solve for x and y plz 12x - 5y = -20 x + 4 = y

Answers

Answer 1

Answer:

(0,4)

Step-by-step explanation:

System of Equations:

[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]

x= y-4 .... Change format so you can substitute to first equation

12(y-4)-5y=-20 .... Plug in x= y-4  to first equation

12y - 48 -5y = -20 ..... Distributed

7y -48 =-20 .... Added like terms

7y=28 .... Added 48 to both sides

y=4

.... Plug y into the second equation to find x

x + 4=y

x +4 = 4 .... Plugged in y

x = 4-4 .... Subtracted 4 from both sides

x=0

Your answer is (0,4)

Hope this helps:)


Related Questions

1. A cone is 8cm high and has a base diameter of 12cm.its slant height is a.6cm b.8cm c.10cm d.12cm

Answers

Answer:

10

Step-by-step explanation:

it is Pythagoras theorem

6*6=36

8*8=64

64+36=100

square root of 100 is 10

solve for x 3(x+2) = 12

Answers

Answer:

x=2

Step-by-step explanation:

3(x+2) = 12

Divide by 3

3/3(x+2) = 12/3

x+2 = 4

Subtract 2 from each side

x+2-2 = 4-2

x =2

Answer:

The value of x is equal to 2.

Step-by-step explanation:

3(x + 2) = 12

Distribute 3 to (x + 2)

3x + 6 = 12

Subtract 6 from both sides of the equation.

3x = 6

Divide 3 on both sides of the equation.

x = 2

The value of x is 2

The width of a rectangle measures (8.3c-8.4d)(8.3c−8.4d) centimeters, and its length measures (5.3c+4.8d)(5.3c+4.8d) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

P = 27.2c-7.2d

Step-by-step explanation:

It is given that,

The width of a rectangle is (8.3c-8.4d)

The length of a rectangle is (5.3c+4.8d)

The perimeter of a rectangle is equal to the sum of its all sides i.e.

P = 2(l+b)

P = 2(8.3c-8.4d+5.3c+4.8d)

P = 2[(8.3c+5.3c)+(4.8d-8.4d)]

P = 2(13.6c-3.6d)

P = 27.2c-7.2d

Hence, the expression that represents the perimeter of the rectangle is 27.2c-7.2d.

Write an equation for a line on the graph that passes through the points (0.4) and (12,16)

Answers

Answer:

[tex] y = x + 4 [/tex]

Step-by-step explanation:

Use the two-point form of the equation of a line.

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]

[tex] y - 4 = \dfrac{12}{12}x [/tex]

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

[tex] y = x + 4 [/tex]

Answer:

y = x + 4

Step-by-step explanation:

An equation for a line looks like:

=> y = mx +b

=> In this equation "m" is the slope.

=> "b" is the y-intercept.

To find the slope:

=> y/x - y1/x1

=> 16/12 - 4/0

=> 16 -4 / 12 - 0

=> 12 / 12

=> 1

So, the slope is 1.

Now our equation looks like:

y = 1x + b

=> y = x + b

Let's take some the values of "x" and "y"  of (0,4)

So, our now look like:

=> 4 = 1 (0) + b

=> 4 = b

So, b (y-intercept) = 4

Now, our final equation is:

=> y = x + 4

If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.

Answers

Answer:

The perimeter of the Rhombus is 100 cm

Step-by-step explanation:

First of all, we will need to find the length of the other diagonal.

let’s call the diagonals p and q

Mathematically, the area of the Rhombus is;

pq/2 = Area of Rhombus.

Let’s call the missing diagonal p

So;

(p * 14)/2 = 336

14p = 672

p = 672/14

p = 48 cm

Now, we can find the perimeter of the Rhombus using these diagonals.

Mathematically;

P = 2 √(p^2 + q^2)

Substituting these values, we have;

P = 2 √(14)^2 + (48^2)

P = 2 √(2500)

P = 2 * 50

P = 100 cm

The perimeter of the rhombus is the sum of its side lengths

The perimeter of the Rhombus is 100 cm

The length of one of its diagonal is given as:

[tex]p= 14[/tex]

And the area is given as:

[tex]A = 336[/tex]

Assume the other diagonal is q.

The area of the rhombus is represented as:

[tex]A = \frac{pq}2[/tex]

So, we have:

[tex]336 = \frac{14q}2[/tex]

This gives

[tex]336 = 7q[/tex]

Divide both sides by 7

[tex]48 = q[/tex]

Rewrite as:

[tex]q = 48[/tex]

The perimeter (P) of the rhombus is calculated as:

[tex]P =2\sqrt{p^2 + q^2[/tex]

So, we have:

[tex]P =2\sqrt{48^2 + 14^2[/tex]

Evaluate the squares

[tex]P =2\sqrt{2500[/tex]

Take positive root of 2500

[tex]P =2 \times 50[/tex]

[tex]P =100[/tex]

Hence, the perimeter of the Rhombus is 100 cm

Read more about areas and perimeters at:

https://brainly.com/question/14137384

A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far from the endpoint should the apprentice cut the pipe?

Answers

Answer:

18 inches

Step-by-step explanation:

To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches

MATH QUESTION : As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by 1/3 five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?

Answers

Answer:

5/3

Step-by-step explanation:

5×(10×1/3)

=10×5/3

=since 5×(10×1/3) gives 50/3 so thus 10×5/3.

The fraction is therefore 5/3

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? A graph titled Average Salaries of Various Careers, 2008 to 2009. Veterinarian, 56,000 dollars; personal trainer, 18,000 dollars; accountant, 43,000 dollars; paralegal, 34,000 dollars; architect, almost 50,000 dollars; photographer, 19,000 dollars; pharmacist, 44,000 dollars; secretary, 30,000 dollars; surveyor, 36,000 dollars; webmaster, 49,000 dollars. a. accountant b. paralegal c. photographer d. surveyor

Answers

Answer:

The correct option is;

a. Accountant

Step-by-step explanation:

The given data are;

Career,                                                                   Average Salary

Veterinarian,                                                          $56,000

Personal trainer,                                                    $18,000

Accountant,                                                           $43,000

Paralegal,                                                              $34,000

Architect,                                                               $50,000

Photographer,                                                       $19,000

Pharmacist,                                                            $44,000

Secretary,                                                              $30,000

Surveyor,                                                               $36,000

Webmaster,                                                           $49,000

Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.

Write an expression to represent the product of 6 and the square of a number plus 15.

Answers

Answer:

6x^2 + 15

Step-by-step explanation:

We don't know what the square of a number is, so we represent it as x^2

The first part tells us to find the product of 6 and the square of a number, so

6x^2

The second part tells us to add 15 so,

6x^2 + 15

The expression that should be represented is [tex]6x^2 + 15[/tex]

Given that

The product of 6.The square of number + 15.

Based on the above information,

Let us assume the number should be x

So, from the above information, the expression should be [tex]6x^2 + 15[/tex]

Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]

Learn more about the equation here:brainly.com/question/21105092?

It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?

Answers

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

Answers

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

Answers

Answer:

When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°

Step-by-step explanation:

Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.

Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.

In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.

Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.

Angle A = Angle B

m<A + m<B = measure of intercepted arc = 75°

Erica can run 1 / 6 fraction of a kilometer in a minute. Her school is 3 / 4 of a kilometer away from her home. At this speed, how long would it take Erica to run home from school? answer quick plz

Answers

Answer:

the result is 4.5 minutes.

- Erica runs 1/6 km in a minute.

- The school is 3/1 km away from her home.

Step-by-step explanation:

inscribed angles. need answers asap , thank u!​

Answers

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

Please answer this question now

Answers

Answer:

72°

Step-by-step explanation:

From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:

m < D = ½(ABC) = ½(AB + BC)

Thus,

[tex] 56 = \frac{1}{2}(AB + 40) [/tex]

Solve for AB

[tex] 56 = \frac{AB + 40}{2} [/tex]

Multiply both sides by 2

[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]

[tex] 112 = AB + 40 [/tex]

Subtract both sides by 40

[tex] 112 - 40 = AB + 40 - 40 [/tex]

[tex] 72 = AB [/tex]

Arc AB = 72°

HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel

Answers

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

$10,000 for 20 years at 5% compounded annually

Answers

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98

Write 3.6 as a percent.

Answers

Answer:

360%

Step-by-step explanation:

You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.

Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces

46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest

Answers

Hello!

Answer:

[tex]\huge\boxed{x = 27}[/tex]

Given:

3x - 4y = 65 where y = 4;

Substitute in 4 for "y":

3x - 4(4) = 65

Simplify:

3x - 16 = 65

Add 16 to both sides:

3x - 16 + 16 = 65 + 16

3x = 81

Divide both sides by 3:

3x/3 = 81/3

x = 27.

Hope this helped you! :)

Answer:

x=27

Step-by-step explanation:

3x-4y=65

Let y=4

3x - 4(4) = 54

3x -16 = 65

Add 16 to each side

3x -16+16 = 65+16

3x = 81

Divide each side by 3

3x/3 =81/3

x =27

For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x

Answers

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

y = 8 - x

Step-by-step explanation:

y = 8 - x

Replace x and y in this function

12 = 8 - 4

12 = 4 (impossible)

So, (4 , 12) is not solution for: y = 8 - x

Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Let the rate of the plane be x

The rate of the wind be y

Against the wind

Resultant velocity = x-y

1650/3 = x - y

550 = x - y

With the wind

Resultant velocity = x + y

3480/4 = x + y

870 = x + y

Solve equation simultaneously

Add both equations

870+550 = x+y+x-y

1420 = 2x

x = 710

x + y = 870

y=870 - 710

y = 160

The rate of jet in still air = 710 mph

The rate of wind = 160 mph

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5

Answers

Answer:

[tex] \boxed{ - \frac{2}{5} }[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]

[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]

[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]

[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]

[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]

[tex] \mathrm{ - \frac{2}{5} }[/tex]

Hope I helped!

Best regards!

The quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  -4 /5 divide 2

Thus, we have to divide the terms as;

-4 /5   ÷ 2

Therefore,  -4 /5 x 1/ 2

-2/5

Hence, the quotient of  -4 /5 divide 2 would be equal to -2/5 in simplified form.

Learn more about the quotient;

brainly.com/question/26913992

#SPJ2

A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.

Answers

This is a problem using the Pythagorean theorem.

The square of the length required is 122 + 122 + 302 = 1188

 

The length is the square root of this number; I will leave it to you to extract the square root.

Answer:

34.47

Step-by-step explanation:

Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?

Answers

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

Please help, I don't understand

Answers

Answer:

  sin(θ) = (2/5)√6

Step-by-step explanation:

The sine and cosine are related by the formula ...

  [tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]

Filling in the given value for cos(θ), we find the sine to be ...

  [tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]

__

The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...

  sin(θ) = (2/5)√6

50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function

Answers

Answer:

Graph D

Step-by-step explanation:

(h)t = -16t^2 + 80

At time t = 0 the screwdriver is at 0+80 =80 ft

As time increases the height will decrease so we can eliminate graph B

We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A

We need to find where it meets the x axis

0 = -16t^2 + 80

-80 = -16t^2

5 = t^2

t = sqrt(5)

t =2.23

This is Graph D

Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.

Answers

Answer:

well just do area, and since it's the same in each side 12×4= 144

What is the the product of (-1 - 3i) and it’s conjugate?

Answers

Answer:

10

Step-by-step explanation:

(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²

1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10

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