Evaluate the simultaneous equations 2x + 4y = 13; x + y = 4 by using the Elimination
Method.

Answers

Answer 1

Answer:

Look below

Step-by-step explanation:

[tex]A. 2x + 4y = 13 \\ B.x + y = 4[/tex]

Either remove the x or y

Lets do X first

In order to remove the 2 from eqaution A, we need to make the coefficient be the same for the x in the equation B.

We can multiply eqaution B by 2 in order to have the same x coefficient as eqaution A. In addition, we must make the 2 a negative (-2) in order to remove x.

[tex]-2(x + y = 4)[/tex]

Now that we have the Xs ready for the elimination, we can proceed to answer for y

[tex]2x + 4y = 13 + (-2x -2y = -8) \\\\2x - 2x = 0 \\4y - 2y = 2y \\13 - 8 = 5 \\\\2y = 5[/tex]

Now solve for y

[tex]y = 2.5[/tex]

Now plug in 2.5 for either equation to find x ( in this case, B to make my life easier)

[tex]x + 2.5 = 4\\x = 1.5[/tex]

Which in order to trust the other equation ( for some people to trust the answer for X -_-)

[tex]2x + 4(2.5) = 13\\2x + 10 = 13\\2x = 3\\x = 1.5[/tex]

And from there, we conclude that x = 1.5 and y = 2.5

Now, we can get the same result if we eliminated y instead of x

(also this is copy and pasted from x because I am too lazy, get use to it)

In order to remove the 4 from eqaution A, we need to make the coefficient be the same for the y in the equation B.

We can multiply eqaution B by 4 in order to have the same x coefficient as eqaution A. In addition, we must make the 4 a negative (-4) in order to remove x.

[tex]-4(x + y = 4)[/tex]

Now that we have the Ys ready for the elimination, we can proceed to answer for x

[tex]2x + 4y = 13 + (-4x -4y = -16) \\\\2x - 4x = -2x \\4y - 4y = 0y \\13 - 16 = 5 \\\\-2x = -3[/tex]

Now solve for x

[tex]\\x = 1.5[/tex]

Afterward, we are then able to do the same thing to find Y as we did previously in the previous section

Was this worth my time? No

Was it worth it? Yes

Why? I did this instead of a buddy's speech, so lol its funny to me lol


Related Questions

0.08 times what equals $1.20​

Answers

Bbbbbbbbbvvvvbhhghhhhhhhhhhj

Answer:

15

Step-by-step explanation:

1.20 divided by 0.08 is 15

0.08 x 15= 1.20

2(6x+3) hurry please thanks

Answers

Answer:

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Step-by-step explanation:

btw the answer is

(12x+6)

plz help me answer this.​

Answers

b is the answer bc it the only one that makes sense

Graph x > -5 on a number line.

Answers

Answer:

yes

Step-by-step explanation:

that is correct unless your asking something else?

Please help i have a zero on this i need to get 100

Answers

Answer:

The answer is D  :)

Step-by-step explanation:

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees. Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.)
P(0) =
P(1) =
P(2) =
P(3) =
P(4) =
What is the expected number of parolees in Alice's group who will not be repeat offenders? What is the standard deviation?

Answers

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:

Quadrilateral A'B'C'D'is the image of quadrilateral ABCD under a rotation of about point Q.
Determine the angle of rotation

a. -90
b. -60
c. 60
d. 90​

Answers

9514 1404 393

Answer:

  a.  -90°

Step-by-step explanation:

Point A is straight west of Q.

Point A' is straight north of Q. This represents a rotation of 90° clockwise, or -90°. (Positive angles are counterclockwise.)


Help with MATH please

Answers

Answer:

Step-by-step explanation:

4). By applying cosine rule for angle R,

    cos(∠R) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

    cos(33°) = [tex]\frac{x}{19}[/tex] [Equation]

    x = 19cos(33°)

       = 8.39

5). By applying sine rule,

    cos(20°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    cos(20°) = [tex]\frac{15}{x}[/tex] [Equation]

    x = [tex]\frac{15}{\text{cos}20}[/tex]

    x = 15.96

6). By applying tangent rule,

    tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(40°) = [tex]\frac{15}{x}[/tex] [Equation]

     x = [tex]\frac{15}{\text{tan}40}[/tex]

     x = 17.88

Can answer these questions

Answers

You need a protractor

There are 250 tables total in a cafeteria. There are 150 tables with red tablecloths and 100 tables with white tablecloths. As people walk into the cafeteria they are randomly assigned to a table. What is the probability of the first person through the door of being sat at a table with a red tablecloth? SIMPLIFY

Answers

Answer:

60%

Step-by-step explanation:

If there are 250 tables you can multiply it by 4 to work with 1000. This means you have to multiply the other table cloth numbers. 150 x 4 = 600. 100 x 4 = 400. Once you simplify you can get 40 white and 60 red out of 100.  60/100 = 60%.

PLSS HELPPPP!!!
Which expressions represent the total area of the large rectangle? Select all that apply.

Answers

Answer:

A, C, and E

Step-by-step explanation:

PLEASE HELP 20 POINTS! Hunter and his children went into a movie theater and will buy bags of popcorn and
drinks. Each bag of popcorn costs $5.50 and each drink costs $6. Hunter has a total
of $80 to spend on bags of popcorn and drinks. Write an inequality that would
represent the possible values for the number of bags of popcorn purchased, b, and the
number of drinks purchased, d. Write in an inequality.

Answers

I need the answer because i need to ask a question sry!

Based on the density graph below, what is the probability of a value in the
sample space being anywhere from 20 to 25?

A 20%
B. 80%
C. 409
D. 60%

Answers

Answer:

60

uduududixkxjxxxisisidgshedhi

Answer:

20%

Step-by-step explanation:

took the quiz

What is the number of b? 50b = 7,300

Answers

Answer: 146

Step-by-step explanation: Divide 7300 by 50

Answer:

b = 1460

Step-by-step explanation:

50b = 7,300

the steps are easy and simple- Divide 50 on each side

50b/50 = 7300/50

this will isolate b and give it's answer

b = 1460

what is the measurement of abd

Answers

Answer:

it is 23. always remember it's supposed to add up to 180. So add up all your numbers and subtract the total from 180 to get your answer

Answer:

113 degrees

Step-by-step explanation:

ABF= 39 degrees

ABE= 51 degrees

ABD= 23 degrees (BE is a right angle, which is 90 degrees, 90-67=23

39+51+23= 113

Hope this helps!

W.8
w 11
a Write a polynomial that represents the area of the lawn.
b. Write a polynomal that represents the perimeter of the lawn

Answers

Answer:

.

Step-by-step explanation:

4+5[tex]4+5\frac{x}{y} 3x^{2} - 3x^{2}[/tex]

Answers

DONT TRUST LINKS ! They not even helping you

Answer:

[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]

Step-by-step explanation:

1) Use this rule: a/b × c/d = ac/bd.

[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]

2) Take out the constants.

[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]

3) Simplify 5 × 3 to 15.

[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]

4) Use the product rule: x^a x^b = x^a + b.

[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]

5) Simplify 1 + 2 to 3.

[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]

6) Collect like terms.

[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]

7) Simplify.

[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]

Therefor, the answer is 58 + 15x³ / y - 3x².

A rectangular living room has a perimeter of 40 meters. Its area is 100 square meters. What are the dimensions of the living room?

Answers

In response to the question, we may say that So the dimensions of the rectangular living room are 10 meters by 10 meters.

What is rectangle?

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

Let's denote the length of the rectangular living room as "L" and the width as "W".

Perimeter = 2L + 2W = 40

L + W = 20

We also know that the area of the living room is 100 square meters.

Area = L x W = 100

L + W = 20 (equation 1)

L x W = 100 (equation 2)

We can solve for one of the variables in terms of the other in equation 1:

[tex]L = 20 - W\\(20 - W) x W = 100\\20W - W^2 = 100\\W^2 - 20W + 100 = 0\\where a = 1, b = -20, and c = 100.\\W = (-(-20) + \sqrt((-20)^2 - 4 x 1 x 100)) / 2 x 1\\W = (20 + \sqrt(400 - 400)) / 2\\W = 10\\L + 10 = 20\\L = 10\\[/tex]

So the dimensions of the rectangular living room are 10 meters by 10 meters.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

Which three lengths can NOT be the lengths of the sides of a triangle?
A.23 m, 17 m, 14 m
B. 5m, 7m, 8m
C. 21m, 6m, 10m
D.11 m, 11 m, 12 m

Answers

Answer:

C. 21m, 6cm, 10m

Step-by-step explanation:

Find five solutions for the linear equations 2x + y =5

Answers

Answer:

Step-by-step explanation:

x = 2, y = 1

x = 1, y = 3

x = 0, y = 5

x = -1, y = 7

x = -2, y = 9

Hope that helps!

-Sabrina

help plz me plz plz plz

Answers

Answer:

D

Step-by-step explanation:

Brainly plss it would make my day :))))

Answer:

#2

Step-by-step explanation:

what two numbers multiply to equal -50 but adds up to equal 5

Answers

Answer:

10 and -5

Step-by-step explanation:

x + y = 5

xy = -50

y = 5 - x

x(5-x) = -50

5x - x^2 = -50

x^2 - 5x - 50 = 0

from there on we can solve the classic way

[tex]\Delta = (-5)^2 - 4\cdot1\cdot(-50) = 25 + 200 = 225\\\sqrt{\Delta} = 15\\x_1 = \frac{5 - 15}{2} = -5\\x_2 = \frac{5+15}{2} = 10\\y_1 = 5 - x_1 = 10\\y_2 = 5 - x_2 = -5[/tex]

Everything checks out.

Answer:

-5 × 10 = -50

-5 + 10 = 5

brainliest

What is the equation of the line that passes through the points (8,5) and (-6,5)

Answers

Answer:

[tex] \frac{y - 5}{x - 8} = \frac{5 - 5}{8 - ( - 6)} \\ (y - 5)(14) =0 \\ 14y - 70 = 0 \\ [/tex]

Is it?

A rectangular prism gift box has dimensions of 2.5 inches and 7 inches in 9 inches how much wrapping paper will it take to cover the gift Boxxx round the answer to the nearest 10th

Answers

157.5 is the answer I think

Reconsider Dr. Sameer's research question about how much time Cal Poly students spend on watching television. Suppose that for the random sample of 100 Cal Poly students the mean number of hours per day spent watching TV turns out to be 3.01 hours, and the standard deviation of the number of hours per day spent watching TV turns out to be 1.97 hours.


a. Is the number 1.97 a parameter or a statistic? Assign an appropriate symbol to this number.
b. Find the standardized statistic to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours.
c. What is your conclusion about the hypotheses, based on the calculated value of the standardized statistic? How are you deciding?

Answers

Answer:

a. 1.97 is a statistic

b. t test is = 1.32

p value = 0.186

c. there is not enough evidence to support our claim

Step-by-step explanation:

a. 1.97 is not a parameter it is a statistic. It is the standard deviation of the sample. we represent this with the symbol s.

b. we are claiming that the mean hours that are spent watching television is different from 2.75

we form our hypothesis as:

h0; u = 2.75

h1: u not equal to 2.7

t stat = barx - u/s/√n

= 3.01-2.75/(1.97/√100)

= 0.26/(1.97/10)

= 0.26/0.197

= 1.32

we get p value

n = 100

df = 100-1 = 99

using t distribution, pvalue = 0.1899

c. the p value is higher than our alpha level here

0.189 > 0.05, so we fail to reject H0. our conclusion is that there is not enough evidence to show that μ is different from 2.75

FIRST TO ANSWER RECIEVES BRAINLIEST
In the figure below, the radius of circle O is 3 centimeters.

What is the length of the arc bounded by central angle POQ?
cm
7 cm
оооо
EIN 50
За cm

cm
2

Answers

Answer:

C)

Step-by-step explanation:

As it is 60 degree, and the whole circle is 360 degree, so we need to find 1/6 of the circumference of a circle, as C = 2*pi*r = 2*pi*3 = 6pi and 1/6 of it is pi.

Dr. Toliver has 6 fossils.

Dr. Cook has 5 times as many fossils as Dr. Maranan.

They have 90 fossils altogether. How many fossils does Dr. Maranan have?

Copyright 2020 Edmentum, Inc. All Rights Reserved

(hp

Answers

Answer:

dude 30 fossils are left

Step-by-step explanation:

Michael weighed 186 pounds. His doctor put him on a diet which enabled him to lose 3 pounds per month. What was his weight after 7 months on the diet?

Answers

Answer:

165 pounds

Step-by-step explanation:

3 times 7 = 21

186 - 21 = 165

f - 4.1 = 8.6
please help i need ur help please

Answers

Answer:

f=12.7

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

To find f, we need to "reverse" the operation and do 8.6 + 4.1 which equals 12.7.

Double check: 12.7 - 4.1 = 8.6 which is true. Therefore, 12.7 = f.

Hope this helps! If it did, please give me brainliest! It would help me a lot! Thanks! :D

Find the formula for
B

Answers

Answer:

Step-by-step explanation:

Just square m

Answer:

It is m^2

Step-by-step explanation:

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