2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer 1

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer 2

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]


Related Questions

the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes

Answers

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.

Answers

Answer:

C

Step-by-step explanation:

Hope it can help you lovelots

If 7 > 2, then explain why -7 < -2.

Answer =》C. Because -7 is more negative and further to the left on the numberline than

-2.

______

RainbowSalt2222 ☔


Type the expression that results from the following series of steps:
Start with z and add 5.

Answers

the answer will be z+5

12÷5/2=
Tell the answer quick!!

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

mark braineist pls

What is 93x43 please show your work.

Answers

This answer would be 4,4042

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?

Answers

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

https://brainly.com/question/25292087

#SPJ2

PLS SOMEONE HELP PLSSS

Answers

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

using oliver's table, how can you find the unit rate

Answers

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

How to find the unit rate?

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

Read more about Unit Rate at; https://brainly.com/question/19493296

#SPJ1

Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Please help me please

Answers

1. she makes a profit

2.300$

3.25%

C.

1.3000$

2.9000$

ok done. Thank to me :>

One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?

Select all that apply.

Thank You, Ma’am


He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.

The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.

The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.

“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.

Answers

Answer:

Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.

Step-by-step explanation:

Brainliest Please!

The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.

These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.

To know more about respectful treatment :

https://brainly.com/question/28730771

#SPJ3

Can someone help me out with this please​

Answers

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

a.

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

b.

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

c.

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

d.

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

e.

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

Please help me quickly

Answers

Step-by-step explanation:

a full circle (turning around a point a full turn) is 360°.

so, all these angles together must be 360°.

90 + 33 + 165 + 20 + x = 360

308 + x = 360

x = 52°

SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?

Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths

Answers

Answer:

It's the first one. Why?

I converted all the mixed fraction into simplified form.

3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] +  [tex]\frac{5}{7}[/tex]

I divided the denominator of 11/3 by 42. 42/3=14

and 5/7. 42/7, which is 6.

So I concluded the first answer was right because it didn't work out for the other variables.

I hope the answer was right, and I hope you have a great day luv. Bye!

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

Answers

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

Please help me please help meeee

Answers

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)

Answers

Answer:

[tex]f(-2)=-17[/tex]

Step-by-step explanation:

[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]

f(x) = 2x² - 15

f(-2) = ?

Substitute -2 in the place of x.

f(x) = 2x² - 15

f(-2) = 2(-2)² - 15

f(-2) = 8 - 15

f(-2) = -7

______

Hope it helps :)) ⚜

How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).


pls help will mark as brainlist ​

Answers

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

I'M CONFUSED can anyone explain how to solve/do this ? ​

Answers

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Urgently please it is due today

Answers

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

the total surface area of an cube is 294cm2 work out the volume of the cube

Answers

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

Somebody, please help me with this MATH question.

Answers

Answer: F(x)= 4,800(1.5)^X

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equation representing the given statement is ~

[tex]50x + 330 \geqslant 820[/tex]

The least number of lawns that he can cut and buy the computer is 10 lawns ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

50x

total savings is equal to ~

330 + 50x

hence,

[tex]50x + 330 \geqslant 820[/tex]

by solving for " x (number of lawns cut) " we get ~

[tex]50x \geqslant 820 - 330[/tex]

[tex]50x \geqslant 490[/tex]

[tex]x \geqslant 490 \div 50[/tex]

[tex]x \geqslant 9.8[/tex]

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

[tex]10[/tex]

6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?

Answers

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Answers

-146 is the 32nd term in the sequence

Answer:

-146

Step-by-step explanation:

so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows

9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146

the 32nd term would be -146

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Triangle JKL has the following measures:

Side JK = 4 cm

Side KL = 7 cm

Angle J = 38°

Triangle PQR has the following measures:

Side QR = 7 cm

Side PQ = 4 cm

Angle Q = 38°

Which statement is accurate about triangles JKL and PQR?

A. They are not congruent

B. They are based on AAS criteria

C. They are based on SSS criteria

D. They are based on SAS criteria​

Answers

The triangles are not congruent.

Option A is correct.

Find the measure of the exterior angle.

Answers

Answer:

125

Step-by-step explanation:

75 + 50

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.

Answers

Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

Other Questions
Equations and Inequalities: TutorialEach year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a yearand provides discounts at many area businesses.This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cardsthat students sold last year, match each algebraic expression to what it represents.Drag the tiles to the correct boxes. Not all tiles will be used.Tiles20nn + 20020n + 20020(n + 200)200nPairsrevenue from last yearnumber of cards sold this year if students sell 200 more cards than last yearrevenue this year if students sell 200 more cards than last year which type of restraint equipment works well in controlling the head movement of a large dog? A.what is biology b.what is sciences When we write a paragraph using a particular main pattern, we should not use any other patterns within that paragraph. True or False? What is 66% of 350? helpp ANSWER ASAP PLEASE!!!!!What is the domain of the square root function graphed below?A. x is less than or equal to -1B. x is greater than or equal to -1C. x is less than or equal to 0D. x is greater than or equal to 0 a man can jump 9meteres on the moon.how high can he jump on the earth. Which statement about the lines below is true?4y = -16 and 3x = 27Select all that apply.A Line 4y = -16 is horizontal.B. Line 3x = 27 is vertical.OC. For both lines, all points on the line have an x- and a y-coordinate.D. For either line, one of the coordinates of all the points is always the same value. help please i need help Explain why contractile vacuoles would be of little value to one-celled organisms living in the ocean (salt water) Can someone pls help me with this ? Can you guys help me with Art Around the World escape room this is my last question Select the correct answer. The author uses Lily's behavior to develop which theme?A. Desperate times call for desperate measures. B. Intelligence is given to some but not to others. C. Patience rewards those who practice it. D. Success eludes those who do not put forth effort. (1) All I want to say is that they don't really care about us Don't worry what people say, we know the truth All I want to say is that they don't really care about us Enough is enough of this garbage All I want to say is that they don't really care about us Situation: Basic Ten A firm has a weighted average cost of capital of 11.68 percent and a cost of equity of 15.5 percent. The debt-equity ratio is 0.65. There are no taxes. What is the firm's cost of debt If 2 gallons of milk cost $8.00, how much is 1 quart of milk? John carries a 5 kg bag horizontally to the checkout line. How much work must hedo to move it 8 m at a constant velocity of 1 m/s to the right? not sure.. help me???? what should alexis say to demonstrate recall to Charlie (Check all the apply)You want to go to Mexico for spring breakYour parents want you to come homeYou need $300 to cover remaining trip expenses You want to borrow $300You think you can earn the money within the next couple of monthsYou are planning to deceive your parents by telling them youre coming home please help me ! dont use this for points, or send any gross links. if you actually KNOW the answer, please do comment / help me! this is: KS3 YEAR 8 !