The amounts of food waste generated in a region during two years were 37,500,000 tons and 30,400,000 tons. What was the total food waste generated over these two years in the region, expressed in scientific notation?

A. 67.9 ⋅ 1014 tons
B. 6.79 ⋅ 107 tons
C. 67.9 ⋅ 107 tons
D. 6.79 ⋅ 1014 tons

Answer:

y=-5x+30

Step-by-step explanation:

So negative 5x because you are taking five dollars out every x day so then plus 30 because since its slope intercept form y=mx+b and be is the y intercept then that should be your answer.

Answer:

It's D: 16

Step-by-step explanation:

Answer:

1. y= 2/3x + 4, and y = 2/3x - 1 are parallel

2. y = 1/3x - 3  and y = 2x + 5 are perpendicular

3. y =2/5x +4 and y = 0.2x - 1 are intersecting

4. y = -x + 13 and y = x-14 are perpendicular

Step-by-step explanation:

The equation of lines are solved and parallel lines are

a) y = 2/3x + 4 , y = ( 2/3 )x - 1

Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5

Intersecting lines

a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

y = 2/3x + 4 , y = ( 2/3 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 2/3

So , the slopes of the two lines are same and they are parallel lines

And , y = -( 1/2 )x - 3 , y = 2x + 5

The slopes are negative reciprocals of each other , so they are perpendicular lines

Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1

b) y = -x + 13 , y = x - 14

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

27

Step-by-step explanation:

this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right

Answer:

20 students

Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class

Answer:

Both groups need more boats

1.) 5x=36

36/5

=7.2 boats

2.) 7.2 but you can't split a boats nor can you decrease the amount of people so 8 boats.

3.)4x=24

24/4

=6 boats

I hope this helps u :)

using basic math I think it would be about 11 to 11 1/2 years

Answer:

It will take 8 years for the tree to reach 18 feet

Step-by-step explanation:

I wrote the equation 18=4+1.75x,that's all I know

Answer:

d

Step-by-step explanation:

took it on edg

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

First, we represent the mathematical statements as an equation or inequalities

Mathematically, the statements in the questions are:

Where x and y represents the two numbers

So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y

The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y

Read more about inequalities at:

https://brainly.com/question/25275758

#SPJ2

Answer:

-2m

Step-by-step explanation:

Total calories intake of Priti is 180.9 calories

Given that;

Number of calories in 100g banana = 84 calories

Number of calories in 100g yoghurt = 87 calories

Amount of banana and yoghurt Priti have = 60g and 150g respective

Find:

Total calories intake of Priti

Computation:

Total calories intake of Priti = 60[84/100] + 150[87/100]

Total calories intake of Priti = 50.4 + 130.5

Total calories intake of Priti = 180.9 calories

Learn more:

https://brainly.com/question/18087985?referrer=searchResults

Answer:

$P + 0.4P or 1.4P

Step-by-step explanation:

Given that:

Cost of dress pants = $P

Markup on cost price = 40%

The new retail price of a pair of dress pant :

(Cost price of the dress pant + markup on cost price)

$P + 40% of P

$P + 0.4P

New retail price = $P + 0.4P = 1.4P

Answer: Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Step-by-step explanation:

Let x = price of the Novel.

Price of Math Textbook = 8+3x

As per given , we have

Price of Math Textbook + Price of the Novel = $54

⇒ 8+3x+x = 54

⇒ 8+4x=54

⇒ 4x = 46     [subtract 8 from both sides]

⇒ x = 11.5

Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5

Hence, Price of Math Textbook= $42.5,  Price of the Novel= $11.5

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

Answer:

Step-by-step explanation:

2(k-5)+3k=k+6k=

We move all terms to the left:

2(k-5)+3k-(k+6k)=0

We add all the numbers together, and all the variables

2(k-5)+3k-(+7k)=0

We add all the numbers together, and all the variables

3k+2(k-5)-(+7k)=0

We multiply parentheses

3k+2k-(+7k)-10=0

We get rid of parentheses

3k+2k-7k-10=0

We add all the numbers together, and all the variables

-2k-10=0

We move all terms containing k to the left, all other terms to the right

-2k=10

k=10/-2

k=-5

Answer:

5

Step-by-step explanation:

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Answer:

Yes

Step-by-step explanation:

Because I can assist you hit my inbox

Answer:

help you with what?

Step-by-step explanation:

post the question and I am probably 90% sure I can answer it for you I just need to know what the question is . if you've already got it done then no need to answer back .

Answer:

English homework = 19/30h or 38 minutes

Total time spent = 22/15h or 88 minutes

Step-by-step explanation:

Mathematics homework = 5/6h

= 5/6 × 60

= 300/6

= 50 minutes

He took 1/5 h less to complete his english homework.

English = 5/6h - 1/5h

= 25h-6h/30

= 19/30h

= 19/30 × 60

= 1,140/30

= 38 minutes

English homework = 19/30h or 38 minutes

Total time spent on his homework = mathematics homework + English homework

= 5/6h + 19/30h

= 25h+19h/30

= 44/30h

= 22/15h

= 22/15 × 60

= 1,320 / 15

= 88 minutes

Answer:

y=2x-1

Step-by-step explanation;

First step you have to do is get you desmos graphing calculator

input the equation- 1/2x+4 when you put it you get your line

from there you have to find one of the equations from the answer choices which one is parallel from there input your four answer choices on your graphing calculator then look which of the equations is parallel to the equation -1/2x+4 when you do that you get y=2x-1

Hope this helps :)

Answer:

4

Step-by-step explanation:

Answer:

He brought 34 cookies to the fundraiser.

Step-by-step explanation:

1.25x + 25 = 67.50

1.25x = 67.50 - 25

1.25x = 42.50

x = 42.50/1.25

x = 34

Answer:

34 cookies in total.

Step-by-step explanation:

Well if he is selling cookies for $1.25 each and has a starter of 25$, we can already mark off 25$ from $67.50. Now it's just simple division, so 42.50/1.25 is 34 cookies being sold.

Answer:

Option D

Step-by-step explanation:

Option A

x² - 3x² + 2x² = 0

Therefore, the given polynomial has no roots.

Option B

x² + 2x + 8

By quadratic formula,

x = [tex]\frac{-2\pm \sqrt{4-32} }{2}[/tex]

  = [tex]\frac{-2\pm \sqrt{-28} }{2}[/tex]

Therefore, roots are imaginary and for a polynomial with degree 1 or more than 1, both the roots can't be imaginary.

So the polynomial can't have exactly two roots.

Option C

99x³ - 33x + 1

Since the polynomial is of degree 3, so it will have three roots.

Therefore, the polynomial will not have exactly 2 roots.

Option D

√2x - 3x² + 7√2

By quadratic formula,

x = [tex]\frac{-\sqrt{2}\pm\sqrt{(\sqrt{2})^2-4(-3)(7\sqrt{2} )}}{2(-3)}[/tex]

x = [tex]\frac{-\sqrt{2}\pm\sqrt{2+84\sqrt{2} )}}{(-6)}[/tex]

There are exactly two real roots.

Therefore Option D is the answer.

Option E

4x + 11x - 111

Since this polynomial is of a degree 1.

There will be only one root.

Answer:2:15 minutes is how long he hiked

Step-by-step explanation:

Answer: 2 hours and 15 minutes

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

7squared - 3squared

49-9= 40

square root of 40 = 6.3

Answer:

Step-by-step explanation:

[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]

The square of each real number is non-negative