What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16

Answers

Answer 1

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12


Related Questions

the sum of the two postive numbers in 9. what is the maximum product that will result from the first number and the square of the second number.

Answers

Answer:

i believe this is the answer 4.5 and 4.5

Step-by-step explanation:

Let the nos to be a,b then

a+b==9

ab to be maxed

above eq can also be written as a(9-a)

9a - a^2==0

differ. this eq

9–2a=0

a=9/2==4.5

so the nos are 4.5 and 4.5

but if you want answers in integer then Nos are4 and 5

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?
π(12in)2(3in) − 7(four over threeπ(1.5in)3)
π(3in)2(12in) − 7(four over threeπ(1.5in)3)
π(12in)2(3in) − 1.5(four over threeπ(7in)3)
π(3in)2(12in) − 1.5(four over threeπ(7in)3)

Answers

Answer:

Step-by-step explanation:

Vase:

h = 12 in

r = diameter/2 = 6/2 = 3 in

Volume of vase = πr²h

                            = π(3)²*12

Marbles:

r = 3/2 = 1.5 in

\(Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}\)

Volume of water = Volume of vase - volume of 7 marbles

                            \(= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}\)

Answer:

second choice

Step-by-step explanation:

the volume of water in the vase

= volume of the vase up to the height 12 inches - volume of 7 marbles

= π(6/2)²(12) - 7(4/3)π(3/2)³

so answer is the second choice

−4(2x+5)+2x+3= −11 what is x

Answers

Answer:

X=-1

Step-by-step explanation:

− 4 ( 2 + 5 ) + 2 + 3 = − 1 1

− 8 − 2 0 + 2 + 3 = − 1 1

− 8 − 1 7 + 2 = − 1 1

− 6 − 1 7 = − 1 1

− 6 − 1 7 + 1 7 = − 1 1 + 1 7

−6 = 6

Then, divide both sides of the equation by the same term: 6

and you get x=-1

A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.​

Answers

40m+35=

Step-by-step explanation:

I'm not sure but I think it is this

40m+35=

13,644 round to nearest ten thousand

Answers

Answer:

14,000

Step-by-step explanation:

(anything lower than 5 doesn't go up)

13,644 (4 is lower than 5 so the second number stays the same)

13,640 (4 is lower than 5 so the third number stays the same)

13,600 (6 is higher than 5 so the fourth number goes higher)

14,000 is the answer

ps can u please give me brainly

Answer:

13000

Step-by-step explanation:

the number in the ten thousandth place is 1 check

after 1 if value is 5 or greater round it

l-7l =
whatffwfefffwwfw

Answers

The answer is 70
How I know this I just do thank you for your time!

if 20% of 200 people know how to ski, how many people know how to ski

Answers

Answer:

200 x 20% = 200 x 20/100 = 40.

Answer is 40.

find the length of the missing sides round answers to the nearest tenth

find the length of the missing sides round answers to the nearest tenth

Answers

Answer:

x= 9.37

y = 17.69

Step-by-step explanation:

in order to find the answer, use the trigonometries.

First finding x which is tan(32) = x/15

x = tan(32)15

and Y is cos(32) = 15/y

y = 15/cos(32)

I hope this helps

Which number doesn't share the same pattern as
2,20, 4,8,300​

Answers

The number 2 dosent share the same pattern

1st question answer pls

 1st question answer pls

Answers

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

(x, y) are any point that lies on the parabola,a is a constant determining whether the parabola opens upward or downward,and (h, k) are the coordinates of the vertex.

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

 1st question answer pls

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

1500 students in class and 1200 are present what is percentage of absent?

Answers

Answer:

300% percent of the people are absent...

Step-by-step explanation:

Here is a frequency distribution table (FDT) for a small data set: data value frequency 14 14 15 11 16 23 17 10 18 13 Find the following measures of central tendency: mean (I (Please show your answer to one decimal place.) median (Please enter an exact answer:) mode (Please enter an exact answer: )

Answers

The mean is 14.7, the median is 16, and the mode is 16.

To find the mean, we need to calculate the sum of all the data values and divide it by the total number of observations.

The sum of the data values is:

14 x 14 + 15 x 11 + 16 x 23 + 17 x 10 + 18 x 13 = 196 + 165 + 368 + 170 + 234 = 1043

The number of observations is:

14 + 11 + 23 + 10 + 13 = 71

The mean is calculated as follows,

1043 / 71 = 14.7 (rounded to one decimal place)

The median is the central value in the data collection. To find the median, we need to arrange the data values in ascending order and find the middle value. In this case, we have an odd number of observations, so the median is simply the middle value.

14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18

The median is 16.

The mode is the value that appears most repeatedly in the data set. In this case, the mode is 16 since it occurs the most (23 times).

To know more about data values, here

https://brainly.com/question/16151153

#SPJ4

Pamela is buying a $242,000 home with a 30-year mortgage. She will make
an 8% down payment. Use the table below to find her monthly PMI payment.
Base-To-Loan %
95.01% to 97%
90.01% to 95%
85.01% to 90%
85% and Under
OA. $96.48
OB. $144.72
OC. $157.30
OD. $151.01
Fixed-Rate Loan
30 yrs. 15 yrs.
0.90% 0.79%
0.78% 0.26%
0.52% 0.23%
0.32% 0.19%
ARM 2% +1 Year Cap
30 yrs.
15 yrs.
n/a
0.92% 0.81%
0.65%
n/a
0.37%
0.54%
0.26%

Answers

To find Pamela's monthly PMI payment, we need to determine her loan-to-value (LTV) ratio based on her down payment and loan amount. Given that she is making an 8% down payment on a $242,000 home, her loan amount would be 92% of the purchase price, which is $242,000 * 0.92 = $222,640.

Looking at the "Base-To-Loan %" table, we see that Pamela's LTV ratio falls within the range of "90.01% to 95%". To determine her monthly PMI payment, we refer to the "Fixed-Rate Loan" column for a 30-year term, which has a corresponding PMI rate of 0.78%.

To calculate the PMI payment:
PMI payment = (Loan amount * PMI rate) / 12

PMI payment = ($222,640 * 0.0078) / 12 = $144.72

Therefore, Pamela's monthly PMI payment would be $144.72 (Option B).
To find Pamela's monthly PMI payment, we first need to determine which base-to-loan percentage range she falls into. Since she is making an 8% down payment, the loan-to-value (LTV) ratio would be 92%. Let's compare this to the given ranges:

Base-To-Loan %
95.01% to 97%
90.01% to 95%
85.01% to 90%
85% and Under

In this case, Pamela falls into the "90.01% to 95%" range. Now, we need to find the corresponding PMI rate for a fixed-rate loan with a term of 30 years.

Fixed-Rate Loan
30 yrs.
0.90% 0.79%
0.78% 0.26%
0.52% 0.23%
0.32% 0.19%

According to the table, the PMI rate for Pamela's situation is 0.78%.

Next, we calculate the monthly PMI payment using the loan amount and the PMI rate. Since Pamela is buying a $242,000 home and making an 8% down payment, the loan amount would be 92% of $242,000:

Loan amount = 0.92 * $242,000 = $222,640

To calculate the monthly PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 (months):

Monthly PMI payment = ($222,640 * 0.78%) / 12

Now, let's perform the calculation:

Monthly PMI payment = ($222,640 * 0.0078) / 12
= $1736.83 / 12
= $144.74

Therefore, Pamela's monthly PMI payment is approximately $144.74.

From the provided options, the closest value to the calculated monthly PMI payment is option OB: $144.72.

Of the 40 students in a class , 2/5 are girls. Of the girls , 1/4 wear glasses. How many girls do not wear glasses

Answers

Answer:

12 girls

Step-by-step explanation:

2/5 x 40 = 16

1/4 x 16 = 4

16 - 4 = 12

Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9

Answers

Answer: is A

Step-by-step explanation:

Audrey is growing basil. On February 1st, her plant was 5 inches tall. A week later, the plant was 9 inches tall. By what percent did the plant grow?

Answers

Answer:

80%

Step-by-step explanation:

We know that the plant was 5 inches and it grew 4 inches to become 9 inches, so now we just need to figure out what percentage 4 is of 5. An easy way to do this is by multiplying 5 by 2 to get 10 and since 4 is 40% of ten we know that 4 is 80% of 5 because we have to multiply 4 by 2 because we did 5.

the plant grew by 80%.

Step-by-step explanation:

What is the surface area of a triangular prism

What is the surface area of a triangular prism

Answers

Answer:

surface area=bh+2ls+lb

Step-by-step explanation:

If you think it is too long to remember, just find the area of each of the shapes on it and add them together.

Hope this helps :)

What is the surface area of a triangular prism

What is the equation of the line in slope intercept form?

What is the equation of the line in slope intercept form?

Answers

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.

Answers

The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²

What is the Area of a Triangle?

Area = 1/2(base)(height).

Given the parameters:

Base length = 2ac² cmHeight = 2ac² + 6 cm

If a = 4 and c = 2, then:

Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)

Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)

Area = 1/2(32)(38)

Area = 608 cm²

Learn more about the area of a triangle on:

https://brainly.com/question/21735282

#SPJ1

what fraction of an hour is 6 minutes? give answer in its simplest form

Answers

Answer:

fraction is 1hr has 60 min so 6/60 is 1/10th fraction

Step-by-step explanation:

Answer:

QUESTION: what fraction of an hour is 6 minutes? give the answer in its simplest form.

ANSWER: 0.100

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Evaluate the following algebraic expression: 64-9p when p=4

Answers

Answer:

28

Step-by-step explanation:

64 - 9(4)

64 - 36

28

5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer

Answers

Answer:

9000

Step-by-step explanation:

4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute

Answers

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.

Answers

Answer:

6 feet

Step-by-step explanation:

Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;

Area scale factor = \((linear scale factor)^{2}\)

linear scale factor = \(\sqrt{Area scale factor}\)

Area scale factor = \(\frac{98}{18}\)

So that,

linear scale factor = \(\sqrt{\frac{98}{18} }\)

                              = 2.3333

The length of side of polygon A = \(\frac{14}{2.3333}\)

                                       = 6.0085

Therefore, the corresponding side length of polygon A is 6 feet.

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
the trip takes 6 hours at 900 km/h, what would be the speed if the trip took 10 hours?

Answers

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!​

Answers

The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.

Upon unscrambling, we can find several possible words:

1. Sixty

2. Zesty

3. Skit

4. Site

5. Size

6. Exit

7. Yeti

8. Kits

9. Kite

10. Ties

These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.

Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.

Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.

So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."

For more questions on List .

https://brainly.com/question/15143791

#SPJ8

The circumference of a circle is 87 cm. What is the DIAMETER of the circle?

A) 2 cm

B) 4 cm

C) 6 cm

D) 8 cm​

Answers

Answer:

27.70

Step-by-step explanation:

you have to do 87 divided by the pi you only have to do 3.14 as the pi.

Rae leaves a party and heads north
walking at 2 km/hr. Dana leaves the same
party one hour later and heads south at
pace of 3 km/hr. How many hours will it
take the friends to put 7 km between
them?

Answers

The required it will take 2 hours for the friends to put 7 km between them.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ1

Bridget rolls a fair dice 360 times. How many times would Bridget expect to roll a five?

Answers

Answer:

60

Step-by-step explanation:

The probability of rolling a 5 is

P(5) =number of 5's on a die/ total number of numbers on a die

        =1/6

Multiply the probability times the number of rolls

P(5) * 360

1/6 * 360

60

She should expect 60 rolls with a number 5.

Other Questions
The greatest integer less than or equal to [tex] \rm \int_{1}^2 log_{2}( {x}^{3} + 1 ) dx + \int_{ 1 }^{log_{2}(9)} ( {2}^x - 1) {}^{ \frac{1}{3} } \: dx \: is \\ [/tex] Be nice and help thankss Yo 1.(preparar) la cena a mis hermanosNosotros 2.(decir) la verdad a nuestros padres.Yo siempre 3.(dar) amor a mi familia.T 4.(mandar) regalos a tus hermanos.Yo 5.(dar) un regalo a ti.Ella nunca 6.(prestar) su coche a m.Yo 7(hablar) espaol a mis abuelos.Felipe siempre 8.(servir) chiles a m.To Antonio 9.(regalar) muchas cosas a nosotros.Yo 10.(prestar) mis lentes a ti. Why atoms in our body dont eject electrons? what aldonic acid is formed by oxidation of the monosaccharide? help pleAse, this is extra credit and I do not want to fail this quarter In terms of absolute* plate motion, why is the Indian plate colliding with the Eurasian plate?A:In absolute terms, the Indian and Eurasian plates are both moving NORTHWARDS, but the Indian plate is moving FASTER than the Eurasian plate.B:In absolute terms, the Indian and Eurasian plates are both moving NORTHWARDS, but the Indian plate is moving SLOWER than the Eurasian plate.C:In absolute terms, the Indian and Eurasian plates are both moving SOUTHWARDS, but the Indian plate is moving FASTER than the Eurasian plate.D:In absolute terms, the Indian and Eurasian plates are both moving SOUTHWARDS, but the Indian plate is moving SLOWER than the Eurasian plate.E:In absolute terms, the Indian plate is moving NORTHWARDS and the Eurasian plate is moving SOUTHWARDSF:In absolute terms, the Indian plate is moving SOUTHWARDS and the Eurasian plate is moving NORTHWARDS A particle is moving with acceleration a(t) = 30t + 14. its position at time t = 0 is (0) = 16 and its velocity at timet O is v(0) = 17. What is its position at time t = 5? Money+is+borrowed+at+a+10%+simple+interest.+after+one+year+$1230.90+pays+off+the+loan.+how+much+was+orginally+borrowed? hs Select the (2) answers that are pros of Globalization Select 2 correct answer(s) It weakens traditional and cultural values It increases toleration and openness of others It offers items that consumers can't find produced in their own country It has resulted in companies being accused of slave labor wages, poor living & working conditions, and moving to avoid paying taxes Theater arts Shakespeare was born in 1564 in the city of... What happened to Marie Antoinette and her children Help! What role does lactase play in breaking apart the disaccharide lactose?lactase provides a binding site for lactose to initiate chemical breakdown.lactase lowers the activation energy needed to begin breaking down lactose. lactase releases heat during the breakdown of lactose.lactase prevents too many disaccharide molecules from clumping together during chemical reactions Find the balance in Graces account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%. mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did each person get? ANSWER PLS!!!I WILL GIVE BRAINLIST (PLEASE HELP 30 POINTS ROMEO AND JULIET) write important vocabulary words from romeo and juliet consider the best way to respond to nadia. how effective is it to request to push back the deadline for your project? Querida ( Dear ) Jessica: Cmo ests? Yo (1) 1 of 10 (to be) muy bien. Me (2) 2 of 10 (to like) mucho estudiar espaol en Sevilla. Yo (3) 3 of 10 (to study) mucho todos los das. Las clases (4) 4 of 10 (to finish) a las 2 de la tarde. A las 2:30, yo (5) 5 of 10 (to return) a casa. Mi hermano ( brother ), Germn, (6) 6 of 10 (to work) en la universidad. l (7) 7 of 10 (to teach) literatura en la Facultad de Filosofa y Letras. Por las tardes, Germn y yo (8) 8 of 10 (to talk) mucho porque yo necesito practicar espaol. Por las noches, nosotros (9) 9 of 10 (to watch) la televisin. Bueno, y t? Qu tal? Qu da (10) 10 of 10 (to arrive) a Espaa? Adis, Jorge 4 ropani of land was bought for RS,1250000 3yrs ago. if one rpani be sold for Rs.160000 at present.At what percentage is value depreciated?