2) Use the elimination method to solve for x and y.

equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9

solve for y _____
solve for x _____

Answers

Answer 1

Answer:

1: 2x + y = 24

2: x - 3y = 54

Step-by-step explanation:

Answer 2

Answer:

[tex] y = - 3. \\ x = - 13.5[/tex]

Step-by-step explanation:

[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\

equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5

[/tex]


Related Questions

One year ago, a tiger cub was 5 feet shorter than its mother. However, it grew 2 feet, and now its mother is only twice its size. How big was the tiger cub one years ago?

Answers

Answer:

1 foot

Step-by-step explanation:

Since the cub is 1 foot, that means the mother is 6 ft.

Assuming that the mother does not grow and the cub grows 2 feet, a year later the cub is 3 feet and the mother is 6 feet.

3 is half of 6, meaning the mother is twice the cub.

Solve the following problem. A toolbox has 10 screwdrivers and 6 wrenches. Bella puts 8 more wrenches in the toolbox. How many more wrenches are in the toolbox than screwdrivers? » There are more wrenches than screwdrivers. ✓ DONE​

Answers

Answer:

there are 4 more. hope this helps

Answer: 4 more wrenches than screwdrivers.

Step-by-step explanation: 6 + 8 = 14. 14 > 10 by 4.

Translation !! keep getting random people Please only answer if u really know ! Thanks

Answers

Answer:

The direction matters  , but only in sign... so from A to A'  is what i'm guessing is the direction of translation

Step-by-step explanation:

find the vector from A to A'  or any of the other non prime to prime points.. the vector will be the same...  soooo

take the origin point as P1 , then take the destination point a P2

and subtract P2-P1

P2 = A' = (6,-2)

P1 = A = (2, 1)

(6-2, -2-1) = (4,-3)

your vector can be place at the origin.. and go 4 in the x direction and -3 in the y direction and you get that translation.. make sense?

A sewing kit includes a spool that holds 24 yards of thread

How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)

Answers

Answer:

864 inches

Step-by-step explanation:

12*3=36

36*24=864

A sewing kit includes a spool that holds 864 inches of thread.

Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches

Thus, A sewing kit includes a spool that holds 864 inches of thread.

Learn more about measurements here:

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What is the slope of a line parallel to the line whose equation is 9x – 3y = 81. Fully
reduce your answer.

Answers

Answer:

Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:

9x-3y=81

9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)

-3y=81-9x

-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\

y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.

our new equation is y=-27+3x although the proper form is y=mx+b.

all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.

y=-27+3x---> y=3x-27

in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.

Step-by-step explanation:

The Slope of a line parallel to the line whose equation is 9x – 3y = 81 is 3.

What is the Slope of a line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Given that the slope of a line parallel to the line whose equation is

9x – 3y = 81

Reducing the Equation in form of y = mx + c, where m is the slope,

9x - 3y = 81

3y = 9x - 81

y = 3x - 27

Since, two line when parallel have equal slope, so the slope of the given line is 3.

Hence, The Slope of a line parallel to the line whose equation is

9x – 3y = 81 is 3.

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Sean was at batting practice. He swung 25 times but only hit the ball 15 times. Write the simplified ratio for how many times Sean swung the bat compared to how many times he hit the ball.

Answers

Answer:

25:15

Step-by-step explanation:

help me plz thx alot

Answers

It is 180 degrees- hope this helps!

Answer the real-world problem below. Then, decide whether the answer is the GCF or the LCM. A local radio station is celebrating its 10th year on the air and is giving away prizes to callers. It is giving away a $10 bill for every 10th caller. It is also giving away free digital albums to every 8th caller. How many callers will call the radio station until someone wins both a $10 bill and a free digital album?

Answers

Answer:

LCMit will take 80 calls

Step-by-step explanation:

The solution  is  LCM

the least common multiple of 10 and 8 are

10=10,20,30,40,50,60,70,80,90,........

8= 8,16,24,32,40,48,56,64,72,80,88..........

The least common multiple is 80

therefore it will take 80 callers to call in to win both the bills

kindly let me know if you need further clarification on this

Regards

Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a​ 95% confidence interval estimate of the population percentage. Based on the​ result, does it appear that greater height is an advantage for presidential​ candidates? Why or why​ not?

Answers

Complete Question

The data for this question is shown on the first uploaded image

Answer:

The 95% confidence interval estimate of the population percentage is  

   [tex] 33.2\% <  p < 76.8 \% [/tex]

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      [tex]\^ p = \frac{11}{20}[/tex]  

=>   [tex]\^ p = 0.55[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

   [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]

  [tex]E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]

   [tex]E = 0.218[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\r p -E <  p <  \r p +E[/tex]

=>    [tex]0.55-0.218 <  p < 0.55+ 0.218 [/tex]

=>    [tex]0.332 <  p < 0.768 [/tex]

Converting to percentage

        [tex](0.332*100)\% <  p < (0.768 *100) \% [/tex]

=>    [tex] 33.2\% <  p < 76.8 \% [/tex]

2 + 4s >10 aanswer ​

Answers

Answer:

s>2

Step-by-step explanation:

2 + 4s >10

First, subtract 2 on both sides.

2 + 4s >10

-2         -2

4s>8

Divide by 4 on both sides to isolate x.

4s>8

/4  /4

s>2

Hope this helped you out! Have a great day c:

PLEASEEWW HELPPP WILL MARK BRAINLIESTTT
Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU?

A.) Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

B.) Translate GHJ by the directed in segment GS. Translate G’H'J by the directed line segment H'T. Translate G"H"J" by the directed line segment J"T.

C.) Translate GHJ by the directed line segment GS. Rotate G’H'J using S as the center by angle H'ST Reflect G"H"J" over ST.

D.) Translate GHJ by the directed line segment GT. Rotate G’H'J using T as the center by angle H'ST. Reflect G"H"J over ST.

Answers

The answer is A I think

The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.

Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

For more details on Rotation follow the link:

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4(x + 1) – 2 = -6



Help please thx

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

stolz dies by Raza cgm Issa Ask hz

340 equals 72 more than y
Write the sentence as an equation.

Answers

Answer:

y+72=340

Step-by-step explanation:

Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False

Answers

The answer is true because 4 times -1 equals-4. Then -4 minus -12 you would flip the sign to a plus sign and -12 to a positive and -4+12 equals 8.

HELP WILL MARK BRAINLIEST

Answers

the answer is Graph D!

Answer: d

brainliest plz

Ricardo can type 39 words per minute. Estimate the number of words he can type in 18 minutes. 400 or 600 or 300 or 800

Answers

Answer:

800

Step-by-step explanation:

ROund 39 to 40 and 18 to 20.

This results in 40 x 20=800.

600 words per minute my guys

Help the picture is above I’ll mark you as brainliest please show the work too.

Answers

Answer: what are you doing stepbro

Step-by-step explanation: i like doggos :)

PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles

Answers

Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

True or false don’t lie

Answers

Answer:

t

Step-by-step explanation:

falseeeeeeeeeeeeeeeeeeeeee

Solve the system of equations. y=4x+5 and y=3x-2, what's the solution​

Answers

Answer:

x = -7 y=-23

Step-by-step explanation:

Choose the answer that has correct common multiples of 4 and 6: 1, 2 12, 24, 36 2, 4, 12 6, 12, 24

Answers

It would be 1, 2, 12, 24, and 36

That is because
4 ,8 ,12 ,16 ,24, 28, 32, 36
6, 12, 18, 24, 30, 36
6x1
4x1

I hope that helps or makes sense. I’m sorry if you get that wrong

Answer:

The common multiples would be 1, 2, 12, 24, and 36.

Step-by-step explanation:

1 goes both into 4 and 6.

2 goes into 4 and 6.

6x4=24/2=12, therefore 12 is a multiple of 6 and 4

21 is a common multiple because 6x4=4.

Hope I could help!

3(2x + 7) - 2 (x + 5)

Answers

6x+21-2(x+5)
6x+21-2x-10
4x+21-10
Answer:4x+11

5(n-3)????????????!!!!!!!!

Answers

Answer:

5n-15

Step-by-step explanation:

[tex]5(n-3)[/tex]

Expand

[tex]5\times n = 5n\\\\5\times -3 =-15\\\\5n -15[/tex]

What is 6.92 x 10-3 written in standard form?

Answers

Answer:

6.92000

Step-by-step explanation:

because it has to be between q and 10

A line contains the points (-26, -37) and (-32, -61). What is the slope of the line in simplified form? -3 −14 14 3

Answers

M=4
Pls mark me brainliest

its like a word question?
The product of negative three and a number is equal to the sum of the number and four.

Answers

Answer:

-3+x=x+4

Step-by-step explanation:

Pls Mark Brainliest

Answer:

x = -1

Step-by-step explanation:

-3×x = 4+x

-3x-x = 4

-4x = 4

x = 4 ÷ -4

x = -1

2 is divided by the diference of a number and 7.

Answers

Answer:

2 divided by (x-7)

Step-by-step explanation:

55.6666666667 as a fraction

Answers

Answer: Step-by-step explanation:

What is 5.56666666667 as a fraction?

To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000

And finally we have:

5.56666666667 as a fraction equals 556666666667/100000000000

Find the diameter of a circle whose circumference is 74cm

Answers

Answer:

≈ 24 cm

Step-by-step explanation:

Hi there !

c = 2πr  } => c = πd => d = c/π

2r = d

replace c ; π

π  =3.14

d = 74cm/3.14

= 23.5668

≈ 24 cm

Good luck !

the model shows the expression of 30+12 whitch expression is equivelent to this sum

Answers

40+2 is a answer to your problem

Answer:

6+5]4

Step-by-step explanation:

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