a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the company recycle in one week?

Answer:

[tex]-a^2+ab[/tex]

Step-by-step explanation:

So the sentence can be written like this:

[tex]((a^2-b^2)+(a^2+ab+3b^2))-((a^2-2ab+b^2)+(2a^2+2ab+b^2))[/tex]

Now you can combine like terms in the first part of the equation and the second part:

[tex]((a^2+a^2)+ab+(-b^2+3b^2))-((a^2+2a^2)+(-2ab+2ab)+(b^2+b^2))[/tex]

Which leaves you with:

[tex](2a^2+ab+2b^2)-(3a^2+2b^2)[/tex]

Now distribute the negative to the second part of the equation:

[tex]2a^2 + ab + 2b^2-3a^2-2b^2[/tex]

Combine like terms again:

[tex](2a^2-3a^2)+ab+(2b^2-2b^2)[/tex]

Which becomes:

[tex]-a^2+ab[/tex]

Answer:

- a² + ab

Step-by-step explanation:

summing the first 2 expressions

a² - 2ab + b² + 2a² + 2ab + b² ← collect like terms

= 3a² + 2b² → (1)

summing the next 2 expressions

a² - b² + a² + ab + 3b² ← collect like terms

= 2a² + ab + 2b² → (2)

Subtracting (1) from (2)

2a² + ab + 2b² - (3a² + 2b²) ← distribute parenthesis by - 1

= 2a² + ab + 2b² - 3a² - 2b² ← collect like terms

= - a² + ab

Answer:

<1 and <2 are remote interior angles of <6

<2 and <3 are remote interior angles of <4

Answer:

20 ft

Step-by-step explanation:

It is 20 ft because you use pathagoren therom.

a^2 + b^2 = c^2

Answer:

The question cut off but I'm assuming this is basically just a find the area of the shaded region type of question. First thing you need to do is calculate the areas of the right triangle and the rectangle. Subtract the area of the triangle from the area of the rectangle.

Area of rectangle: 8 x 7 = 56ft^2

Area of the triangle: (6 x 2)/2 = 6ft^2

Subtract 6ft^2 from 56ft^2 and you get:

56 - 6 = 50ft^2

Area of shaded region is 50ft^2

Answer:

23 & 13

Step-by-step explanation:

23+13=36

Answer:

x = 23

y = 13

Step-by-step explanation:

Let the number be x and y.

As given,

x + y = 36 ---(i)

x - y = 10 ---(ii)

Adding eq(i) and eq(ii) we get,

2x = 46

x = 23

Now putting the value of x in eq(ii)

23 - y = 10

y = 13

So the two numbers are 23 and 13.

Answer:

280

Step-by-step explanation:

first, find the area of the triangle

formula: 1/2 (base × height)

so the area of the triangle is

= 1/2 (16×5)

= 1/2 (80)

= 40

then, find the area of the rectangle

formula: length × breadth

the area of the rectangle is

= 15 × 16

= 240

the area of the composite figure is the sum of the areas of the triangle and rectangle

= 40 + 240

= 280

Answer:

Fourth degree or quartic

Step-by-step explanation:

As the highest power is 4, it is a quartic.

Answer:

3/2

Step-by-step explanation:

The values of x and y are 50 and 35 respectively.

The corresponding angles of similar triangles are equal. Therefore,

The first patio angles are:

x + 10

y + 15

70°

The second patio angles are ;

x + 20

50°

60°

Therefore,

x + 20 = 70

x = 70 - 20

x = 50

y + 15 = 50

y = 50 - 15

y = 35

Answer:

ASA

Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me

Adding this so you can give the other person a brainlyist

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

Answer: Neither are functions, so option D

On both tables, one of the inputs has 2 outputs, so no function

Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.

Step-by-step explanation:

9/3=3

3/3=1

1/3=1/3

1/3/3=1/9

1/9/3=1/27

1/27/3=1/81

and I think you know what I mean by now right?

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

Answer:

.50x4+15=x

Step-by-step explanation:

X=17

Answer:3125 muffins

Step-by-step explanation:

Answer

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 3/10 + 21/100 equals 51/100 as a fraction.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

0.51000 which as smaller is 0.51

Step-by-step explanation:

simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100

Answer:

A = 324 in²

Step-by-step explanation:

A square has 4 congruent sides s , then

s = 72 ÷ 4 = 18 in

The area (A) of a square is calculated as

A = s² = 18² = 324 in²

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

Answer: X=9

Step-by-step explanation:

Answer:

f(x) = x-9 {9 < x}

f(x) = 0 {x = 9}

f(x) = -x - 9 {x < -9}

Step-by-step explanation:

I'm not too sure what transformation you want. However,,,

f(x)=|x-9| can be changed to function

f(x) = x-9 {9 < x}

f(x) = 0 {x = 9}

f(x) = -x - 9 {x < -9}

without absolute value.

Answer: the 4 quart is a better buy

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). 3 - | x + 4 | = 10 No solutions

2). [tex]\frac{1}{2}[/tex] | x | + 3 = 3 One solution x = 0

3). | x - 8 | - 4 = - 1 Two solutions x = 5 and x = 11

Answer:

$2.50

Step-by-step explanation:

1h + 2w = 9

3h + 4w = 22

Multiply the first expression x 3

3h + 6w = 27

Subtract the 2 equations

3h + 6w = 27

3h + 4w = 22

2w = 5, w = 2.5

Answer:

{−9,−5,2,6,10Step-by-step explanation:

Answer:

Add 1 multiply by two

Step-by-step explanation:

As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.

Answer:

y=9x+9

Step-by-step explanation:

y=mx+c

You can use any of the 2 points

pnt1. (1;18)

pnt2. (3;36)

find the gradient

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

[tex]m = \frac{36 - 18}{3 - 1} [/tex]

[tex]m = \frac{18}{2} [/tex]

[tex]m = 9[/tex]

substitute one point and gradient to find c

y=mx+c

18=9(1)+c

18=9+c

c=18-9

c=9

therefore the equation is y=9x+9