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x - y = 4

2x + 3y = 28

Use system of equations:

2x - 2y = 8

2x + 3y = 28

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

-5y = -20

y = 4

x - y = 4

x - (4) = 4

x = 8

The two numbers are 4 and 8 :)

let's define two variables for the first and second numbers: x and y. 

now we can create a system of equations -

x - y = 4.

2x + 3y = 28.

i'm going to use elimination for this one, though substitution works just as well! i will multiply the first equation by 2.

2x - 2y = 8

2x + 3y = 28

so now we can subtract these two equations.

5y = 20

y = 4

to solve for x, we plug in the value for y in one of the initial equations.

x - 4 = 4

x = 8

and we're done! hope this helped! please let me know if you are confused about anything i did 

it still wrong please check on your answer

it doesn't work 

Answer: 62  [Explanation/work --> https://brainly.com/question/14733354]

try searching up a question before posting it here because more often than not it has been solved 

because the lines are parallel, we can conclude that angle 3 + angle 5 is 180 (they both make up a straight angle).

now we can make this equation:

5x + 10 + 3x + 10 = 180

8x + 20 = 180

8x = 160

x = 20

hope this helped! sorry if my explanations weren't too clear. feel free to ask any questions you have about what i did! :)

let's define a variable p for pencils and e for erasers.

now we can set up a sysem of equations.

2p + 3e = 140

and

5p + 4e = 280

for this problem, i'm going to use elimination.

we multiplfy the first equation by 5 and the second equation by 2.

10p + 15e = 700

10p + 8e = 560

notice how we now have a 10p on both equations. we can subtract the two equations to cancel those out.

7e = 700 - 560

7e = 140

e = 20

now we can solve for p.

2p + 3(20) = 140

2p + 60 = 140

2p = 80

p = 40

hope this helped! please let me know if you are confused about anything i did 

the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.

now, let's calculate the slope:

\(\frac{1-2}{7-8}\)

= \(\frac{-1}{-1} = 1\)

here is the equation we currently have solved: y = x + b

now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.

let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.

2 = 8 + b

2 - 8 = b

b = -6

and now we have our final equation! 

y = x - 6

hope this helped! please let me know if you are confused about anything i did 

AB  is parallel  to CD

Why???

Angle 6  =  45

Angle 8   = 180  -45  =   135

Angle  8   =  Angle 4

Angles  4  and  8   are  corresponding angles  formed  by  the transversal, t

Two lines  cut by a transversal  forming  corresponding angles are parallel

thanks 

here are the two equations you can write for this one:

x = 50 + y ("There were 50 more adult tickets sold compared to student tickets.")

5x + 2y = 950 ("Adult tickets were 5 dollars, student tickets were 2 dollars, and they collected a total of 950 dollars.")

now, we can use substitution and simplify.

5(50 + y) + 2y = 950

250 + 5y + 2y = 950

7y + 250 = 950

7y = 700

y = 100

now we should plug this variable back in an equation, to solve for x.

x = 50 + 100

x = 150

hope this helped! please let me know if you are confused about anything i did :)

The heights of six students Aaron, Betty, Carrie, Dan, Evelyn and Frank are 58 inches, 60 inches, 63 inches, 68 inches, and 69 inches. Carrie is 4 inches shorter than Aaron. The girls (Betty, Carrie, and Evelyn) are the three shortest students. Dani is one inch shorter than Frank. Betty is the shortest student. What is the sum of Frank’s height and Evelyn’s height in inches?

Let's see if  we  can unravel this

Betty must be  58  = the shortest

Dan must  be  68

Frank  must  be  69      (Note that  Dan is 1 inch shorter  than Frank)

Aaron must  be 64

Carrie  must  be  60

Evelyn  must   be  63

So....the heights  must  be

Betty      Carrie      Evelyn      Aaron      Dan        Frank

 58           60             63            64           68           69

Evelyn +  Frank =    63   +  69   =    132  (inches)

6x - 14 = 3x + 4

3x = 18

x = 6

Your answer on number 2 should be C, yˆ=0.728x2−20.213x+179.246

I graphed the quadratic regression here:

https://www.desmos.com/calculator/c7n0er1wyf

I can see why you're confused....this  sentence is  poorly  constructed

I  think  it  means  that

4  +  5x  =  2x  -  5     rearrange  as

5 + 4  =  2x  - 5x

9    =  -3x

9 / -3  =  x     =  -  3

Area = 8 * 8 ¹/₂

(2x^5 y*8)^2                  2^2  * x^(5*2)  *  y^(8*2)                  4  x^10  y^16            4y^6

___________  =         _____________________  =         _____________  =     ______

(5x^6 y^5)^2                   5^2   * x^(6*2)  * y^(5*2)               25  x^12  y *10          25 x^2

I think it's correct, now....check me   !!!

ok i will wait

Slight mistake....fix it in a sec

the answer is wrong

Let the angle formed by the triangle  at Canton =  C

And the angle formed  by the triangle at Naples =  90 - 44 = 46°

sin (46 ) /  680  =  sin C  / 545

545 * sin ( 46 )   /   680  =  sin C

arcsin ( 545 * sin (56)  /  680 )  = C  ≈  35.2°

Draw  a perpendicular from Elgin to the  base of  the triangle...call the point of intersection with  the  base, P

So let  the triangle   formed  by P , C   and  the angle formed by the perpendicular  at Elgin  be   PCE

So  angle   CEP  = 90   -   =  54.8°

This angle is  supplemental to 180

The suplemental angle is  125.2°

In terms of bearing, the  bearing  from Elgin to Canton = 360  -  125.2  = 234.8° ≈  235°

CORRECTED  !!!! 

Having found a and b (a = 3, b = 1) all you can do with an + b is to set it equal to 3n + 1.

The relationship  is true for all n when a = 3 and b = 1.