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

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

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

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

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

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

please only geniussssssssssssssssss

Answers

Check the picture below.

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)

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

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)

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

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

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

Help literally fast at possibly

Answers

Answer:

Yes you want to do it again soon

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

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:

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].

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:

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

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

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.

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!

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

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! :)

(-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

the question is in the attachment

Answers

Answer:

1 and 7

Step-by-step explanation:

let me know if this is helpful!

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

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

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

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

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