the correct selling price. Round to the nearest dollar.
What was the clerk's error?

Answers

a. $35.10.  1.3*30=35.1
b. I think the clerk thought 30% was 3 dollars, and he added 3 dollars to 27, which is 30.

Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn. A) The slope is positive 1 2 and the y-intercept is (0,3). B) The slope is negative 1 2 and the y-intercept is (0, 3). C) The slope is positive 1 2 and the y-intercept is (0, -3). D) The slope is negative 1 2 and the y-intercept is (0, -3).

Answers

Answer:

B) The slope is negative 1/2 and the y-intercept is (0, 3).

Step-by-step explanation:

First we rewrite the equation so we can easily find the slope and y-intercept.  We do this by isolating the y-term:

2x+4y = 12

We want to subtract 2x from each side:

2x+4y-2x = 12-2x

4y = 12-2x

4y = -2x+12

Now we divide both sides by 4 (everything on both sides gets divided!):

4y/4 = -2x/4 + 12/4

y = -2/4x + 3

y = -1/2x + 3

The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).

Her graph shows the y-intercept at (0, 3); this part is correct.

The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.

What is the missing number 200,188,152,80,8

Answers

Basically that is not an accurate number so what you need to do is add one more zero behind the 80 and two more zeros behind the 8

A soup recipe calls for 23/4 quarts of broth. An open can of broth contains 1/2 quart of broth. How much more broth do you need to make the soup?

Answers

Hey there!

For the beginning of the problem, I believe you meant to type "2 3/4" instead of "23/4". But to solve this, you can subtract the numbers 2 3/4 and 1/2 . . .

3/4 - 1/2 . . .

3/4 = 3/4

1/2 = 2/4

3 - 2 = 1

The denominator stays the same, so that leads you to the fraction 1/4 . . .

2 + 1/4 = 2 1/4.

2 3/4 - 1/2 = 2 1/4

You need 2 1/4 quarts of more broth to make the soup.

Hope this helps you.
Have a great day!

A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.

What is the volume of the prism?

Enter your answer in the box as a simplified mixed number or a decimal.


________m³

Answers

Answer:

Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]

Step-by-step explanation:

Given :   A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]  centimeters, a width of 4 centimeters, and a height of  [tex]3\frac{1}{4}[/tex] centimeters.

We have to find the volume of prism.

We know,

Volume of rectangular prism = length ×  width × height

Given : Length = [tex]1\frac{1}{4}[/tex] centimeters =  [tex]\frac{5}{4}[/tex]

Width = 4 centimeters, and

height = [tex]3\frac{1}{4}[/tex]  centimeters = [tex]\frac{13}{4}[/tex]

Thus, Volume of rectangular prism = [tex]\frac{5}{4}\times 4\times \frac{13}{4}[/tex]

Simplify, we have,

Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]

The volume of the given rectangular prism is 0.143184 cubic meters (m³).

The formula of the volume of a rectangular prism is:

Volume = Length × Width × Height

Given the dimensions:

Length = 114 cm

Width = 4 cm

Height = 314 cm

First, multiply the length and the width:

Length × Width = 114 cm × 4 cm = 456 cm²

Next, multiply this result by the height:

456 cm² × 314 cm = 143,184 cm³

Therefore, the volume of the rectangular prism is:

143,184 cm³

Now, to convert this into cubic meters (m³), note that 1 m³ = 1,000,000 cm³:

Volume in m³ = 143,184 cm³ ÷ 1,000,000 = 0.143184 m³

So, the volume of the prism is 0.143184 m³.

Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping.

(a) What is the exact volume of the sink? Show your work.

(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.

(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.

Answers

Volume of the sink
The formula for a complete sphere is V = (4/3) pi r^3
1/2 a sphere is just one half that amount V = 1/2 (4/3) pi r^3 = (2/3) pi r^3
r = 20/2 = 10 a radius (r) is 1/2 d
V = (2/3) 3.14 10^3
V = 2093 cubic inches.

First cone
V = (1/3) pi r^2 h
pi = 3.14 (always)
r = d/2 = 8/2 = 4 in
h = 6 in
Volume = (1/3) * 3.14 * 4^2 * 6
Volume = 1/3 * 301.44
Volume = 100.8

The number of scoops needed is
Scoops = volume of hemisphere / volume of cone
scoops = 2093/100.8
Scoops = 20.6 
Scoops should be rounded to 21

2nd Cone.
You just need to substitute the numbers for the second scoop into what I have done above.
The answer is 83.3 which you have to round to 84. He better stick with the first cone (or is it a she).



Write the expression using only positive exponents. Assume no denominator equals zero. I will give brainliest!

Answers

The answer is x^13/y^3. You subtract the exponents when you divide, so:

x^10- x^-3 and y^4-y^7. Since, with the x's, you are subtracting a negative, they cancel out, and it's the same as adding a positive: giving you x^13 in the numerator. Subtracting the y's exponents gives you y^-3. Since this is a negative exponent, you put it into the denominator to make it positive. In the end, you get:

x^13 / y^3. Hope this helps!
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Refer to Explorations in Literature for a complete version of the narrative.Read this excerpt from "Goodbye to All That" by Joan Didion.Part of what I want to tell you is what it is like to be young in New York, how six months can become eight years with the deceptive ease of a film dissolve, for that is how those years appear to me now, in a long sequence of sentimental dissolves and old-fashioned trick shotsthe Seagram Building fountains dissolve into snowflakes, I enter a revolving door at twenty and come out a good deal older, and on a different street.How does Joan Didion's extended metaphor of comparing her time in New York to a movie affect the tone of this excerpt?It creates a romantic, reverential tone as Didion describes snapshots of her greatest triumphs in New York.It creates a frank, objective tone as Didion focuses on her flaws and the failures she endured while in New York.It creates a nostalgic, meditative tone as Didion reflects on how quickly her time in New York seemed to pass.It creates a flippant, glib tone so Didion can convey how superficial and thoughtless she was when she lived in New York.2. Refer to Explorations in Literature for a complete version of the narrative.Read this excerpt from "Goodbye to All That" by Joan Didion.But to those of us who came from places where no one had heard of Lester Lanin and Grand Central Station was a Saturday radio program, where Wall Street and Fifth Avenue and Madison Avenue were not places at all but abstractions (Money, and High Fashion, and The Hucksters), New York was no mere city.Which statement best explains the impact that the allusion to "The Hucksters," a Hollywood film set in New York, has on the meaning of the text?It helps Didion convey the idea that her initial conception of New York City was based on intangible ideals and fictional depictions rather than concrete experiences and reality.It allows Didion to highlight how much shesomeone who actually lived in New Yorkdiffered from those who only experienced the city through idealized depictions in the movies.It helps Didion express her sense that there was no difference between the New York presented in the movies and the one in which she and millions of other people lived.It allows Didion to suggest that she was unique among those who came to New York from elsewhere because she alone had developed a mental picture of the city based on film depictions of it.3. Refer to Explorations in Literature for a complete version of the narrative.In Goodbye to All That, Joan Didion says that when she lived in New York, she was most comfortable in the company of Southerners because they also viewed their time in New York as temporary.Which textual detail does she include to illustrate their common shared experience?She mentions that they all had a plane schedule in the drawer, ready to fly back to where they came from on short notice.She recalls how they all hated New York and wanted to leave as soon as possible.She notes that they all spoke differently than New Yorkers.She describes how they all had a difficult time finding their way in New York when they first arrived Is it possible that a distinct lower-class culture exists? do you know anyone who has the focal concerns miller talks about? were there "focal concerns" in your high school or college experience? A localized collection of pus at the site of infection is: What kind of succession occurs after a glacier recedes?a.Primaryc.Opportunisticb.Secondaryd.Invasive