(x + y) (x -y) simplfied and showing work

Usando un sistema de ecuaciones, se encuentra que:

Para el sistema, considera-se que:

Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:

[tex]3x + 5y = 112[/tex]

Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:

[tex]6x + 2y = 118[/tex]

Simplificando por 2 :

[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]

Reemplazando en la primera ecuación:

[tex]3x + 5y = 112[/tex]

[tex]3x + 5(59 - 3x) = 112[/tex]

[tex]3x + 295 - 15x = 112[/tex]

[tex]12x = 183[/tex]

[tex]x = \frac{183}{12}[/tex]

[tex]x = 15.25[/tex]

[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]

Un problema similar es dado en https://brainly.com/question/24646137

Answer:

it is (-4,1)

Step-by-step explanation:

Hope this helps:)

Answer:

isosceles triangle

Step-by-step explanation:

In an isosceles triangle 2sides are equal

Answer:

15 Dimes and 75 Nickles

Step-by-step explanation:

N = Nickles

D = Dimes

5D + D = 90

6D= 90

D= 15

90 - 15 = 75

N = 75

There are 75 nickels and 15 dimes does she​ have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Susan has a collection of 90 nickels and dimes.

And, The number of nickels is five times the number of​ dimes.

Now,

Since, The number of nickels is five times the number of​ dimes.

Let number of dimes = x

Then, Number of nickels = 5x

Since, Susan has a collection of 90 nickels and dimes.

Hence, We can formulate;

⇒ 5x + x = 90

⇒ 6x = 90

⇒ x = 15

Thus, The number of dimes = 15

And, Number of nickels = 5 × 15  = 75

Therefore, There are 75 nickels and 15 dimes does she​ have.

Learn more about the mathematical expression visit:

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9514 1404 393

Answer:

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation:

Answer:

73 degrees

Step-by-step explanation:

Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.

So, now just subtract 50 from 123 to get x.

Answer:

0.6x30=18

Step-by-step explanation:

18 miles would be how far it ran.

You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.

Answer:

0.6 × 30 = 18

Step-by-step explanation:

You multiply the two values to get 18:

0.6 * 30 = 18

Hope that helps! :)

Answer:

yint -= (0,100) slope = -5 2/3

Step-by-step explanation:

yint is (0,100) because thats where it hits the y axis

slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with

(83-66)/(3-6)

17/-3

-5 2/3

Answer:

slope -17/3 y -intercept  100

Step-by-step explanation:

Answer:

_

6.1

Step-by-step explanation:

_

11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1

Answer:

A

Step-by-step explanation:

because this is right

Answer:

The slope is 10

The y - intercept is 20

Step-by-step explanation:

The equations are written as:

y = ?x + ?

The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10

The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

Answer:

14

Step-by-step explanation:

ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )

8 red counters are added , so

4x + 8 : 3x = 8 : 3

Expressing the ratio in fractional form

[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )

24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

original number of counters = 4x + 3x = 7x = 7(2) = 14

Answer:

the last one none over lap

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.

One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.

Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.

144 + 36 = 180

Answer:

the sale price of tv is 1620

Step-by-step explanation:

9/100 because full percentage is from 100%

9/100 x 18000

cut 00 from 18000

we will cut it because 100 also have two 0 and 18000 we will cut two 0

next it will be = 9/1 x 180 one is nothing no so it will be

9 x180 answer = 620

plz mark me as brainliest

Answer:

The answer is 9

Step-by-step explanation:

First looking at the triangle with the 90 degree sign in it  we know that the other angles in that triangle will have to add with 90 to equal 180

So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number

[tex](2(9)+18)=36 \\4(9)=36[/tex]

[tex](2(3)+18)=24 \\4(3)=12[/tex]

[tex](2(18)+18)=54 \\4(18)=72[/tex]

and because the lines on each triangle represent that those sides are congruent

I hope this because I am only using what I remember from geometry but please let me know if I am wrong

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Answer:

x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)

Answer:

a = - 3, b = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

Answer:

1. x = 13

2. a = 15

3. y = 3

4. g = -24

5. z = 5.57

6. h = 7.5

7. b = 5.8

8. w = -4.5

13. 29 chapters

14. 23.7 pounds

Step-by-step explanation:

hope this helps! :D

[tex]n = - 1[/tex]

Answer:

Step-by-step explanation:

Answer:

2n-1

Step-by-step explanation:

-5 ---> -3 = 2

-3 -2= -1

Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be

3/4+3/4=2 3/4

So, let us suppose that we have x erasers. The length of the row of x erasers would be

3/4 x

we want x such that this length is 42, so we have the equation

3/4 x =42

Step-by-step explanation:

Answer:

His hourly rate is $8.15.

Step-by-step explanation:

The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).

So what we need to do is to divide that amount ($342.3) by 42.

And we get $8.15.

Step-by-step explanation:

4+(3+2)2

4+(5)2

4+10

14

Your answer is A = 12.375 and B = 5.625.