solve for x and y simultaneously
[tex]2x = 3y - 4[/tex]
and
[tex]y = 3 - x[/tex]
.....

thank you

Answers

Answer 1

Answer:

x=1 , y= 2

Step-by-step explanation:

solving for x:

2x=3(3-x) - 4

- multiply 3 by everything in the parentheses

2x= 9-3x-4

- add 3x to both sides

5x=9-4

5x=5

- divide each side by 5( isolating x)

x=1

solving for y:

y= 3- (1)

- input our solved value for x in the orginal equation

y=2


Related Questions

What is the arc length if θ = 2 pi over 3 and the radius is 4 cm?
8 pi over 3
16 pi over 3
pi over 6
3 pi over 4
will give brainiest

Answers

my answer is in the image above

Answer:

8 pi/3

Step-by-step explanation:

The arc length is equal to the radius times the angle ( given in radians)

s = r theta

s = 4 *(2 pi /3)

s = 8 pi/3

The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.

Answers

The answer is 14 , 14 student made 80 or better on test 4

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

A 3-member committee has to be formed from 2 teachers and 2 parents. How many combinations are possible?

Answers

Step-by-step explanation:

the answer is in the above image

The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

Combination and permutation

Combinations have to do with selection compared to permutation that has to do with the arrangement.

If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:

Total committee members  = 2 + 2

Total committee members = 4 committees

If 3-member committee has to be formed from them, the number of ways this can be done is given as:

4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways

Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

Learn more on combination here: https://brainly.com/question/11732255

1. Chandler has a large and varied comic book collection. Of his
collection, 4/5 of the comics are superhero comics. Of those superhero
comics, 2/9 are Arachna-Man comics and 1/8 are Wonderdog comics.

part a. find the fraction of chandler's comic book collection that is made up of aracha-man comics. explain how u found your answer.
PLEASE ANSWER!!

Answers

Answer:

8/45

Step-by-step explanation:

Take the fraction that are superhero comics and multiply by the fraction of superhero comics that are Arachna comics

4/5 * 2/9

8/45

A counter in Spencer's kitchen is 4 feet wide and 8 feet long. Spencer wants to replace the
counter with a granite countertop, which would cost $19.00 per square foot. How much would
the granite countertop cost?

Answers

Answer:

The granite countertop will cost $ 608.

Step-by-step explanation:

Given that a counter in Spencer's kitchen is 4 feet wide and 8 feet long, and Spencer wants to replace the counter with a granite countertop, which would cost $ 19.00 per square foot, to determine how much would the granite countertop cost the following calculation must be performed:

(4 x 8) x 19 = X

32 x 19 = X

608 = X

Therefore, the granite countertop will cost $ 608.

jackie wants to learn more about local college. which of the following is a statistical question jackie could ask?
A. does the collage have art classes
B. what is the address of the college
C. how old are the student's
D. does the collage have a women's soccer team

Answers

the answer to this question is C
Hi! The answer to the question is C. because a statistical question is a question that can be answered by collecting data that vary. The only question that can be proved by data is number C. I hope this helped you, Goodluck :)

consider the equation of the line y=-2x+4 what is the value of y when x=2​

Answers

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

UHHH HELP ME !!
**
Which description is paired with its correct expression?
5
VX
4-
P
+3
O four less than the quotient of a number cubed and seven, increased by three;
O five times the difference of a number squared and six; 5(6-n")
-4.
O nine more than the quotient of six and a number cubed, decreased by four;
9+
twice the difference of nine and a number squared; 2 (9_n? )

Answers

Answer:

the last option is the correct answer

Jaclyn estimates that the square root of 50 in the following way:


[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10

Explain why her reasoning is incorrect. Please use complete sentences.

Answers

[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

Error made by Jaclyn

[tex] \sqrt{50} [/tex]

[tex]\sf\red{=\:2√25}[/tex] ❌

Correct way to solve it

[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Which best describes the circumcenter of a triangle?
• A. The point where the three angle bisectors of the triangle inters

B. The point where the perpendicular bisectors of the three sides
the triangle intersect
• c. The point where the three altitudes of the triangle intersect
D. The point where the three medians of the triangle intersect

Answers

Answer:

B

Step-by-step explanation:

Not much to say but that i the definition.  You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.  

A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.

Aside from being able to tell from the parts of the words, you just kinda have to memorize these.  

Which of the above numbers is the value of expression equal to?

3.5x105 +4.0 x106 - 2.0 x104

A. 3.542 x 10^5

B. 7.3 x 10^5

C. 4.15 x 10^6

D. 4.33 x 10^6

E. 4.37 x 10^6

Answers

Answer:

D.

[tex]4.33 \times {10}^{6} [/tex]

E is your right answer for this question have a nice day

anyone know this ...

Answers

It should be AA c: ✌️
the answer to this question should be AA c

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

What is the answer and how did you get it

Answers

answer is 200 lol pretty easy

Answer:

He sold 200 loaves

Step-by-step explanation:

if he sells twice as many the next week the equation would be

100 times 2 = x

therefore, the answer is 200

Solve the system of equations by graphing on your own paper. What is the y
coordinate of the solution?
= 2x-1
= -2x+5

Answers

Answer: The coordinate of the solution is (0.25,-0.5)

Step-by-step explanation:

the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.

Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot, in feet, of the sphere that Samantha will create? ​

Answers

The volume occupied by a 350 pound sphere is 2.33 ft³.

Equation

Equation is an expression used to show the relationship between one or more numbers and variables.

Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:

y = 150x

For a 350 pounds sphere:

350 = 150x

x = 2.33 ft³

The volume occupied by a 350 pound sphere is 2.33 ft³.

Find out more on equation at: https://brainly.com/question/13763238

the furniture store sells dining room tables and chairs. single chairs for particular table sell for 75.00 each. the cost for four chairs when the customer purchases the entire set is 200. what is the percent savings on the 4-chair set rounded to the nearest whole percent?
a.25%
b.33%
c.50%
d.66%

Answers

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:

[tex]4*75=\\300[/tex]

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:

[tex]300-200=100\\\frac{100}{300} =\frac{1}{3}[/tex]

[tex]\frac{1}{3}=33[/tex]%

Therefore, B, the percent savings is 33%.

I hope this helps! Let me know if you have any questions :)

A:6 and 30
B:8 and 28
C:4 and 16

Answers

Answer:

C?

Step-by-step explanation:

Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua

Answers

Answer:

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:

Volumen= longitud*ancho*altura

Y reemplazando los valores se obtiene:

1000 m³= 25 m* 20 m* altura

Resolviendo:

1000 m³= 500 m²* altura

[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]

altura= 2 m

La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.

A line of best fit....?

a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope

Answers

I’m pretty sure the correct answer is C

What are the missing variables? Plzzzz

Answers

Answer:

D. x ≈ 3.3, y = 15.7

Step-by-step explanation:

x = Opposite

y = Adjacent

16 = Hypotenuse

θ = 12°

To find x, we solve using the Trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

x = Opposite

sin 12 = x/16

Cross Multiply

x = sin 12 × 16

x = 3.3265870531

Approximately, x ≈ 3.3

To find y, we solve using the Trigonometric function of cosine

cos θ = Adjacent/ Hypotenuse

y = Adjacent

cos 12 = y/16

Cross Multiply

y = cos 12 × 16

y = 15.650361612

Approximately, y ≈ 15.7

Therefore, x ≈ 3.3, y = 15.7

Option D is correct

what is the solution to the equation below sqrt x-2 = x-22​

Answers

Answer:

27-2 =27-22

25. =5

the answer is option B

x=27

Answer:

option B : x = 27

Step-by-step explanation:

In circle H with mZGHJ = 92°, find the angle measure of minor arc GJ

Answers

Answer:

x = 92°

Step-by-step explanation:

The angle measure of the central angle is congruent to the measure of the intercepted arc.

The Sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

Answers

Answer:

8 and 17

Step-by-step explanation:

Let the number x and y

Sum of numbers, x + y = 25 -----------( 1 )

One number exceeds other by 9,

 that is difference between the numbers is 9, x - y = 9

                                                                       => x = 9 + y   --------- ( 2 )

Substitute ( 2 ) in ( 1 )

( 9 + y ) + y = 25

2y = 25 - 9

2y = 16

y = 8

Substitute y = 8 in ( 2 ) : x = 9 + y

                                        = 9 + 8 = 17

Therefore the 2 numbers are 8 and 17

Answer:

The answer would be that one number is 8 and the second is 17.

The sum of these two numbers is 25, ad 17 and 8 have a difference of 9

Step-by-step explanation:

Write an equivalent expression in expanded form. -1/4(-8x+12)

Answers

Answer:

2x - 3

Step-by-step explanation:

The Distributive Property of Multiplication applies here.  Multiply each of the two terms inside parentheses by-1/4:  2x - 3

A baseball team has nine players whose weight, in pounds, are

174, 177, 194, 162, 196, 169, 187, 192, 178


Find the median and range of those weights

------

(I have to find the mistake in the student sample below)

174, 177, 194, 162, 196, 169, 187, 192, 178

The median is 196


196 - 162 = 34

The range is 34
HELP ME

Answers

The student forgot to sort the values first.

The sorted data set is {162, 169, 174, 177, 178, 187, 192, 194, 196}

Cross off the first four items, and cross off the last four items. You'll find that 178 is the only thing left, so it's right in the middle. This is the median.

Another way to find the median is to notice that there are n = 9 items in the list, so n/2 = 9/2 = 4.5 which rounds to 5 represents the slot number where the median is located. The value 178 is in slot 5. This trick only works if n is odd.

The range is the difference between the min and max, so,

range = max - min = 196-162 = 34

The student got the range part correct.

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

Summary:

Median = 178

Range = 34

Calculate the number of kilowatt-hour a 7kW industrial pump used in 15 hours?

Answers

Answer:

The answer is "105 kilowatt-hour".

Step-by-step explanation:

Number of kilowatts[tex]= 7\ KW[/tex]

Total hours[tex]= 15 \ hours[/tex]

The total number of kilowatt-hour:

[tex]=7 \times 15\\\\= 105 \ kilowatt-hour[/tex]

Help please? Not good at math :(

Answers

Answer:

see below

Step-by-step explanation:

a = -2  b = 4  c = -8

b^2 - 4ac

4^2 - 4( -2) (-8)

16 - (64)  Three negatives multiplied together is negative

-48

Since this is negative there are no real solutions  ( 2 complex solutions)

4x-8y less than or equal to -16

Answers

Answer:

x=0, y=2

Step-by-step explanation:

if you substutute the answers you will get the correct answer

What is the slope of the line that passes through the points (3,4) and (0,-2)

Answers

Answer:

slope of a line is 2/3

Step-by-step explanation:

the coordinate points are:

(3,4)=(x1 , y1)

(0,-2)=(x2 , y2)

slope=y2 - y1/x2 - x1

=-2-4/0-3

=-2/-3

=2/3

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