If 3x - 5y = 11 and 2x + 3y = 5, then what is the ratio of x to y?

Answers

Answer 1

Answer:

-58/7

Step-by-step explanation:

Alright so this is a system of equations. First we'll solve the system, and then find the ratio afterwards.

[tex]3x-5y = 11\\2x+3y =5\\[/tex]

Isolate for y on both.

[tex]2x + 3y = 5\\3y = 5-2x\\y = \frac{5-2x}{3}[/tex]

and

[tex]3x - 5y = 11\\-5y = 11-3x\\y = \frac{11-3x}{-5}[/tex]

Set both equations equal to each other:

[tex]\frac{11-3x}{-5} = \frac{5-2x}{3}\\ \\\frac{3(11-3x)}{-5} = 5-2x\\ \\3(11-3x) = -5(5-2x)\\\\33 - 9x = -25 + 10x\\33 = -25 + 19x\\58 = 19x\\\frac{58}{19} = x[/tex]

We've got x, now let's solve for y:

[tex]y = \frac{11-3x}{-5} = \frac{11-3(\frac{58}{19}) }{-5}[/tex]

Now we got both x and y, and what they equal.

[tex]y = \frac{-7}{19}\\[/tex]

[tex]x = \frac{58}{19}[/tex]

The ratio of x to y, is essentially [tex]\frac{x}{y}[/tex]. So we will calculate that.

[tex]\frac{\frac{58}{19} }{\frac{-7}{19} } = \frac{58}{19} * \frac{19}{-7} = \frac{-58}{7}[/tex]


Related Questions

the question is in the attachment

Answers

Answer:

1 and 7

Step-by-step explanation:

let me know if this is helpful!

Reporting bots and absurd answers. will give brainliest when possible


Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?

x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1

Answers

Answer:

The answer is y squared over 12 minus x squared over 24 equals 1

Step-by-step explanation:

1. give each solid a geometric name. be as precise as you can
а
b
с

Answers

The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.

What is a geometric name?

Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.

A geometric name is the name that is given to a shape. In this case, examples include  triangle, circle, square, rectangle, pentagon, etc.

Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc

Learn more about geometric on:

https://brainly.com/question/16982223

100 points!!! please help with this math!!!

Answers

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²

The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?

Answers

Answer:

6.55 miles

Step-by-step explanation:

26.2 miles in 4 hours means 6.55 each hour adds up to the total.

Do ---> 26.2 divided by 4 to get hourly miles = 6.55

6.55 miles your welcome <333

Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.

How much money did Sofia have before her birthday ?

Answers

Answer:

67.5

Step-by-step explanation:

135/2=67.5

answer is $67.50

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office

Answers

There is the answer step by step

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer:

50 [ft²].

Step-by-step explanation:

1) if the hole is shaded with green colour, then its area

2) can be calculated as sum of three small parts:

2*11+2*7+2*7=2*25=50 [ft²].

In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?

Answers

Cosine is adjacent/hypotenuse
The adjacent side is 13.4 feet
The hypotenuse is 17.4 feet

13.4/17.4

(-3, -2) (2, 1) Find the slope

Answers

Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Y2-Y1/x2-x1
Answer 3/5

What is the perimeter of the given quadrilateral?

Answers

Answer: 20

Step-by-step explanation: a to d, just count how many squares. and you get 5, and there are 4 sides and it's a perfect square so 5 x 4 = 20, so it is 20, you didn't show what the unit will be so don't forget to write that down!

please only geniussssssssssssssssss

Answers

Check the picture below.

Bryce has $28. He spends $15. Then, his mom gives him $5 more. Which equation shows how Bryce can correctly find his total amount of money?

Answers

Answer:

28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18

Step-by-step explanation:

Simple math hope this helped

please help with the word problem

Answers

Answer:

10 mins

Step-by-step explanation:

i hope this helps

Answer:

10 minutes.

Step-by-step explanation:

10 x 3 is 30.

"The difference of six and twice a
number is five."

Answers

Let that number be x.
6-2x=5
2x=1
x=1/2

Answer:

x = 1/2

Step-by-step explanation:

twice a number = 2x

difference means subtract 2x - 6 = 5

2x - 6 = 5                     Add 6 to both sides.

2x + 6 - 6 = 5 + 6        Combine

2x = 11                          Divide by 2

2x/2 = 11/2                

x = 5.5

Is the answer different if it is done the other way around for the difference?

6 - 2x = 5                    Subtract 6 from both sides

-2x = 5-6                     Combine

-2x = - 1                       Divide by -2

-2x/-2 = -1/-2              

x = 1/2

Yes they are different. Following the way the question is written, I would choose the second method.

An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50

Answers

How many numbers from 1 to 50 are multiples of 3?

3, 6, 9, 12, 15, 18 .......

Let's change the start and end value of the array and find the number of terms

Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.

There is a formula that allows us to quickly find the number of terms

We subtract the first term from the last term and divide by the amount of increase, then we add 1.

(48 - 3) / 3 + 1   =   16 numbers are exactly divisible by 3.

We have 50 numbers and 16 of them divisible by 3

16 / 50  = 8 / 25 probability

The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the number from 1 to 50.

Total numbers between 1 to 50 or total outcomes = 50

Total favorable outcomes = total number which is divisible by 3

[tex]=\frac{48-3}{3} +1[/tex]

= 15 + 1

= 16

Now probability will be:

= 16/50

= 8/25

Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ4

How many apples could you buy if you went to the store with five dollars?

Answers

Answer:5 apples

Step-by-step explanation:5x1=5

Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.

Answers

Answer:

£1,330.46

Hope this helps, mate!

Step-by-step explanation:

Hope this helps, mate! :)

A farmer plants wheat and corn. It costs about $150 per acre to plant wheat and about $350 per acre to plant corn. The farmer plans to spend no more than $250,000 planting wheat and corn. The total area of corn and wheat that the farmer plans to plant is less than 1200 acres

Answers

The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200

What is an inequality?

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of wheat acres and y represent the number of corn acres, hence:

150x + 350 y ≤ 250000     (1)

Also:

x + y < 1200     (2)

The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200

Find out more on inequality at: https://brainly.com/question/24372553

It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?

Answers

$20/5 = $4 per sandwich

$4 times 8 = $32 to buy 8 sandwiches

find the value of x, round to the nearest 10th

I will give brainliest

Answers

ACB + BAC =90
ACB + 37 = 90
ACB = 53
Tan (53) = 10/x
X= 7.536
(Hope this helped have a great day)

PLEASE HELP QUICK
9) Which of these MOST helped J.R.R. Tolkien to become a successful writer?
A) His sense of humor.
B) His loving children.
©) His creative imagination.
D) His appetite for success.

Answers

Answer: C) His creative imagination

Step-by-step explanation:

J.R.R. Tolkien's creative imagination most helped him to become a successful writer

Liz's tea was too hot to drink, so she put it in the freezer. The temperature of the tea was
initially 175°F, and it decreased by about 7% each minute. You can use a function to approximate the
temperature of Liz's tea X minutes after she put it in the freezer.
Which equation represents this function?

Answers

The answer for this equation funtion would be The first one because it is the correct answer.

Answer:

Step-by-step explanation:

Help literally fast at possibly

Answers

Answer:

Yes you want to do it again soon

Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.

Answers

{11, 13, 13, 14, 14, 16, 18, 23, 24}

mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9
Total nos=9

As it's odd

Median:-

n+1/29+1/210/25

Median is 5th term 14

Use the equation machine to help you solve the addition equation.
k=8
k=9
k=17
k=26

Answers

.k= 8 Hope this helps

Maggie wants 20 cookies equally in boxes. Each box holds 5 cookies how many does she need?

Answers

Answer:

4 boxes

Step-by-step explanation:

If she has 4 boxes that hold 5 cookies each, that will total 20 cookies.

4×5=20

20÷5=4

4 cookies 5 boxes 4 times 5 equals 20

Please help I will give brainliest.

Answers

    To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.

-> See attached for graph

   1.5x + 4.5y = 18

   4.5y = -1.5x + 18

   y = -[tex]\frac{1}{3}[/tex]x + 4

      The slope is -[tex]\frac{1}{3}[/tex]

                y = -1/3x + 4

       The y-intercept is (0, 4)

                The x-intercept is (12, 0)

4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?

Answers

Answer:

72 breakfasts

Step-by-step explanation:

number of entrees: 4

number of drinks: 6

number of vitamins: 3

four times six times three =

72

Scale word problem
Someone please help me!!

Answers

Answer:

38.4 km

Step-by-step explanation:

Use a proportion.

1 cm is to 12 km as 3.2 cm is to x km.

1/12 = 3.2/x

1 × x = 12 × 3.2

x = 38.4

Answer: 38.4 km

Other Questions
Please, I need your help!! The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. Round answer to the nearest cent. P = $11,000.00, r = 9%, t = 150 days Ms. Bassie bikes a total of 11/12 mile to get to and from work each day. Writean expression that can be used to find the total number of miles that Ms.Bassie bikes to and from work over 5 days. Then evaluate the expression. PLEASE HELP ASAP!!! i dont know this Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41 An investment of $\$24,\!000$ is made in a government bond that will pay $1\%$ bi-monthly interest (meaning that the investment will increase by $1\%$ every two months). At the end of five years, what is the total number of dollars in this investment I need help 1 through 13 please and thank you [ASAP!] What is a widget? 1. a part of a GUI that allows a specific type of interaction with the user 2. an action taken by the user or a process, such as a user clicking a mouse or pressing a key on a keyboard3. an algorithm for handling an error 4. a part of a program that responds to an event please help i am confused. Need Answers for B,C,DBased on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the towns residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, eachwith a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.(a) What is the point estimate of the population? Answer is $0.62(b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?(c) The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?(d) Is the community action groups claim likely based on either interval estimate of the true population proportion? Explain. Fill in the table using this function ruley=5+4xThis is the FORTH time Ive posted this question PLEASE answer IT 20 POINTSSSSS A quad-entry diary is used:a.when asking critical questions.b.while reading.c.during the pre-reading phase.d.during the post-reading phase. how did the lead up and the reaction to the supreme court case Brown vs. Board of education give us some insight into what the struggle for civil rights would be like in the future please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Help me please !!!!!!! Complete the net worth statement. What is the net worth of the individual? A) $171,645 B) $19,950 C) $21,000 D) $26,595 If Michel could have taken the noon train, he ______ in time for the meeting this evening. plural pronouns and singular pronouns eg To add a Wrap Text command to your document in Word Online, what is the first step you need to take?Group of answer choicesSelect the Format tab.Select the image on your document to trigger the Picture Tools Format tab.Select the Insert tab.Select the Wrap Text command, and choose how the text will wrap around an image. Based on the arrows, in which direction are air masses moving? from west to east from north to south toward the equator toward the middle latitude