The number of cans recycled per pund of aluminum recycled in the U.S increased at a relatively constant rate from 1972 to 2002. In 1977 about 23.5 cans per pound of aluminum were recycled. In 2000, about 33.1 cans per pound of aluminum were recycled. A.Write an equation that gives the number of cans recycled per pound of aluminum recycled as a function of the number of years since 1972. B.In 2002 there were 53.8 billion aluminum cans collected for recycling. Approximately how many pounds of aluminum were collected. Explain how you found your answer.

Answers

Answer 1

"A.Write an equation that gives the number of cans recycled per pound of aluminum recycled as a function of the number of years since 1972."

You can obtain an equation of this straight or almost straight line using the two data points (5, 23.5) and (8, 33.1). "5" represents 1977, 5 years after 1972.

The slope of the line thru these 2 pts is

33.1-23.5 9.6
m = ---------------- = ------- = 3.2
8-5 3

Then the equation of the line is y-23.5 = (3.2)(x-5).

Related Questions

What is an intersection point?

Answers

An intersection point is a point where two lines meet.

A point on a on two lines that are on the same plane that pass through each other
hope this helps

What is the value of p? 0.6441−(−0.29)=p

Answers

the value of P= 0.9341

Answer: p = 0.9341

Have a good day!

What is 2 (1/3) — -3 (2/3) = ?

Answers

2 (1/3) - -3 (2/3) = 6

I hope this helped you! c:

what is 4018 divide by 82

Answers

the answer is of 4018 divided by 82 is 49

4018 / 82 = 49

Hope this helps

What is the coefficient of the term x7y in the expansion of (x + y)8?

Answers

The coefficient means the number before the unknown so 8(x+y) would equal 8x+8y so the coefficient would be 8 and for x7y the coefficient of x is 1 because there is nothing infront of it and the coefficient of y is 7

How do I combine like terms? For example one problem is 32y + 5y = please explain.

Answers

Step 1: Combine the coefficients. 32y + 5y are coefficients. (means have the same letter basically)
SO 32y + 5y= 37y

You can't combine oranges with apples, just oranges with oranges and apples with apples. Think about it that way.

In this specific problem, the only thing you need to do is add those numbers together as they are like terms (both have y), you'd get 37y.

With a problem like 2 + 5x + 3 + x, you'd have to identify which are like terms and which aren't. The x's go together, and 2 and 3 go together. The result would be 5 + 6x, since you can't combine x and 5.

Hope I helped! :)

Carmen, Reuben, and Bob have a total of $133 in their wallets. Bob has 3 times what Reuben has. Carmen has $8 more than Reuben. How much does each have?

Answers

So you will want to form a few equations. The first one is:
C+R+B=133
Then you will want to form an equation for Bob:
B=3R
Then, another for Carmen
C=R+8

Knowing this information, you can plug each in, solving for R.

R+8+R+3R=133      Now Solve
5R+8=133               Subtract 8 from both sides
5R=125                   Divide 5 from both sides
R=25                       Now substitute R in for Carmen and Bob equations.

R=25                        Reuben has $25
C=8+25                    Add
C=33                        Carmen has $33
B=3(25)                    Multiply
B=75                        Bob has $75

Check answer:

25+33+75=133
133=133

I hope this helps!

How do you write 5.8 as a percentage

Answers

Multiply 5.8 by 100 to convert to percent:

5.8 × 100 = 580 %

580%, hope this helps!

Nathan and Sydney start out together on a bike trail that is 24 miles long. Nathan bikes at 88 miles per hour while Sydney bikes at 12 miles per hour. Which statement is true?

Answers

sydney is true because the bike trail is no longer than 24 miles

Sydney is true because 88 miles is longer than 24 miles

The Sharks have played 5 basketball games this season. Their scores are 65, 63, 67, 60, and 65. If they only score 30 points in their next game, what will happen to their MEDIAN score?

Answers

the median of the scores now is:

60 , 63 , 65 , 65 ,67

Median = 65

if the score 30, the median would be

30, 60 , 63 , 65 , 65 ,67

Median: 63 +65 = 128/2 = 64

The Median drops by 1

In their first five games their median would be 67 because it is the middle number. But if they score 30 points then you would have to add 67+60 and get 127. Then you divide 127 by 2 and get 63.5. The median would be changed to 63.5.

Let a and b stand for two different rational numbers. If |a| > |b| then what else must be true?

Answers

a is farther from 0 then b is

What is the value of 48x +35. When x=2

Answers

48x + 35
x = 2
plug in 2 for x
48(2) + 35
multiply 2 and 48 together
48 x 2 = 96
add the product (96) with 35
96 + 35 = 131
answer is 131

131 is your answer

hope this helps

48x + 35 = ?
48 x 2 + 35
96 + 35 =
131
I hope this helps
Please make me brainliest

A baker uses 30 grams of sea salt for each batch of bread. Sea salt comes in a 800 gram package. Which size package shoul the bake by so none is lef over?

Answers

a 2 liter bottle
because I just need a crown

according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be transformed into sound,heat,and mechanical energy.

Answers

According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!

The movie theater has 176 seats there are 9 roles of 18 sets plus and additional section of handcapped accessible seats

Answers

Final answer:

The question is asking about the number of seats in a movie theater with 9 rows of 18 seats each and an additional section of handicapped accessible seats. The total number of seats can be found by multiplying the number of seats in each row (18) by the number of rows (9) and adding the number of handicapped accessible seats.

Explanation:

The subject of this question is Mathematics. The question is asking about the number of seats in a movie theater, given that there are 9 rows of 18 seats each and an additional section of handicapped accessible seats.

To find the total number of seats in the theater, you can multiply the number of seats in each row (18) by the number of rows (9) and then add the number of handicapped accessible seats.

So the total number of seats in the theater is 9 rows x 18 seats/row + additional handicapped accessible seats.

25% of all the seats in the auditorium is 37 shares the total number of seats in the auditorium is

Answers

The number of seats in the first row is 18;
The number of seats in the second row is 18+2=20;
The number of seats in the third row is 18+2*2=22;
The number of seats in the fourth row is 18+3*2=24;
...
The number of seats in the nth row is 18+(n-1)*2.

Notice that if we knew the total number of rows we would be able to sum the number of seats in each row and get the total number of seats.

(1) The number of rows of seats in the auditorium is 27. Sufficient.
(2) The number of seats in the last row is 70 --> 18+(n-1)*2=70, where n is the number of rows. We can get n. Sufficient.

Answer: D.

Jenna read 25 pages of a book in 30 minutes at the same rate how many pages can she read in 3 hours

Answers

• Convert 3 hours into minutes: 3 x 60(minutes in an hour) = 180 minutes
• Divide to see how many times 30 minutes goes into 180: 180 ÷ 30 = 6
• Multiply: 25 x 6 = 150

So, Jenna can read 150 pages of a book in 3 hours. Hope this helps! :D

~PutarPotato

Please, please help!

Two straight lengths of wire are placed on the ground forming vertical angels if the measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? Explain your answer.

Answers

They need to add to 180 degrees

108 * 72 = 108 degrees

joseph is spending money daily and tory is earning money daily. which function represents joseph and which represents tory? explain your reasoning.

f(x)=4x+20 g(x)=80-2x

create a table of values for both

x f(x)
0
2
5
10
11

Answers

i cannot make a table but the one with subtraction is joseph's and the one with addition is tory's

Diana's painting statue she has 7/8 of a gallon of paint remaining each student requires 1/16 of a gallon of paint how many statues can she paint

Answers

Easy, first turn the factions into deciamls, then so 1.16-7.8=6.64. So, 6.64

create a slope that will be parallel to the slope provided which is 5/9 what is the parallel slope?

Answers

parallel lines have the same slope so 5/9 would be the answer

Answer:

The parallel slope would be 5/9

Step-by-step explanation:

Parallel lines have the same slope. So, if the original line had a slope of 5/9, the new line would also have that slope.

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet

Answers

6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3

Hi there.

So, we've got the dimensions.

l = 12, w = 8

We know that the width has been divided by 4. That means we also divide the length by 4. This gives us the new dimensions of:

l = 3, w = 2

A = lw

3 · 2 = 6 ft²

Cheers~

Quadrilateral ACEG≅ Quadrilateral MNPR

Which statement is true?

Answers

Line CE is congruent to line NP is the true statement.

What is the median and mode

Answers

Median is the middle number

60, 60, 65, 70, 70, 85, 90

70 is your median

mode is the number(s) that show up the most
60 and 70 is your mode, since they show up twice (one more than the others)

Range is largest number minus the smallest
90 - 60 = 30, 30 is your range

Mean is all the numbers added together divided by the number of numbers there are
60 + 90 + 65 + 70 + 70 + 85 + 60 = 500
500/7 = 71.42
Mean = 71.42

hope this helps

An architect makes a blueprint with a scale of one fourth inch equals 2 ft. Which will be the dimensions of the drawing of a warehouse room measuring 60 ft by 100 ft? Answer Options with 5 options A. 15 inches ''by 25 inches '' B. 7.5 inches ''by 12.5 inches '' C. 120 inches ''by 200 inches '' D. 480 inches ''by 800 inches '' E. 30 inches ''by 50 inches ''

Answers

Facts: scale .25"=2'
room 60'×100'

Equation: 60/2=30×.25=7.5
100/2=50×.25=10.5

Answer: B

The new dimension in inches is 7.5 inches by 12.45 inches. Hence, option B is correct.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

One fourth inch equal to 2ft.

Mathematically,

1/4 inch = 2ft

0.25 inch = 2ft

The given dimensions are 60 ft by 100 ft.

Now,

0.25 inch = 2ft

x inch = 60 ft

2x = (0.25 × 60)

x = 15/2

x = 7.5 inches

Then,

0.25 inch = 2ft

y inch = 100 ft

2y = 100 × 0.25

y = 25/2

y = 12.45 inches

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ2

Doug dives from a platform that is 5 meters above water. His dive takes him 2.6 meters below the surface of the water. How far does Doug's dive take him?

Answers

The total distance Doug dives from the platform to the under the water is 7.6 meters.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Doug dives from a platform that is 5 meters above the water.

His dive takes him 2.6 meters below the surface of the water.

∴ To find the total distance Doug dived we have to sum the height of the platform above water and the distance which he dived below the water,

= (5 + 2.6) meters.

= 7.6 meters.

learn more about numerical expression here :

https://brainly.com/question/14642484

#SPJ5

Find the length of each side

Answers

This can only be answered if we know that segments BG, CF, and DE are parallel. I don't see that written anywhere. I'll assume that is given.

To find GF:

AG is to AB as GF is to BC

AG/AB = GF/BC

20/16 = GF/12

5/4 = GF/12

4GF = 5 * 12

4GF = 60

GF = 15

To find FE:

AG is to AB as FE is to CD

AG/AB = FE/CD

20/16 = FE/8

5/4 = FE/8

4FE = 5 * 8

4FE = 40

FE = 10

120% of 33 is what number?

Answers

Change 120% into a decimal using the DP rule. D stands for decimal and P stands for percent. If you are trying to change a percent into a decimal then move the decimal spots two spaces to the right, but if you are changing a decimal into a percent then you move the decimal two spaces to the right. In this case we have to move the decimal two spaces to the left. Imagine in a percent that there is an imaginary decimal on the right of the 0 in 120 so when you move the decimal to the left it will become 1.20. Now multiply 1.20 and 33 which should give you an answer of 39.6 .

The answer is simply 39.6

The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.

Answers

If you're talking about the 'scientific notation', the answer would be (3.800000000000000000000000000, 26 zeroes.)

Answer: About [tex]\approx1.178\times10^{35}[/tex]

Step-by-step explanation:

Given : The sun produces[tex]3.8\times10^27[/tex] joules of energy per second.

It is also given that a year is approximately 31,000,000 seconds.

In scientific notation , it can be written as [tex]3.1\times10^7[/tex]

Then , the amount of energy is produced in a year will be :-

[tex]3.8\times10^{27}\times3.1\times\times10^7\\\\=3.8\times3.1\times10^{27}\times10^7\\\\=11.78\times10^{27+7}\\\\=11.78\times10^{34}=1.178\times10^{35}[/tex]

Hence, the amount of energy is produced in a year [tex]\approx1.178\times10^{35}[/tex]

Denise provides water for the runners at her schools 10K road race. She has a container that holds 678 ounces of water. How many 8-ounce cups can she fill with water?__________cups

Answers

divide total ounces by the amount each cup can hold

678 / 8 = 84.75

so they can fill 84 cups

678 oz/ 8 = # of cups she can fill

678/8 = 84.75

She can fill 84 cups

hope this helps

Other Questions

A staff nurse caring for a client with a head injury notes that the client is restless and pulling at the intravenous (IV) line. The clients primary health care providerdoes not want to prescribe sedation, and the family has requested that the client not be restrained. Which action by the nurse is best? Nurses who have continued their education in a specific field are called Explain why cells don't just continue to grow larger as organisms grow larger. why do cell divide? how did henry ford embrace progressive ideas? What is especially difficult when shooting high-definition video? Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is 7:3. If the book contains 500 pages in all, how many pages did Johnny reed and how many pages remain left? Why is there a delay between the ecg pattern and the resulting beat of the heart? Which form of government would have the MOST amount of citizen participation? According to the map, the largest empire in 1812 Atp is required to cause the power stroke in the myosin head. atp is required to cause the power stroke in the myosin head. a. True b. False How did the great awakening in the 1730's prepare the colonists for the american revolution? Under Canadas system of government, everyday political authority comes froma) the Crown.b)the Cabinet.c)the Parliament.d)the Prime Minister. Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? The sphere that consists of soil, sand, rocks and all structures comprising the land is the a. Hydrosphere b. Atmosphere c. Lithosphere d. Biosphere Does a reaction occur when an aqueous solution of nicl2(aq) is added to a test tube containing strips of metallic zinc? Who was the holy man that was allowed to see the messiah before he died an prophesied sorrow for mary? Which of the following best describes how you meet your energy needs A grocery store's receipts show that sunday customer purchases have a skewed distribution with a mean of $3030 and a standard deviation of $2121. suppose the store had 304304 customers this sunday. a) estimate the probability that the store's revenues were at least $9 comma 6009,600. b) if, on a typical sunday, the store serves 304304 customers, how much does the store take in on the worst 11% of such days? The function f(x) is shown in the graph.What is the equation for f(x)?Enter your answer in the box.f(x)=_______ How did the Magna Carta, English Bill of Rights, Mayflower Compact, and Thomas Paines Common Sense influence the colonists views of government? Steam Workshop Downloader