-5y+6x=40
solve the system of equations ​

Answer:

[tex]\huge\boxed{\sf x = 20}[/tex]

Step-by-step explanation:

=> Since it is an equilateral (Having all angles and all sides equal)  triangle, so every angles will be equal to the other.

=> The sum of the measures of interior angles of triangle add up to 180 degrees.

So,

3x + 3x + 3x = 180

9x = 180

Divide both sides by 9

x = 20

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Table shown below

Step-by-step explanation:

Linear Modeling

It consists of finding and using the equation of a line to represent the behavior of a real situation in numerical terms.

We are given the model of the charges for a satellite radio company that charges a fixed fee of $36 for installation and a variable fee of $42 per month for use.

The model is written as:

C(m) = 36 + 42m

Where m is the number of months.

For m=1:

C(1) = 36 + 42(1)=$78

For m=2:

C(2) = 36 + 42(2)=$120

For m=3:

C(3) = 36 + 42(3)=$162

For m=4:

C(4) = 36 + 42(4)=$204

For m=5:

C(5) = 36 + 42(5)=$246

The calculations are resumed in the table shown below.

Answer:

The answer is 0.20

Step-by-step explanation:

Answer: 0.20

Step-by-step explanation:

Answer:

Vertical Stretch & horizontal translation

Step-by-step explanation:

the vertical stretch makes the line bigger

Horizontal translation will move the shape 2 left of the x axis

Answer:

Srry bro its way to blurry for me to read... Also dont show your password to randoms.

Step-by-step explanation:

Answer:

4 -1

Step-by-step explanation:

just trust me on this one :)

Answer:

-12

1

9

13

Step-by-step explanation:

its just the numbers in front of the variables

Answer:

5.   y= -2x+4

6.   y= 1/3x-3

7.   y= -5/2x+8

8.    y= 3/4x+3

Step-by-step explanation:

these are the answers if you want me to explain tell me!

Answer:

180 cookies

Step-by-step explanation:

Answer:

A model divided into 100 parts. 75 are shaded gray. 2 are shaded black.Step-by-step explanation:

i used a calculator to divide it by 75 witch gave me .75

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

To learn more about equation :

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Answer:

I'm getting

y=-7x+8

The 7 is negative for me..You should maybe try yourself too and see what you get I might have made a mistake

Step-by-step explanation:

I'm guessing you live somewhere in the U.S. so I'll use the equation you use there

Equation:

[tex]y = mx + b[/tex]

[tex]m = \frac{y1 - y2}{x1 - x2} [/tex]

first pick two points

I'll pick (0,8) and (1,1)

[tex]m = \frac{8 - 1}{0 - 1} = \frac{7}{ - 1 } = - 7[/tex]

this means that the slope is -7

So far the equation will look like this

[tex]y = - 7x + b[/tex]

to get b pick one point, I'll pick (0,8) and replace y and x

[tex]8 = - 7 \times 0 + b[/tex]

when you solve this you'll get b

[tex]b = 8[/tex]

So the equation will look this

[tex]y = - 7x + 8[/tex]

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

Learn more about equations here;

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Answer:28

Step-by-step explanation:7 x 4= 28

Answer:

28

Step-by-step explanation:

7, 14, 21, 28

Answer: the answer is 2

Step-by-step explanation:

Answer:

the answer is more than 47 *thumbs up*

Step-by-step explanation:

Answer:

where r the equations?

Answer:

3(12-x)=6

Step-by-step explanation:

hope that helps !!!!!!!!!!!!!!!!!

Answer:

7 1/3

Step-by-step explanation:

Answer:

7 1/3

Step-by-step explanation:

two negatives equal a positive.

new answer:

1 2/3 + 5 2/3= 7 1/3

5+1= 6

2/3+2/3= 1 1/3

6+ 1 1/3= 7 1/3

7 1/3 is your answer.

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

have a nice day! ( ﾟдﾟ)つ Bye

Answer:  [tex]w^2+4w-36=0[/tex]

Step-by-step explanation:

Let w = width of the base of the shoebox.

As per given ,

Length = 8+2w centimeters

Area of base = 72 square centimeter

Area of rectangle =  Length x width

[tex]\Rightarrow\ 72=w(2w+8)\\\\\Rightarrow\ 72= 2w^2+8w\\\\\Rightarrow\ 2w^2+8w-72=0\\\\\Rightarrow\ w^2+4w-36=0[/tex]

Required equation: [tex]w^2+4w-36=0[/tex]

Answer:

The mode is 88 as you can see there the 88 occurs twice.

Step-by-step explanation:

I hope this helps

Answer:

y=2x-11

Step-by-step explanation:

Answer:

Exact Form: x= -5/2

Decimal Form: x= -2.5

Mixed Number Form: x= -2 1/2

Step-by-step explanation:

Hope this helps!

The answer is x = -5/2

Answer:

C) 114

Step-by-step explanation:

41 + 73 = x

114 = x

Answer:

48 orders

Step-by-step explanation:

so 10 dozen is 120 because 12(10) is 120. we first subtract 120-28, which is 96. divided 96 by 2 to get 48.

equation: (12(10)-28)/2=x

Answer:

46 orders.

Step-by-step explanation:

(10*12) - 2x = 28

120 - 2x = 28

-2x = 28 - 120

-2x = -92

x = -92/2

x = 46

Answer:

the answer is 15 degree

Answer:

15

Step-by-step explanation:

first i looked at the numbers that weren't X and added up to 30° and subtracted that from 180 because a triangle equals 180. i got 150 and there is in total of 10 x's so i divided 150 by 10 and got 15! have a good day :)

Answer:

6 months

Step-by-step explanation:

13y+12,6y−9=y

2 Switch sides.

y=13y+12,6y-9y=13y+12,6y−9

3 Break down the problem into these 2 equations.

y=13y+12y=13y+12

y=6y-9y=6y−9

4 Solve the 1st equation: y=13y+12y=13y+12.

y=-1y=−1

5 Solve the 2nd equation: y=6y-9y=6y−9.

y=\frac{9}{5}y=

​5

​

​9

​​  

6 Collect all solutions.

y=-1,\frac{9}{5}y=−1,

​5

​

​9

​​  

Step-by-step explanation:

i dont know what u said so i solved for y

Answer:

y = 1/4

Step-by-step explanation:

Yo no comprehendo espanol mucho, but I'll try

12y + 15 + y - 36y - 9 = y

Rearrange

12y + y (-y) + 15 (-15) - 36y - 9 (+9)= y (-y) (-15) (+9)

12y - 36y = - 15 + 9

-24y = - 6

Divide both sides by - 24 (Take note of the signs (+) (-))

-24y/-24 = - 6/-24

y= 1/4