Mathematics College

x+2y=6
2x+4y=12

I need to use substitution to solve, may anybody help?

Answers

Answer 1

[tex]x + 2y = 6[/tex]

[tex]x = - 2y + 6[/tex]
[tex]2( - 2y + 6) + 4y = 12[/tex]
then find y and plug that y value into one of the original equations to find x

Hope this helps!

Related Questions

Experts/ace/geniuses helpp

Answers

square root 144 =  12 so this is the rational number

find A if r = 3.6 femtometers

Answers

I'm taking it that you want this in m^2
Area = pi r^2
r = 3.6 * 10^-15 meters
Area = 3.14 * (3.6 10^-15)^2
Area = 3.14 * 1.296 * 10^-29
Area = 4.069 * 10^-29

A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution table, what is the best value for the interval width?

Answers

There is no hard and fast rule to select the class width. It largely depends on our application.However, one thing that should be kept in mind is that the number of classes should neither to be too low nor too high. So keeping this thing in mind, the class width is select.

The range of the data is = Maximum- Minimum = 96 - 11 = 85
10 classes will be most suited for this data.

The class width for each data can be calculated as:
 
Class Width = Range / Number of Classes  = 85/10 = 8.5
Class width is always rounded to nearest next integer. So the class width will be 9 in this case.
 
So, the best value of class width or interval width for the given data will be 9.

The best value for the interval width is 17

The highest and the lowest data elements are given as:

x = 96

x = 11

Start by calculating the range

Range = High - Low

So, we have:

Range = 96 - 11

Range = 85

The interval width depends on the number of classes.

Assume that the number of classes is 5,

Then the width is calculated as:

Width = Range / Class

So, we have:

Width = 85/5

Width = 17

Hence, the number of interval width is 17

Read more about interval width at:

https://brainly.com/question/16631975

Claire bought 3 bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. Find the cost of each item

Answers

1st: 3b+5s=2.31 2nd: 5b+3s=3.05Multiply 1st by 5 to get:3rd: 15b+25s=11.55Multiply 2nd by 3 to get:4th: 15b+9s=9.15Subtract 4th from 3rd to get: 16s=2.4 s=0.15 or 15 cents (cost of bar of soap)Substitute into 1st to solve for b:3b+5(0.15)=2.313b+0.75=2.313b=1.56b=0.52 or 52 cents (cost of a sponge)

Is the sum of two monomials always a monomial? Is their product always a monomial?

Answers

Sum of two monomials is not necessarily always a monomial.

For example:

Suppose we have two monomials as 2x and 5x.

Adding 2x+5x , we get 7x.

So if two monomials are both like terms then their sum will be a monomial.

Suppose we have two monomials as 3y and 4x

Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.

So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.

Product of monomials:

suppose we have 2x and 5y,

Product : 2x*5y = 10xy ( which is a monomial)

So yes product of two monomials is always a monomial.


The sum of two monomials is not always a monomial and the product of two monomials is always a monomial.

Further explanation:

Explanation:

Consider the two monomials as [tex]5y{\text{ and }}7y.[/tex]

The sum of the two polynomials can be obtained as follows,

[tex]\begin{aligned}{\text{Sum}} &= 5y + 7y\\&= 12y\\\end{aligned}[/tex]

The sum of the two monomials is monomial.

Consider the two monomials as [tex]5y{\text{ and }}7x.[/tex]

The sum of the two polynomials can be obtained as follows,

[tex]{\text{Sum}} = 5y + 7x[/tex]

The sum of the two monomials is not monomial.

Consider the two monomials as [tex]4y{\text{ and }}6x.[/tex]

The product of the two polynomials can be obtained as follows,

[tex]\begin{aligned}{\text{Product}} &= 4y \times 6x\\&= 24xy\\\end{aligned}[/tex]

The product of the two monomials is monomial.

The sum of two monomials is not always a monomial and the product of two monomials is always a monomial.

Learn more

Learn more about the polynomial https://brainly.com/question/12996944 Learn more about logarithm model https://brainly.com/question/13005829 Learn more about the product of binomial and trinomial https://brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: sum, two monomial, monomials, always monomial, product, always, monomial, factor, factorization, polynomial, quadratic, cubic, greatest common factor, groups, multiplication, product, identities, common factor, expression, terms, grouping.

Rosa paints a wall in her bedroom. She puts green paint on 5/8 of the wall and blue paint on 3/8 of he wall. Compare fractions using <>=

Answers

5/8 > 3/8
or it could be written as
3/8<5/8 

The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus? Explain how you found your answer.

Answers

If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²

If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in

The height is 9.6 in.

In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box.

Answers

[tex]\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=6\\ \theta =\frac{7\pi }{4} \end{cases}\implies s=6\cdot \cfrac{7\pi }{4}\implies s=\cfrac{21\pi }{2}[/tex]

Answer:

[tex]Arc length=32.97m[/tex]        

Step-by-step explanation:

It is given that In a circle with a radius of 6 m, an arc is intercepted by a central angle of [tex]\frac{7\pi}{4}[/tex] radians.

Then, the arclength of the circle is given as:

[tex]Arc length=radius{\times}central angle[/tex]

⇒[tex]Arc length=6{\times}\frac{7\pi}{4}[/tex]

⇒[tex]Arc length=\frac{21\pi}{2}[/tex]

⇒[tex]Arc length=10.5{\times}3.14[/tex]

⇒[tex]Arc length=32.97m[/tex]

Thus, the arc length of the given circle is 32.97m.

a rectangular prism has a top area of 20ft square and a height of 5ft. what is the volume of this rectangular prism

Answers

V = Bh
.. = (20 ft^2)*(5 ft)
.. = 100 ft^3

The volume of this rectangular prism is 100 ft^3.

Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. What does 14 mean? A) The temperature only adds 14 to the damage index. B) If there is no damage index then the ambient temperature is 14. C) If the damage index is 0, then the ambient temperature would be 0. D) If the ambient temperature is 0 then the damage index would be 14.

Answers

Given is the damage index equation, [tex] y=\frac{-2}{3} x+14 [/tex]

where y represents damage index, and x represents ambient temperature.

It is similar to slope-intercept form of linear equation given by y = mx + b.

Where m is said to be the slope of line and b is the y-intercept of the line. When x = 0, y = b.

Similarly, if plug x = 0 in the damage index equation, [tex] y=\frac{-2}{3} (0)+14=14 [/tex]

So, If ambient temperature, x = 0. Then damage index, y = 14.

Hence, option D is correct i.e. " If the ambient temperature is 0 then the damage index would be 14".

Answer:

The answer is D because 14 is the y-intercepts, which means that the x-value is 0. So the correct meaning is If the ambient temperature is 0 then the damage index would be 14. .

Step-by-step explanation:

This figure shows circle O with ​ diameter QS ​.



mRSQ=280∘



What is the measure of ∠ROQ ?

Answers

now, if you notice the picture, the arcRSQ is 280°, since a circle has a total of 360°, then the arcRQ is  360° - 280°, or just 80°.

keeping in mind that arc's get their angle measurement from the central angle they're in, well, in this case the central angle for arcRQ is ∡ROQ, sor ∡ROQ = arcRQ.

A tailor cut 3/4 of an inch off a skirt and 1/6 of an inch off a pair of pants. How much more did the tailor cut off the skirt than the pants?

Answers

Final answer:

To find out how much more was cut from the skirt than the pants, convert fractions to have a common denominator and subtract: 3/4 inch minus 1/6 inch equals 7/12 inch.

Explanation:

To determine how much more the tailor cut off the skirt than the pants, we need to subtract the length cut from the pants from the length cut from the skirt. The tailor cut 3/4 of an inch off the skirt and 1/6 of an inch off the pants. To perform the subtraction, we need a common denominator, in this case, 12 is suitable. So we convert 3/4 to 9/12 and 1/6 to 2/12.

Now, we subtract the smaller fraction from the larger one:

9/12 - 2/12 = 7/12 of an inch.

Therefore, the tailor cut 7/12 of an inch more off the skirt than the pants.

Identify the hyperbolas (represented by equations) whose centers are at (2, 1)

Answers

When the transverse axis is horizontal, a hyperbola centered at (h,k) has formula (x-h)^2/a^2-(y-k)^2/b^2=1. Plug in h=2, k=1, the formula is (x-2)^2/a^2-(y-1)^2/b^2=1 for some a,b. If the transverse axis is vertical, the formula is (y-h)^2/a^2-(x-k)^2/b^2=1, and (y-2)^2/a^2-(x-1)^2/b^2=1 in our case.

Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note?

Answers

The maturity value of the note is
.. mv = P*(1 +rt) = 20,000*(1 +.08*1) = 21,600

The note is sold to Ben at the discounted price of
.. 21,600*(1 -rt)
.. = 21600*(1 -.0775*0.75) . . . . . 9 months is 0.75 years
.. = 20,344.50

Ben pays $20,344.50 for the note, which has a maturity value of $21,600.

On any given flight, an airline's goal is to fill the plane as much as possible, without overbooking. if, on average, 10% of customers cancel their tickets, all independently of each other, what is the probability that a particular flight will be overbooked if the airline sells 320 tickets, for a plane that has maximum capacity 300 people? what is the probability that a plane with maximum capacity 150 people will be overbooked if the airline sells 160 tickets?

Answers

a) p(x≥301) ≈ 0.00683

b) p(x≥151) ≈ 0.03590

Solve for x. x − 4 1/6 = 9 1/3 A) −131 2 B) −51 6 C) 131 2 D) 51 6

Answers

I believe the answer is B
The answer would be: B -51 6

15% of the bands total ticket sales is $375. Which proportion should we use

Answers

2,500

Hope this helped!

which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3

Answers

You can solve this problem by applying the proccedure below:
 
 You have:
 
 a) 18/21=2/3
 18x3/21x2
 36≠42 (2/3 is not proportinal to 18/21).
 
 b)18/21=30/35
 18x35/21x30
 630=630  (30/35 is proportional to 18/21)
 
 c)18/21=36/48
 18x48/21x36
 864≠756  (36/48 is not proportinal to 18/21)
 
 d)18/21=1/3
 18x3/21x1
 54≠21  ( 1/3 is not proportinal to 18/21)
 
 Therefore, you can conclude that the correct option is: B.30/35

(3x10^3)(2x10^5)
Write the answer in scientific notation

Answers

PEMDAS
parenthesis go 1st
then exponents
multiply
divide
add
subtract
 10x3=30x3=90  then 2x10=20x5= 100 and after 90x 100=9000 so 9000 is ur answer





A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find

out how far from the base of the flagpole the top of the flagpole touched after it had fallen.

Answers

The top of the flag pole touched the ground 12 feet from the base.

Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed.  The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground.  The missing side is the horizontal leg, which we will call b:

9²+b²=15²
81+b²=225

Subtract 81 from both sides:
81+b²-81=225-81
b²=144

Take the square root of both sides:
√b²=√144
b=12

Leo paid $2400 in interest on an amount borrowed for 10 years at a 4% annual simple interest rate. How much did Leo borrow?

Answers

Answer: $6000

Explanation:

1) Simple interest means that the interests are calcualted over the original amount borrowed and they are the same every year.

2) yearly interest = interest / number of years = $2400 / 10 = $240

3) the yearly interest equals the amount borrowed times the simple intereset rate:

=> $240 = A * 4%

=> $240 = A * 0.04

=> A = $240 / 0.04 = $6000

You can do the same in one step:

interest = A * simple interest rate * number of years

=>  A = interest / [simple interest rate * number of years] = $2400 / [4% * 10]

A = $2400 / (0.04 * 10) = $2400 / 0.4 = $ 6000.

And that is the answer: he borrowed $6000

What is BP? Enter your answer as a decimal in the box

Answers

check the picture below.

How do you find the perimeter of a tennis court with an area of 7,200?

Answers

most likely divide it by 4

In one week, the Green Recycling Center
received 784 aluminum cans. They
received the same number of cans each
day. How many cans did the recycling
center receive each day?

Answers


[tex]784 \div 7 = 112[/tex]
112 cans each day

one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate

Answers

Assuming I understand what you're saying, if there are 2 boxes in a crate and 18 bags in a box, the answer would be 12 * 36 = 432

What are the solutions to the equation √ ̅5x + 1 = x + 1?

Answers

0 

0 is your solution

√5(0) + 1 = (0) + 1

0 + 1 = 0 + 1 (True)

No other number works, because it will not equal


hope this helps

given that 1 is a zero of p(x)=3x^4-x^3-8x^2+2x+4, factor the polynomial completely, and then list all its zeros.

Answers

Divide p over (x-1) with euclidian division we get the quotient:
[tex]3x^3+2x^2-6x-4[/tex]
Note that -2/3 is also roots of the above polynomial. 
Checking:
[tex]3(-2/3)^3+2(-2/3)^2-6(-2/3)-4=0[/tex]
Dividing again with euclidian algorithm we get the quotient:
[tex]3x^3+2x^2-6x-4[/tex] over [tex]3x+2[/tex] is [tex]X^2-2[/tex].
Final factorization:
[tex]p(x)=(x-1)(3x+2)(x-\sqrt2)(x+\sqrt2)[/tex]

Please help with number 4 please !!

Answers

The lower-left statement is a statement of the Associative Property of Addition. The others are statements of the Commutative Property of Addition. It appears the lower-left statement "doesn't belong".

What is the volume of a cube with an edge length of 2.7 centimeters?

Enter your answer, as a decimal, in the box.


cm³

Answers

For the volume you have to cube (hence the name) the edge length:

(2.7)³ = 19.683 cm³

Answer:

the answer is V≈19.68cm³

V=a3

a

Edge

cm

Step-by-step explanation:

The circumference of a circular field is 229.22 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.

Answers


[tex]c = 2\pi \: r \\ \\ 229.22 = 2\pi \: r \\ \\ \frac{229.22}{2} = \pi \: r \\ \\ 114.61 = \pi \: r \\ \\ \frac{114.61}{3.14} = r \\ \\ r = 36.5[/tex]
so the radius is 36.5
Other Questions
S = 3V / H What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. what are the area and perimeter of square BCDE The height ( in inches ) of the starting players on a high school basketball team are:72,75,78,72,73 how many starting players are there? What is the mean height? What is the median height? Does one measure describe the data better than the other? A grocery store sells chili peppers at $2.04 for a dozen. At this rate, what's the cost per pepper? A. $0.17 B. $1.70 C. $0.07 D. $1.07 beware the jabberwock my son the jaws that bite the claws that catch beware the jubjub brid and shun the frumious bandersnatch!a: the use of nonsense language like jubjub and frumiousb: the image of the jabberwock with claws that claws that catchc: number of words in each line of the stanzad: the rhyming of son and shun and Bandersnatch Which of the choices below is not a functional process performed by the respiratory system?a.pulmonary ventilationb.transport of respiratory gasesc.external respirationd.pulmonary respiration? The novel has at times been considered an inferior art form. True False Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft? Why did European contact with Africa increase in the 1800s Fill in the blank. The number pi relates the diameter of a circle to its_____ a.circumference b.center c.radius d.chord The personality traits that tonya demonstrates at parties with her friends are very different from those she exhibits when she participates in class activities. using your knowledge of reciprocal determinism to explain why the variability of tonya's behavior in different situations is not surprising. Which word correctly completes this sentence? Ayer com demasiado y me doli ____________.el brazoel tobillola rodillael estmago Read the following passage and answer the question that follows: from Metamorphosis by Franz Kafka (1)One morning, when Gregor Samsa woke from troubled dreams, he found himself transformed in his bed into a horrible vermin. He lay on his armour-like back, and if he lifted his head a little he could see his brown belly, slightly domed and divided by arches into stiff sections. The bedding was hardly able to cover it and seemed ready to slide off any moment. His many legs, pitifully thin compared with the size of the rest of him, waved about helplessly as he looked. (2)"What's happened to me?" he thought. It wasn't a dream. His room, a proper human room although a little too small, lay peacefully between its four familiar walls. A collection of textile samples lay spread out on the table -Samsa was a travelling salesman - and above it there hung a picture that he had recently cut out of an illustrated magazine and housed in a nice, gilded frame. It showed a lady fitted out with a fur hat and fur boa who sat upright, raising a heavy fur muff that covered the whole of her lower arm towards the viewer. (3)Gregor then turned to look out the window at the dull weather. Drops of rain could be heard hitting the pane, which made him feel quite sad. "How about if I sleep a little bit longer and forget all this nonsense", he thought, but that was something he was unable to do because he was used to sleeping on his right, and in his present state couldn't get into that position. However hard he threw himself onto his right, he always rolled back to where he was. He must have tried it a hundred times, shut his eyes so that he wouldn't have to look at the floundering legs, and only stopped when he began to feel a mild, dull pain there that he had never felt before. What does the description of Gregor's apartment and occupation tell you about this character? (5 points) Select one: a. He is wealthy. b. He is ordinary. c. He is playful. d. He is powerful. What are the short-term effects on the land? (Flooding, coastal dune erosion, etc.) Give the empirical formula of a compound that contains 11.6g iron and 5.01 g of oxygen PLEASE HELP ME ON THISQUICKLY!!!!!!!!!!!!!!!!!~BRAINLIEST AVAILABLE Match the definition to the term.1. imaginative writing, not totally real or true2. remembrances of the past3. class, species, or distinctive groups of art or literature4. informational writing true to fact5. implied comparison between two things6. short, concise writing usually about a favorite or unusual personality7. writing containing convincing information and/or appeals to logic or emotion8. writing that breaks a subject into parts and examines it9. logicality10. explanatory writing, factual11. use of definition, details, examples, comparisons, in expository writing12. a comparison between two things using like or as13. writing which proves a particular viewpoint or belief14. use of similes, metaphors, hyperbole, and personification15. giving an inanimate object or idea human qualities, Which research question would be the most effective in researching the harmful effects of food pesticides?What are the most frequently used pesticides on farms that grow food for human consumption?Where are the majority of pesticides used on fruits and vegetables manufactured?How much does it cost each year to protect food crops that are grown using pesticides?Are fruits and vegetables that are grown on farms that use pesticides dangerous for human consumption? What factor about a person will best predict long-term recall of newly learned complex information about biology? The federal deposit insurance corporation (fdic) is an insurance agency that is supported by the government in the united states. a. True b. False