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

40% of 250 is equal to 60% of what number

Answers

Answer:

24

Step-by-step explanation:

250% × ? = 60

? =

60 ÷ 250% =

60 ÷ (250 ÷ 100) =

(100 × 60) ÷ 250 =

6,000 ÷ 250 =

24

The variables y and x have a proportional relationship, and y = 25 when x = 60.


What is the value of x when y = 30?

A. x = 25
B. x = 36
C. x = 50
D. X= 72

Answers

Answer:

A

Step-by-step explanation:

A. x = 25

it’s A. x = 25. :) i hope this helped !!

out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many students are in neither club?how many are in either club? show the venn diagram​

Answers

Answer:

Step-by-step explanation:

Total student=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

Awnser is 22

It will be nice if you give me brainliest. Good luck!

ANSWER TO GET BRAINLIEST!!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.

Answers

No he cannot it would be 425 minutes

what is 1325864 in expanded form​

Answers

Answer:

1,000,000 + 300,000 + 20,000  + 5,000 + 800  + 60 + 4  

Step-by-step explanation:

Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.

Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000

Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.

Answers

Answer:

There is a significant relation between weight and price

Step-by-step explanation:

              Brand Weight(x)          Price ($) (y)

A                  17.8                        2100

B                   16.1                        6,250

C                   14.9                        8,370

D                   15.9                        6,200

E                   17.2                        4,000

F                   13.1                         8,500

G                   16.2                        6,000

H                   17.1                         2,580

I                   17.6                          3,500

J                   14.1                         8,000

Null Hypothesis : [tex]H_0: \mu =0[/tex]

Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]

Given : SST=51956800 SSE= 7312286.84 n = 10

SSR = SST-SSE

SSR=51956800-7312286.84

SSR=44644513.16

Level of significance =[tex]\alpha = 0.05[/tex]

[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]

Where m = no. of restrictions

k = No. of independent variables

[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]

F=48.843

Degree of freedom 1 = 1

Degree of freedom 2 = 10-2=8

Using calculator

p-value is .000114.

p value < α

So, we reject the null hypothesis .

Hence There is a significant relation between weight and price

You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?

Answers

Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

Imagine that two researchers, Bill and Ted, independently carry out clinical trials to test the same null hypothesis: H0: COX-2 selective inhibitors (used to treat arthritis) have no effect on the risk of cardiac arrest. They use the same population for their study, but Bill uses a sample size of 60 randomly selected subjects and Ted uses a sample size of 100 randomly selected subjects. Assuming all other aspects of their studies are the same, answer the following:

Required:
a. Whose study has the higher probability of a Type-II error?
b. Whose study has higher power?
c. Whose study has the higher probability of a Type-I error?
d. Should their alternative hypotheses be one-sided or two-sided? Explain
e. Suppose Bill’s analysis results in p-value = 0.03. What should be his conclusion?

Answers

Answer:

A) The 60-subject study will have the higher probability of a Type-II error.

B) 100-subject study will have higher power.

C) they will have the same probability of a Type-I error

D) Two tailed because either of the two results would be of interest

E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.

Step-by-step explanation:

A) A type II error is an error that occurs when we accept the null hypothesis even though it is actually false.

Now, Smaller sample sizes usually would have a lesser chance of rejecting the null hypothesis even though it's false. Thus, the 60-subject study will have the higher probability of a Type-II error.

B) power = 1 - Pr(Type II error)

Since the 60-subject study has a higher probability of type II error it means it will have lesser power. Thus, 100-subject study will have higher power.

C) Type I error is when we incorrectly reject a true null hypothesis.

Pr(Type I error) = significance level

Now, since we are told that other aspects of their study are the same it means their significance levels are the same, it means they will have the same probability of a Type-I error

D) It should be two tailed because either of the two results would be of interest. It's either the drug was associated with more cardiac arrests or less potential treatment option.

E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.

Angles of a triangle are in the ratio 2:4:3the smallest angle of the triangle is ​

Answers

Angle A, 2

2 is the smallest out of 2:4:3

hope this helps :)

What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5

Answers

Answer:15

Step-by-step explanation:

Can someone please help, ty!!

Answers

I presume it is A although I am not sure...

Answer:

B i think

Step-by-step explanation:

joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?

Answers

Convert 3 1/2 to a improper fraction:

3 1/2 = 7/2

Divide 7/2 by 1/4:

7/2 ÷ 1/4

7/2 × 4/1

28 / 2

= 14

Joaquin has finished 14 assignments

Answer:

14

Step-by-step explanation:

number 2 please thank you!!

Answers

Answer:

the inverse of a function takes the output of the actual function as the input and gives the input of the initial function as the output

here, we are given that when we input 23 in the inverse function of 'f', we get 3

this means that if we input 3 in the initial function, we will get 23 as the output

f(x) = x² - ax + 8

changing the input value to 3

f(3) = (3)² - 3a + 8

changing the output value to 23

23 = 9 - 3a + 8

3a = 17 - 23

3a = -6

a = -2

What is 8/23/25 as decimal

Answers

9514 1404 393

Answer:

  0.01_3913043478260869565217...

Step-by-step explanation:

The value of 8/23/25 is a repeating decimal with a repeat of 22 digits.

  [tex]\dfrac{8}{23}\div25=0.01\overline{3913043478260869565217}[/tex]

Toby gets 78 votes which is 52 percent how many voted in Tobys grade

Answers

Answer:

52% = 0.52

78/0.52 =150

150 students voted

Answer:

150

Step-by-step explanation:

When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes.  you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.

What is the domain of the following relation?


a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain

Answers

The answer is a, because I need more

Anybody Know This. ?

Answers

Answer second option

Step-by-step explanation:

Answer:

the 2nd

Step-by-step explanation:

one is the one and only

3. Evaluate the expression 18
7+2 - 4
a. 2
b. 1.4
c. 6
d. 18

Answers

The correct answer is A

I NEED HELP PLS HELP MEEE​

Answers

the answer for this problem is t=-6.957

1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.


• Which equation can be used to find the price, x, of one sandwich?

5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50

Answers

Answer:

5x - 2 = 50

Step-by-step explanation:

The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.

Answer:

5x - 2 = 50

I READY!!!

holpe it help

Pls give me a real awnser this is a chart so the question is the pic

Answers

Answer:

The answer is in the attachment!

Step-by-step explanation:

The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.

Answers

Answer:

5,000,000,000 (see below)

Step-by-step explanation:

Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.

For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.

Integers also include 0.

Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.

All whole numbers are integers.

So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.

[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.

5 × 1,000,000,000 = 5,000,000,000

5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.

Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?


A) Multiply each side by 3/2.

B) Multiply each side by −3/2.

C) Multiply each side by −2/3.

D) Add 2/3x to each side.


Solve the equation.

A) x = 10

B) x = 6

C) x = −10

D) x = −12

Answers

Solve for x by simplifying both sides of the equation, then isolating the variable. Answer x = −12


I need help I currently have a c trying to make up some work

Answers

Answer:

y=(-2)

Step-by-step explanation:

x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number

Answers

Answer: the equation would be x-6 = 5(x+2) and x= 0.666666666666667

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?​

Answers

Answer:

they are 4 meters apart from each other i think im not so sure

They’re 4 meters apart. You would subtract 10 from 6 to get 4.

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

I don’t see a picture:(

Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.

Which is the greater volume: a six-pack or 2 liters?

A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?

Answers

Answer:

List some of the given data:

1 L = 33.8 oz.

A) Which one has more volume?

In a six-pack, each can has 12 oz.

Then in total, this is:

6*12oz = 72oz.

In one liter we have 33.8 oz.

Then in two liters, we have two times that:

2L = 2*33.8 oz = 67.7 oz.

Then the sixpack has more volume.

B) Which one has more value?

Here we must divide the volume by the price:

Six-pack:

Volume  = 72 oz.

Price = $1.37

Ratio = 72oz/$1.37 = 52.55 oz/$.

2L bottle:

Volume = 67.7 oz

Price = $1.31

Ratio = 67.7oz/$1.31 = 51.68 oz/$.

You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.

A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.

A scale factor of 2 could be used to get the final rectangle.

The answer is 2 I’m pretty sure

Solve for x 10x+1=8x+25

Answers

Answer:

x=12

Step-by-step explanation:

(10(12)=8(12)+25)=(120+1=96+25)=(121=121)

Collect the like terms
10x-8x
2x=25-1
Subtract the other numbers
25-1=24
Divide both sides by 2
X=12
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