simultaneous equations!!
solve the following pair of equations for x and y:

y + 4x = 27

xy + x = 40

Answers

Answer 1
1. 4x+y=27
2.dy. Y+1
———=———
Dx. X

Related Questions

I don’t know what I got wrong on this problem. Can someone please help me?

Answers

Answer:

x is equal to the length of that side of the triangle, the x is written on (the distance between the log ride and the pirate ship). You can visually see that both of the long sides of that triangle are equal. See how they look the same? The other side of that triangle (the distance between the Big Top Tent and the Pirate Ship) has a given length written, it says "25 m." So the x side, which is equal is also 25 m. The value of x is 25 m.

Step-by-step explanation:

To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Step-by-step explanation:

Set up a table (attached) that summarizes and organizes the data.  Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school.  We know that distance = (speed)*(time).

The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.

                                TRIPS    

                 1     2  

House/Shed A 6     18   km/hr

Shed/School B 15     27   km/hr

              18'30"    10'10"   min

                18.5     10.16   min    

              0.308   0.169   hr        [Convert the minutes into hours]

[The distance divided by the speed will give the time required for each segment, A and B].  

Trip 1:  1)  A/6 + B/15 =   0.308    

Trip 2: 2)  A/18 + B/27 = 0.169

Trip 1:  A/6 + B/15 = 0.308

            A + (6/15)B = 1.85    [Multiply each side by 6]

              A = 1.85 - (6/15)B     [Rearrange]

             A = 1.85 - (0.4)B       [This will be the defination of A we'll use in the second equation]

Trip2:     A/18 + B/27 = 0.169

    (1.85 - (0.4)B)/18 + B/27 = 0.169   [Use A= 1.85 - (0.4)B from above]

   27(1.85 - 0.4B)/18 + B = 27*(0.169)   [Multiply each side by 27]

   1.5*(1.85-0.4B) + B = 4.58

   2.78 - 0.6B + B = 4.58

    0.4B = 1.85

                                      B = 4.47 km

Now use  B = 4.47 km in either original equation to find A.

A/18 + B/27 = 0.169

A  + (18/27)B = 18*(0.169)   {Multiply both sides by 18]

A  + (0.67)B = 3.042

A  + (0.67)(4.47) = 3.042

A  + (2.98) = 3.042

                                    A = 0.062 km

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

the diameter of a circle is 8 centimeters

Answers

The radius is 4 is correct

Apologize If i keep spamming this question, I just really need help

Answers

Answer:

C , 18

Step-by-step explanation:

Answer:

The sum of the exterior angles of a polygon is always 360°.

Therefore,

[tex]x+2x+3x+5x+9x=360[/tex]

[tex]20x=360[/tex]

Divide both sides by 20:

[tex]\frac{20x}{20}=\frac{360}{20}[/tex]

[tex]x=18[/tex]

A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?

Answers

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}

Answers

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

Which is the best reason why 3/5 is the exact quotient for 1/2÷5/6?
3/5 1/2
3/5×1/2=5/6
3/5×5/6=1/2

Answers

Answer:(3/5 times 5/6 = 1/2)

Step-by-step explanation:

Answer:

3/5 x 5/6 = 1/2

Hope it helps

What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6

Answers

Answer:

the answer is D pls brainliesttt

The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m

Answers

Answer:

1 I think can you make sure?

8x+9y=60 2x-9y=-30 elimation method

Answers

Answer:

x=3 y=4

Step-by-step explanation:

8x+9y=60 + 2x-9y=-30

10x=30

x=3

y=4

The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.

Answers

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

https://brainly.com/question/22940808

i need answer please​

Answers

1. 115
2.65
3. 65
4.130
sorry if it’s wrong i think it’s right though

the difference of 3 times a number and 2 times that same number is 80.what is the number

Answers

(3n - 2n) = 80
n = 80

if f(x)=4x+3 and g(x)=x^2-3 what is f(g(4))

Answers

[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]

Suppose that Nectaria also has 6 chickens. Her neighbor gives her 40 feet of fencing. She must still cut the fencing in lengths that are whole numbers.

What equation can Nectaria write that would allow her to figure out possible dimensions for her chicken pen? Which dimensions would maximize the area of her pen?

EXPLAIN in complete sentences how Nectaria can figure out the possible dimensions for her chicken pen and which dimensions would maximize the area for her chickens.

Answers

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

Each side of an equilateral triangle has length x+3 and each side of a square has length 4x-2. Write an expression for the sum of their perimeters.

Please help me!!

Answers

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Squares have 4 equal sides. Equilateral triangles have 3 equal sides.

Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.


What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

150 because he bought them alot of yes 150 becaus mathamatics

Answer:

150 because he bought them

Step-by-step explanation:

The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.

Answers

Answer:

a, d

Step-by-step explanation:

Hope this helps

let me know weather it is right or wrong

Write in point slope form the equation for the line that goes through the point (-1,-6) and has a slope of 16

Answers

Answer:

y+6 = 16 (x+1)

Step-by-step explanation:

Point slope form of an equation is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y- -6 = 16 (x- -1)

y+6 = 16 (x+1)

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?

Answers

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

https://brainly.com/question/25292087

#SPJ2

HELP!!! Worth 50 points


Answers

Answer:

with what

Step-by-step explanation:

I am confused there is no question at all showing

Answer:

Answer:

The correct answer is C - 7.8 < 7 5/6 < 7.9

Step-by-step explanation:

First, convert 7 5/6 to decimal form --> 7.83.

If you don't know how to convert, think about what 5/6 is equal to and put it in decimal form. Add your decimal to the whole number, and there is your answer.

7.83 is in between 7.8 and 7.9, so it must be the answer.

I hope this helps!

Step-by-step explanation:

Pls help
I will mark as brainliest ​

Answers

Answer:

-12оэээжжоояффпвнтоее

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The answer will be a drum please the answer is A

Someone plz help me I’m begging

Answers

Answer:

answer is D

pls I don't confirm sorry

Last month of the visitors at the zoo saw the panda. This month of the visitors at the zoo saw the panda. What fraction more of the visitors saw the panda this month? Simplify the answer if possible.

A. 1/12

B. 1/4

C. 1/6

D. 3/4​

Answers

Answer:

There is no way of finding out.

Step-by-step explanation:

The price of trail mix at a health food store is
$7.50 per pound. At that rate, what is the total
cost of three 8-ounce bags of trail mix?

Answers

Answer:

$3.75 every 8 oz bags.

Step-by-step explanation:

7.5 divided by 2 to get 3.75. 1 LB is equal to 16 oz so 8 is half of 16.

Help please I really don’t understand SOS

Answers

Answer : 5 , 6 , 7 and 8

Step-by-step explanation:

.....

Compare the fractions using the LCM.


​1\7,2\3​


Enter the correct inequality in the box.

Answers

Answer:

42

Step-by-step explanation:

1*3=3

it becomes 2,3 and 7

you will get the answer as 42

PLS HELP IT’S DUE TMR!!

Answers

Answer:

Use ≈ (approximately equal) sign as the scientific notation.

Step-by-step explanation:

(a) 0.001872 ≈ 0.0019

(b) 0.3411 ≈ 0.34

(c) 0.000845 ≈ 0.00085

*Zeros before non-zero numbers are not significant.

*Zeros appearing between two non-zero digits are significant.

Hope this helps!!

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