Consider two lines having the following equation:​

12y-6x=12 line 1​

8y+4x=16 line 2​

Answers

Answer 1

Answer:

x = 1 and y = 1.5

Step-by-step explanation:

Given that,

12y-6x=12 ..... 1​

8y+4x=16 ...... 2​

Equation (1) can be written as :

2y-x = 2 ... (3)

Equation (2) can be written as :

2y + x = 4 .... (4)

Adding equation (3) and (4)

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

4y = 6

y = 1.5

Put y = 1.5 in equation (3).

2(1.5)-x = 2

3-x=2

x =1

Hence, the solution of the above equations are (1,1.5).


Related Questions

Skylar buys a total of 15 hats and t-shirts.Hats are $7 each and t-shirts at $12 each.He spends a total of $155 write a system of equations.

Answers

7x+12y=155 and x+y=15 x represents hats and y represents t-shirts

If an elevator traveled 330 ft in 10 how far would it travel in 11 seconds

Answers

Answer:

363

Step-by-step explanation:

Answer:

363 ft in 11 seconds

Step-by-step explanation:

Your welcome

in triangle DEF, DE=EF and G is the midpoint of EF. if the measure of GDE=10 what is the measure of E?

Answers

Note: It seems you may have forgotten to attach the diagram. Hence, I am attaching the potential diagram of your question.

Answer:

The measure of angle E is:

m∠E = 80°

Step-by-step explanation:

Given

The triangle ΔDEF

m∠GDE = 10°

DE = EF

G = midpoint of EF

To Determine

m∠E =?

Solving

As DE=EF and G is the midpoint of EF.

It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.

So, the right angle G is m∠DGE = 90°

as

m∠GDE = 10° m∠DGE = 90° m∠E = ?

We know that the sum of angles of a triangle is 180°.

m∠GDE + m∠DGE  + m∠E = 180°

10° + 90° + m∠E = 180°

m∠E = 180°  - 10 - 90

m∠E = 80°

Therefore, we conclude that the measure of angle E is:

m∠E = 80°

What is the volume of the pyramid in cubic millimeters

Answers

Answer:

[tex]V=\dfrac{1}{3}\times A\times h[/tex]

Step-by-step explanation:

The volume of the pyramid is given by the formula as follows

[tex]V=\dfrac{1}{3}\times A\times h[/tex]

A is the area of the base

h is height of the pyramid

If the area and height are in millimeters, the volume of the pyramid will be in cubic millimeters.

For an ellipse whose major axis is horizontal, how does the value of a compare to the distance from the vertices on the horizontal axis to the center?
a. different c. no comparison b. same d. none of the above

Answers

i say it has to be b because it would make more sense

pls answer asap!! no trolls

Answers

[tex]\Large\boxed{\tt Answer: Angle ~CDE}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

Since the sum of the interior angles of a triangle is always 180º, we know that ∠CED and ∠ECD are less than 87º altogether. This is because 93º + 87º = 180º. 87º is already less than 90º, so we know that ∠CDE is the largest angle of this triangle.

Please help! I will love you forever if you do!

Select the letter of the correct answer.
Simplify.
7.5 x 10-14
1.5 x 109
5x 10-5
5x1os
5x 10o23
5x10-23

Answers

Answer:

chiliee im all thee wayy confusedd

The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?​

Answers

Answer:

The probability that a person likes the color blue given that they are a woman=0.25%

Step-by-step explanation:

We are given that

The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]

The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]

We have to find the probability that a person likes the color blue given that they are a woman.

We know that

Conditional probability formula

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

The probability that a person likes the color blue given that they are a woman

=[tex]\frac{0.1}{0.4}[/tex]

[tex]=\frac{1}{4}=0.25[/tex]

Hence, the probability that a person likes the color blue given that they are a woman=0.25%

which system of equations is represented by this graph?

Answers

Answer:

option c is correct

Step-by-step explanation:

you can go with option see

Answer:

I think you should go with option b

Step-by-step explanation:

please mark me as brainliest thank you

Question 1 of 10
Based only on the information given in the diagram, it is guaranteed that
AABC-AXYZ
B.
43
43°
А
A. True
B. False
SUBMIT

Answers

Answer:

True

Step-by-step explanation:

please help asap please​

Answers

Answer:

Option A

Step-by-step explanation:

-7/20 as a decimal number

Answers

Answer:

- 0.35 is the answer.

hope this answer will help you

Answer:

-0.35

Step-by-step explanation:

multiply -7/20 by 5 = -35/100 which also equals -0.35

Write an equation in simplest form that can be used to find the value of x. (Don’t find the value of x)

Answers

Answer:

3x=20

Step-by-step explanation:

Perimeter is just all the sides of a shape added. So, x+x+x=20 or, more simply put, 3x=20.

Cell phone Plan A costs $80 per month and does not come with a free phone. Cell phone Plan B costs $120 per month and comes with a free $840 free phone. If you buy the $840 phone and choose Plan A, how many months is it until your cost is the same as Plan B's?

Answers

Answer:

21

Step-by-step explanation:

21 is the ans

Choose Yes or No to tell if the number 102 will make each equation true.

Answers

Answer:

sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and a standard deviation of . Find the probability that the mean GPA of a random sample of students selected from this university is or higher.

Answers

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

What’s the average of the following set of numbers ( 7,5,4,9)

Answers

Answer:

[tex]6.25[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Observations\ in\ the\ Set=(7,5,4,9)\\ As\ we\ know\ that,\\ Average\ or\ interchangeably\ mean=\frac{Total\ Sum\ of\ observations }{Total\ no.\ of\ observations} \\Here,\\Total\ sum\ of\ the\ observations=7+5+4+9=25\\Total\ number\ of\ observations=4\\Hence\ here,\\Mean/Average=\frac{25}{4}=6.25[/tex]

A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?

Answers

Answer:

15

Step-by-step explanation:

15 different combinations of 2 vegetables are possible

which linear equation has a slope of 1/2 and a y-intercept at (0,0)
a. y= -1/2x+2
b. x -2y=0
c. y=0
d. 2x+y=0​

Answers

Answer:

B

Step-by-step explanation:

please help asap help​

Answers

Answer:

22.5 divide by 2.5

Step-by-step explanation:

=9 hope this helps

Please help me with questions 7&8!!!!

Answers

number 7:
answer: a) odd
b) negative
explanation: let’s look at end behaviour. we know that all odd degree polynomials have opposite end behaviours, meaning that as x approaches negative infinity it will be in an opposite quadrant compared to when x is approaching positive infinity. Since x starts in Quad 2 and ends in Quad 4, we know it’s odd degree!! To figure out whether the leading coefficient is positive or negative, let’s look at what we already know about functions. Any odd function that has a positive leading coefficient will go from Quad 1 to Quad 3. Think about y = x^3 for example. Since this function goes from 2 to 4, the L.C. is negative.

number 8:
answer: a) even
b) negative

explanation: same logic as above but with even degree functions. Think about y = x^2 or x^4

Is -8 - 2(3 + 2x) + 7x equivalent to -30 -13x?

Answers

Answer:

They are NOT equivalent.

Step-by-step explanation:

To find if the expressions are equivalent, we have to simplify the first expression.

Solve:

-8 - 2(3 + 2x) + 7x

Use the distributive property.

-8 - 6 - 4x + 7x

Combine like terms.

-14 - 4x + 7x

-14 + 3x

Since they're not the same, this means that the expressions are NOT equivalent to each other.

Help please! I’ll give brainliest

Answers

1)y=3x
2)y=x
3)y=7x
4)y=x+7
4)y=2x+1
6)y=12x+2

I have a question is $20.21 for the gym membership expensive money or not

Answers

Answer:

It depends

Step-by-step explanation:

Planet Fitness offers 10 bucks a month but they suck (Lunk alarm + pizza nights? really?) If they offer good services like 24 hour fitness or good equipment then go for it my guy!

factorise p^2 + q^2 +5(p^2 + q^2)​

Answers

Step-by-step explanation:

p² + q² + 5(p² + q²)

= 1(p² + q²) + 5(p² + q²)

= (1 + 5)(p² + q²)

= 6(p² + q²).

What is the angle made by two parallel lines​

Answers

Answer:

180°

Step-by-step explanation:

When any 2 lines make an angle of 180° , they are called as parallel lines . In this case both the lines never intersect each other.

When any 2 lines make an angle of 90° , they are called as perpendicular lines . Both the lines intersect each other.

( Usually most get confused in this question and do write 90° or 0° but 180° is the correct answer)

Which Sentence about measuring angles is true?
A. An angle that turns through 10/360 of a circle has a measure of 36°
B. An angle that through 1/12 of a circle has a measure of 1°.
C. An Angle that turns through 10/360 Of a circle has a measure 10°
D. An angle that turns through 1/12 Of a circle has a measure of 12°
Pls help I have to stay up all night answering 200 Questions

Answers

The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Angle

When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.

How to find a  true statement about measuring the angle from the given statements?

Let us discuss all four options.

The measure of a whole circle is [tex]360^{o}[/tex]

(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.

(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.

(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.

Therefore, option (C) is correct.

Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Learn more about angle here-

https://brainly.com/question/13954458

#SPJ2

what is 7/8, 0.98, 98.5% from least to greatest

Answers

first 7/8 as a decimal then you divide 7 and 8 making it o.875 then you already know 98.5 is bigger because of the whole number and 0,98 is bigger than 0.875

Step-by-step explanation:

Answer:

7/8 = 87.5%

0.98 = 98%

98.5%

answer is

7/8,0.98,98.5%

HELP Find the value of x

Answers

X=100
360-63= 297
297-80=217
217-100=117
117/3=39

HELP PLS READ
writing books on wattpad go read them :)
my username is averysksks
don't forget to vote on them :)

Answers

Answer:

Step-by-step explanation:

what are your books about?

Other Questions
What are the primary types of geological activity that occur at plate boundaries ? Choose the best two answers from the list below.O EarthquakesD Ocean trenchesO FaultsO Volcanic activity What are the effects of parallel structure in thisexcerpt? Check all that apply.It adds emphasis to the verbs that describethe British government's oppression.It uses repetition to add power to thecolonists' growing list of grievances.It gives the reader a sense of the amount oftime the colonists have been oppressed.It emphasizes that all of these acts werecarried out by the same person. Drag each credit plan to its description.revolving creditinstallment accountcharge cardBorrowers have a fixed credit line that is replenished as the outstanding balance is paid off.Borrowers have to make regular payments under fixed terms.Consumers can shop using credit at specific locations. what is the answer to the question? Four students rode they bikes too school, I need to know who rode the fastest based on the graphs Can someone help me on this question please? What precautions should you take to avoid exposure to Bloodborne pathogens? How are mass and density different Simplify: - 7 + 17 - 7A. 31B. - 17C. -3D. 17 An aquarium has a total of 24 freshwater creatures in it. There are 9 angelfish, 6 koi, 4 snails, 3 mini crabs, and 2 frogs. Write a ratio to represent the number of snails to the number of all creatures. Simplify if possible, but keep as a fraction.please hurry! Is the amount of stretch of the springs proportional to the hanging mass? Explain briefly. Derive a theoretical expression to find k-equivalent for springs in parallel and springs in series. Which of the following is an example of a close ended question convert to slope intercept form y-3=5(x-7) What is the justification for step 2 in the solution process?12y 40 4y = 6y 18Step 1: 8y 40 = 6y 18Step 2: 2y 40 = -18 HELPPPPPPPPPP!!!!!!!! where did the german coast uprising occur Tennis ball machine can launch 60 tennis balls in 12 minutes. At this rate, how many tennis balls can it launch in 1 hour What does the horizon line show?O A. where the background and foreground meetB. where the ground and sky meetO C. where the ground and bottom of the paper meetOD. where the sky and top of the paper meetI swear to god guys this is my last day please help mee! And only answer if you know the answer please Which rights did most enslaved people have during the antebellum period? Check all that apply.They were allowed to get married.They were able to travel with slaveholders.O They were allowed to learn how to read and write.They were able to live together in slave quarters.They were allowed to travel on their own or with other enslaved people,They were able to pass on traditions within their communities. To make purple paint, Karen mixes 3 cups of blue paint to every 2 cups of red paint. Complete the table to show possible values of b, the number of cups of blue paint, and r, the number of cups of red paint Karen uses. Steam Workshop Downloader