Please solve this system of equations.
5x-2y=9
12x-8y=4

Answers

Answer 1

Answer:

(4,11/2)

Step-by-step explanation:

5x-2y=9

12x-8y=4

A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.

4(5x-2y=9)

Now we need to decide if we should add or subtract the equations.

20x-8y=36

12x-8y=4

Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.

20x-8y=36

-12x-8y=4

----------------

8x=32

Divide both sides by 8 to get the x-value:

[tex]\frac{8x}{8} = \frac{32}{8}[/tex]

x=4

Now that we have our x-value, we need to plug in the y-value.

5x-2y=9

5(4)-2y=9

20-2y=9

-2y=-11

y=11/2

So our solution is (4,11/2)

Let's check our work.

5x-2y=9

5(4)-2(11/2)=9

20-22/2=9

20-11=9

9=9

12x-8y=4

12(4)-8(11/2)=4

48-88/2=4

48-44=4

4=4

Our solution is correct.

Answer 2

Answer:

x=4,y=11/2

Step-by-step explanation:

5x−2y=9

12x−8y=4

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x−2y=9,12x−8y=4

To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.

12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4

Simplify.

60x−24y=108,60x−40y=20

Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.

60x−60x−24y+40y=108−20

Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.

−24y+40y=108−20

Add −24y to 40y.

16y=108−20

Add 108 to −20.

16y=88

Divide both sides by 16.

y=11/2

Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.

12x−8x11/2=4

Multiply −8 times 11/2.

12x−44=4

Add 44 to both sides of the equation.

12x=48

Divide both sides by 12.

x=4

The system is now solved.

x=4,y=11/2


Related Questions

FAVORITE HAIKYUU SHIP GO!!

Answers

Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

I don’t know what that is

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fill the tank? (1 gallon = 231 in.3)

Answers

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

3. What is the probability that when a fair coin is flipped 20 times, there will be exactly five tails?​

Answers

Answer: Probability of getting  

17

tails from  

20

tosses is  

285

262144

=

0.0010872

Step-by-step explanation:

When a coin is tossed there are two possibilities.- it is either a head or tail and probability of getting either head or tail is  

1

2

.

I don’t know what the answer for this

Answers

Answer:

isoceles and right

Step-by-step explanation:

Answer:

I think the answer us B........

recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies

Answers

Answer:

just multiply by 9 :)

Step-by-step explanation:

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Answers

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

What is the answer please help no links

Answers

Answer:

The answer is 432

Step-by-step explanation:

Multiply

PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW ITS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

How many days will it take for the water to be 4m high?

Step-by-step explanation:

use the missing variable.

Simplify Help me please with this question!!!!!

Answers

F/3= -115 hope this helps bro

A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Answers

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Learn more about the random sample here;

https://brainly.com/question/17831271

help me u get brainliest plus more points :D

Answers

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

I need a step by step example of how to get the answer if you don't mind.

Answers

Answer:

D

Step-by-step explanation:

This equation may look hard, but all of the steps are in the question, so all we need to do now is plug in the numbers!

The question asks us to round all numbers to the nearest whole number before plugging them in, so we'll round 11.3 down to 11.

Now, we just need to plug in 11 to the equation to ger A=11²pi

11 squared is 121, so now we just need to multiply 121 by pi.

Pi is a long number, but again, the equation asks us to round to the nearest whole number, so since pi is 3.143, we can round that to three.

Now all we need to do is multiply 121 by 3 to get 363!

I hope this helps.

I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? I will delete the right answers.

Answers

Answer:400

Step-by-step explanation:

you have a coupon for $4 off the price of any large pizza . you also get a 20% discount on any pizza if you show your student ID. How much would you pay for a large pizza if the cashier applies the coupon first?

Answers

Answer:

You would pay 80% of the cost of a large pizza. So if the pizza was $10 you would pay $8 getting $2 off.

Step-by-step explanation:

Solve for x. Show your work:

2x+17+3x = 4x+3x+3​

Answers

Answer:

The answer is 7

Step-by-step explanation:

2x+17+3x=4x+3x+3

5x+17=7x+3

5x-7x=3-17

-2x=-14

x=7

Find the distance between the pair of points.
(-4,3) and (-8,3)
The distance between the pair of points is
units.

Answers

Answer:

4 units

Step-by-step explanation:

Use the distance formula

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points

d = [tex]\sqrt{(-4 - (-8))^2 + (3 - 3)^2}[/tex]

d = [tex]\sqrt{(4)^2 + (0)^2}[/tex]

d = [tex]\sqrt{16}[/tex]

d = 4

So, the distance between the pair of points is 4 units

Answer:

4 units

Step-by-step explanation:

[tex]\large{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]

The formula above is the formula of distance between two points.

Substitute the ordered pairs in.

[tex] \large{ \sqrt{ {( - 4 + 8)}^{2} + {(3 - 3)}^{2} } } \\ \large{ \sqrt{ {4}^{2} + 0 } } = \sqrt{16} = 4[/tex]

Therefore, the distance between two points is 4 units.

ANSWER ASAP! ALL SCAM LINKS WILL BE REPORTED.

Answers

Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

30 POINT FOR BRAINLIEST ANSWER!!!!!​

Answers

Answer:

[tex]H)39.6[/tex]

Step-by-step explanation:

To get the mean, you have to add all the numbers, then divide the sum by the amount of individual numbers there are.

In this problem, we see that there are 5 different numbers. If we add all those numbers together, they will equal 198.

[tex]198[/tex] ÷ [tex]5 = 39.6[/tex]

What is the area of this figure? I give brainliest and thanks :)

Answers

Answer:

591 square cm

Step-by-step explanation:

25 times 23 =575

4 times 4 =16

575 plus 16=591

Answer:

591

Step-by-step explanation:

23x25=575+(4x4)=591

HELP PLSSSS
8^2 b - 3 when b = 3

Answers

Answer:

0

Step-by-step explanation:

If b is 3 then the quiz can be rewritten as

8²3-3

8²0

64×0=0

Well it's just a trial

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)

Answers

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

[tex]S_{a} = \pi d^2[/tex]

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 3 cm2/min

This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So

[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]

[tex]\frac{dd}{dt} = -0.053[/tex]

The diameter decreases at a rate of 0.053 cm/min.

sec (x) = -2.3. If x and y are complementary, what is csc (y)?

Answers

Answer:

eat my cog

Step-by-step

anyone know the answer

Answers

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)

Answers

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

The following is a data set of five quiz scores.



92, 88, 90, 96, 84



What is the mean absolute deviation of the scores?

Answers

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation:

Order the angle measures from least to greatest

please help

Answers

Answer:

Least = m<H

Middle = m<J

Greatest = m<I

Step-by-step explanation:

The angle opposite the shortest side would have the shortest angle.  The side opposite the greatest side would have the greatest angle.

Least = m<H

Middle = m<J

Greatest = m<I

Select ALL TRUE statements about Linear Functions:
Group of answer choices

The degree of the function is one.

The y values change by a common difference.

The graph is a straight line.

Vertex form is used for graphing.

Answers

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

A) 9)___ + 7) = 18 + 63 B) ___(12 + 9) + 36 + 27 C) 8(___+7) = 24 + 56 D) ___(5 + 8) + 20 +32

Answers

Answer:

A) 9(2+7)

B) 3(12+9

C) 8(3+7)

D)4(5+8)

Step-by-step explanation:

A)

9*(x+7) = 18+63

9*(x+7) = 81

81/9 = x+7

9 = x+7

x = 2

B)

x*(12+9) = 36+27

x*(12+9) = 63

x*21 = 63

x = 63/21

x = 3

C)

8*(x+7) = 24+56

8*(x+7) = 80

x+7 = 80/8

x+7 = 10

x = 3

D)

x*(5+8) = 20+32

x*13 = 52

x = 52/13

x = 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Using compatible numbers, which is the best estimate of (28.5)(7.1)?
36
40
210
300

Answers

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

Answer:

210

Step-by-step explanation:

HELP. What is the value of y in the equation 2(2y - 12) = 0? (5 points)
1) 4
12 6
3
3) 7
4) 8

Answers

Answer:

6

Step-by-step explanation:

2(2y - 12) = 0

distribute the 2

2·2y - 2·12 = 0

4y - 24 = 0

add 24 to both sides

4y - 24 + 24 = 0 + 24

4y = 24

divide both sides by 4

(4y)/4 = 24/4

y = 6

Other Questions
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The adjustment for depreciation made last year at the end of 2020. 2. The two expenditures for repairs and maintenance during January 2021. Provide arguments why should policymakers use fiscal and monetary instruments to control aggregate demand and stabilize the economy. If so, when? If not, why not? Explain the three reasons the AD curve slopes downward. Give an example of an event that would shift the AD curve. Which way would this event shift the curve? Answer all parts (a) to (e) of this question.If a firm produces quantities qu and q2 of two goods, its total cost is:C = q1 + q1^2 +q2^2 - aq1q2The goods are sold in competitive markets at prices p1 > 1 and p2.(a) [10 marks] Write down an expression for the profit of the firm. 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O d. to receive a salary. If last years NFO is $103116, the current years free cash flow is $65577, current years net financial income is $12650 and current years net dividends are $16560, what is the current years NFO? A new observed data point is included in set of bi-variate data. You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61.This new data point is probably a (an):A.predicted (y) value.B.influential point.C.outlier.D.extrapolation.E.residual. Project S has an initial cost of $10,000 and produces annual cash flows of $3,000 for five years. Project L has an initial cost of $25,000 and generates annual cash flows of $7,000 for five years. The two projects are mutually exclusive. What is the cross-over rate for these two projects?a. 16.25%b. 15.25%c. 14.25%d. 10.42%e. The crossover rate does not exist for these two projects