Johanna wrote the system of equations. 4 x - 3 y = 1, 5 x + 4 y = 9. If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?

Answers

Answer 1

Answer:

The first equation must be multiplied by -5 to eliminate x variable by addition

Step-by-step explanation:

4 x - 3 y = 1 (1)

5 x + 4 y = 9 (2)

If the second equation is multiplied by 4

5x+4y=9. ×4

We have,

20x+16y=36 (3)

The first equation should be multiplied by -5 to eliminate x variable by addition

4x-3y=1 × -5

We have

-20x+15y=-5 (4)

Add equation (3) and (4) to eliminate x variable

20x+16y=36

-20x+15y=-5

31y=31

Divide both sides by 31

y=1

Substitute y=1 into equation (1)

4 x - 3 y = 1

4x-3(1)=1

4x-3=1

4x=1+3

4x=4

Divide both sides by 4

x=1

Answer 2

Answer:

To eliminate x

We multiply Equation 1 by -5

The results are

X = 1

Y= 1

Step-by-step explanation:

4 x - 3 y = 1. .............Equation 1

5 x + 4 y = 9........... Equation 2

If equation 2 is multiplied by 4

4*(5x + 4y = 9)

20x + 16y = 36...... Equation 3

To eliminate x

We multiply Equation 1 by -5

-5*(4 x - 3 y = 1. )

-20x +15y = -5 ..... Equation 4

So we add Equation 3 and Equation 4

31y = 31

Y = 1

Substitute y into Equation 1

4x = 4

X = 1


Related Questions

Evaluate 7 r − 15 s 7r− s 15 ​ 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.

Answers

Answer: 18

Step-by-step explanation:

Evaluate 7 r − 15 /s

Given that r = 3 and s = 5

7r - 15/s

Substitute 3 for r and 5 for s in the above expression

7(3) - 15/5

= 21 - 3

= 18

Answer:

18

Step-by-step explanation:

May someone help me solve
g(x)=8x^2-10x-3 and find the x intercepts

Answers

X intercepts:

(-1/4,0),(3/2,0)

N/A
N/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/AN/A

Answers

Answer:

why is there an N not paired up with A at the beginning, and an A without an N at the end? oh my gosh dude pair them up theyre lonely

Step-by-step explanation:

Help pleaseeeeeee

find the code for section 8

need help now pleaseeeee

Answers

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

does anyone know the answer to this please ?

Answers

Answer:

I think it's the first one.

Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.

Answers

Answer:

4r^2 - 36 s^2

Step-by-step explanation:

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.

Answers

Answer:

9

Step-by-step explanation:

What is the value of y?

Answers

Answer:

Step-by-step explanation:

A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.

The legs (sides that form the 90 degree angle) are both equal.

The hypotenuse is the leg multiplied by the square root of 2.

[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]

So [tex]x=24\sqrt{2} \approx 33.9[/tex]

Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34

Answers

Answer:

22

Step-by-step explanation:

it is epuivalet

The correct answer is 22

I need help with this question please
Write an equation and solve. One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

Answers

Answer:

200 minutes

Step-by-step explanation:

16.95 + 0.05 x = 22.95 + 0.02 x

0.05 x - 0.02 x = 22.95 - 16.95

0.03 x = 6.00

x = 6.00 / 0.03 = 600 / 3 = 200

Answer:

200 minutes

Step-by-step explanation:

First you need to make two equations for the rates of each telephone company

The first equation will be y = 0.05x +16.95 and the second equation will be

y = 0.02x + 22.95

Then you need to set the two equations equal to each other in order to find where the number of minutes of local calls per month is the same

is 5/2 irrational or rational

Answers

5/2 is a rational because this can be expressed as a ratio or fraction. 5/2 in ratio can be written as 2.5

4688-3) -30X-5 CX-5)

Answers

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

Answer:

x ≈ 4.3

Step-by-step explanation:

Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:

4(8x - 3) - 30x = 5(x - 5)

32x - 12 - 30x = 5x - 25

Add like terms (32x and -30x), like so:

32x - 30x = 2x

2x - 12 = 5x - 25

Subtract 2x from both sides:

2x - 12 = 5x - 25

-2x         -2x

____________

-12 = 3x - 25

Add 25 to both sides:

-12 = 3x - 25

+ 25       + 25

____________

13 = 3x

Divide both sides by 3:

4.3 ≈ x

what is the value of x in the equation 4x - 5 = -33

Answers

Answer: [tex]x=-7[/tex]

Step-by-step explanation:

[tex]4x-5 =-33[/tex]

ad 5 to both sides

[tex]4x=-28[/tex]

divide both sides by 4

[tex]x=-7[/tex]

plug in x to double check

[tex]4(-7)-5=-33\\-28-5=-33\\-33=-33[/tex]

hope this helps :3

HELPPPP PLEASE ! GET POINTS AND BRAINLIEST!

Answers

Answer:

1. segment RT

2. segment QS

3. segment PS

4. < QTR

5. arc QR

6. arc QSR

7. arc QS

These are all by definition.

Radius: distance from the center of a circle to a point on the circle

Diameter: a chord that goes through the center

Chord: any segment whose endpoints are on the circle

Central Angle: an angle at the center of the circle with endpoints on the circle

Minor Arc: arc that is less than 180 degrees

Major Arc: arc that is greater than 180 degrees

Semicircle: Arc of 180 degrees

Sloane needs 2/3 hour to drive to her grandmother's house. It takes her 4 times as long to drive to her cousin's house. How long does it take to drive to her cousin's house? It takes ____ hours to drive to her cousin's house.

Answers

Answer:

8/3 hours

Step-by-step explanation:

Sloane drives for 2/3 hours to get grandmother's house

Inorder to arrive at her cousin's house she is required to drive 4 times longer

= 2/3 ×4

= 8/3 hours

Thus, Sloanne needs to drive for 8/3 hours inorder to reach her cousin's house.

Find the area of a circle with a circumference of 6.28 units.

Answers

Answer:

3.14

Step-by-step explanation:

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

What is an area circle?

The area of a circle is given by the pie times square of the radius.

Area of circle = πr²

Here,
circumference of a circle is 6.28 units.

circumference = 6.28
2 × π × r = 6.28
r  = 1

Now,

Area of the circle = πr²
Area of the circle = 3.14 × 1²

Area of the circle = 1 square unit

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

Learn more about circle here:

brainly.com/question/11833983

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The partial pressure of carbon dioxide in a mixture is 0.31 atm.

If the mole fraction of the carbon dioxide is 0.46, what is the

total pressure of the mixture?

Answers

Answer:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

Step-by-step explanation:

For this case the partial presure of carbon dioxide is given by:

[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]

Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:

[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]

And replacing we got:

[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]

X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation ​above as the equation of a circle in standard form , and identify the ​center and radius . ​ ​The center is at the point ( , ​ ) ​ The radius is

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Correct question:

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. ³/₄ of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answer:

The quantity of white paint she used to paint her bedroom walls is 1.6 pints

Step-by-step explanation:

Given;

total quantity of  blue paint and white paint used by Joanie = 6.4 pints

she uses ³/₄ of the total quantity of the paints as blue

the remaining fraction as white paint = 1 -  ³/₄ = ¹/₄

The fraction of the total quantity of paints that is white paint = ¹/₄

And,

The quantity of white paint she used to paint her bedroom walls = ¹/₄  x 6.4 pints = 1.6 pints

Then, quantity of blue paint she used = ³/₄ x 6.4 = 4.8 pints

Check:

blue paint + white pain = total

4.8 + 1.6 = 6.4 pints

Therefore, the quantity of white paint she used to paint her bedroom walls is 1.6 pints

The difference of a number and 8 is no more then 13

Answers

x - 8 = </= 13

x could be from 9 to 21

Which of the following describe the growth rate of the exponential function in the graph below?

Answers

Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol

A spinner is divided into 4 sections using the
colors red, orange, yellow, and green. After
50 trials, the spinner landed on red 10 times,
on orange 16 times, on yellow 6 times, and
on green 18 times. What would you estimate
as the probability of the spinner not landing
on yellow?​

Answers

Answer:

0.88

Step-by-step explanation:

Given:

A spinner is divided into 4 sections using the  colours: red, orange, yellow, and green. After  50 trials, the spinner landed on red 10 times,  on orange 16 times, on yellow 6 times, and  on green 18 times.

To find: probability of the spinner not landing  on yellow

Solution:

Probability is the chance of occurrence of some event.

Total number of outcomes = 50

Number of favourable outcomes = 50 - 6 = 44

Probability of the spinner not landing  on yellow = Number of favourable outcomes / Total number of outcomes = [tex]\frac{44}{50}=\frac{22}{25}=0.88[/tex]

Answer:

The answer is 0.88 Hope this helps any T4L students!

Find the area of the shape shown below.
12
4

Answers

The answer to this question is 32

Answer:

32

Step-by-step explanation:

A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% with a standard deviation of 5%. Use the calculator to show what percentage of students scored between a 73 and 78 (C grade).

Answers

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A. 80°
o
o
120-
B. 30°
C. 120
O O
D. 60°
SUEM MES
< PREVIOUS

Answers

Answer: The correct answer is D!!! 60

Step-by-step explanation:

The measure of the value of x from the given quadrilateral is 81 degrees.

Circle geometry

From the given diagram, the quadrilateral is inscribed in the circle.

USing the theorem; "the sum of opposite angle of a quadrilateral is 180degrees, hence;

x + 98 = 180

Subtract 98 from both sides

x + 98 - 98 = 180 -98

x = 180 - 98

x = 81 degrees

Hence the measure of the value of x from the given quadrilateral is 81 degrees.

Learn more on geometry here: https://brainly.com/question/20303542

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Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

Answer: The answer is letter C

Step-by-step explanation:

answer the question in the attached picture please

Answers

Answer:

Option 1 is correct

5.345345... = 5340/999

Hope this helps!

:)

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

3(x + 4) = 3x + 12 solve for x

Answers

Answer:

all real numbers.

Step-by-step explanation:

First, distribute 3 to all terms within the parenthesis:

3(x + 4) = 3(x) + 3(4) = 3x + 12

3x + 12 = 3x + 12

Because both sides are the same, your answer for x is "all real numbers".

~

A right triangle has side lengths of a, b, and cunits. The longest side has a length
of c units. Complete each equation to show three relations among a, b, and c.
a. c² =
b. a^2=
c. 6² =

Answers

Answer:

[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

Step-by-step explanation:

Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.

It is given a right angled triangle with sides a, b and c.  

And c is the longest side.

So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.

No condition is given about the base and height.

So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.

We know that, pythagoras' theorem holds true in every right angled triangle.

According to pythagoras' theorem:

[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]

So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]

Using equation(1):

Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]

Also,  

Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]

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