find the area of the rectangle whose lengths 16cm and breadth is 8cm

Answers

Answer 1

Answer: Breadth? Did you mean width? If so, the answer is 128cm

Step-by-step explanation:

Area = Width x Length

8x16=128


Related Questions

Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z

2
x
y
=

Answers

The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

Expression: z − 2xy

Values: x = 3, y = -4 and z = -6

Substitute the known values in the above equation, so, we have the following representation

z − 2xy = -6 - 2 * 3 * -4

Evaluate the products

This gives

z − 2xy = -6 + 24

Evaluate the like terms in the equation

So, we have the following representation

z − 2xy = 18

Using the above as a guide, we have the following:

The solution is 18

Read more about equation at

brainly.com/question/2476251

#SPJ1

a) 3.2÷0.8 explain pls b) 7.5÷0.5 also explain pls​

Answers

3.2\0.8=4 7.5/0.5= 15

7.5 divided by 0.5 is the same as 7.5x2=15

gcf of 15 and 18 and -45

Answers

Answer: 3

Step-by-step explanation:

Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3



A certain statistic d is being used to estimate a population parameter D. The expected value of d is not equal to D. What property does d exhibit?

The sampling distribution of dis normal.

B

The sampling distribution of d is binomial.

с

The sampling distribution of dis uniform.

d is unbiased.

E

d is biased

Answers

Using the Central Limit Theorem for proportions, the correct option is:

E. The statistic is biased.

In plain English, what is the central limit theorem?

According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.

What is the central limit theorem and why is it significant?

Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.

                  Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.

Learn more about Central Limit Theorem

brainly.com/question/18403552

#SPJ4

Which planes contain point W? Select all that apply.
Multiple select question.
cross out

A)
plane B

cross out

B)
plane VWY

cross out

C)
plane VWX

cross out

D)
plane m

cross out

E)
plane RYV

cross out

F)
plane VWZ

Answers

The planes that contain point W from the given image are;

Plane V

Plane VWY

Plane RYV

How to identify planes?

A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.

From the attached image, we see that the planes whose name contains V also contains W.

The plane B contains the line XR and the Line YV as well as the W at the line YV.

Finally, the plane m also contains line YV and obviously the same as plane RYU.

Read more about Planes at; https://brainly.com/question/12227980

#SPJ1


A different computer is advertised as 30% off of the original price. After the discount, the tax is $78.75

• Determine the original price of this computer.

Show your work or explain your answer.

Answers

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

How to calculate original price of computer?

The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Here,

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Coupon = 30% off= 78.75

This means that the cost of the computer is only 70% since 30% is off.

70% = 78.75

We know that the original price is 100%.

So,

70% = 78.75

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x78.75

100% =112.5

The original price of the computer is 112.5

The amount saved is:

112.5-78.75=33.75

Thus,

The original price of the computer is 112.5

The amount saved is 33.75

To learn more about percentage refers to;

brainly.com/question/21290966

#SPJ1

noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?

Answers

Answer:

17

I wish you luck in your assignments.

Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles

Answers

y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.

Define cost function.

A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

Define cost.

Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.

y = 0.25x + 50

y = 0.3x + 40

The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.

They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.

They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.

To learn more about cost visit the link:

https://brainly.com/question/25811981

#SPJ1

You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this

Answers

The equations are n + s = 76 and 2n + 1.50 s = 125.

let n = number of Nachos sold

let s = number of sodas sold

Two equations are presented to us, and we can use them together to solve one variable at a time.

Eq. 1: n + s = 76

Eq. 2: 2n + 1.50 s = 125

So, s = 76 - n

Put (76 - n) for s in the second equation

2n + 1.50 (76 - n) = 125

2n + 114 - 1.50 n = 125

2n - 1.50 n + 114 = 125

0.5n + 114 = 125

0.5n = 125 - 114

0.5n = 11

n = 22

s = 76 - 22

s = 54

22 nachos sold and 54 sodas sold.

To learn more about equations here:

https://brainly.com/question/29657983

#SPJ4

What is the inverse of 9 by 7?

Answers

-9/7 is the inverse of 9/7.

-9/-7 = 9/7

9/7 + (-9/7) = 0

-9/7 is consequently the additive opposite of -9/-7.

By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The value that, when added to the original number, results in zero is known as a number's additive inverse. It is what we add to a number to make it equal to zero. Considering that an is the starting number, its additive inverse will be a minus one, or -a, such that;

a+(-a) = a – a = 0

To learn more about inverse here:

https://brainly.com/question/2541698

#SPJ4

In convex hexagon $ABCDEF$, all six sides are congruent, $\angle A$ and $\angle D$ are right angles, and $\angle B$, $\angle C$, $\angle E$, and $\angle F$ are congruent. The area of the hexagonal region is $2116(\sqrt2 1)$. Find $AB$.

Answers

The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

What is meant by convex hexagon?

All of the inner angles and all of the vertices must be smaller than 180 degrees for a convex hexagon. There are both regular and irregular convex hexagons.

There are no angles inside a convex hexagon. More specifically, no internal angle may exceed 180 degrees. Any internal angle that exceeds 180 degrees is concave.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

x = 46

Therefore, the value of AB exists 0.46.

To learn more about convex hexagon refer to:

https://brainly.com/question/20586914

#SPJ4

The area of the hexagonal region exists 2116(√2 + 1) then the value of AB is 046.

What is meant by convex hexagon?

A convex hexagon requires that all of the inner angles and all of the vertices be smaller than 180 degrees. Convex hexagons come in both regular and irregular varieties.

The interior of a convex hexagon is flat. No internal angle may be greater than 180 degrees, to be more precise. Concavity is defined as an interior angle greater than 180 degrees.

Let the side length be x

The diagonal BF = √(AB² + AF²) = √(x² + x²) = x√2.

Then the areas of the triangles AFB and CDE in total exists (x²/2) × 2, and the area of the rectangle BCEF equals x × x√2 = x²√2.

Let the equation be

2116(√2 + 1)  = x²√2 + x²

simplifying the above equation, we get

2116(√2 + 1)  = x²(√2 + 1)

2116 = x²

By taking root both sides,

x = 46

Therefore, the value of AB exists 0.46.

To learn more about convex hexagon refer to:

https://brainly.com/question/8496469

#SPJ4

Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.

Answers

On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.

What is probability?

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.

Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on each shelf?

Answers

There’s 9 on each shelf

Answer:

9

Step-by-step explanation:

27 divided by 3 equal 9

Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile

Answers

y = -25x + 2000
350 = -25x + 2000
-1650 = -25
x = 66 days

Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. How many packs of each type should she buy?


someone pls help

Answers

She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.

what is LCM ?

Least Common Multiple is referred to as LCM. The smallest number that is a multiple of both numbers is the least common multiple of the two. The first few multiples of each integer should be listed.

Look for duplicates that appear on both lists. Write out additional multiples for each number if the lists don't contain any common multiples. The least integer shared by both lists should be found. The LCM is this figure.

given

This entails determining the 16, 12, and 20 Least Common Multiples (LCM).

2⁴ = 16 = 2 * 2 * 2 * 2

2²*3 = 12 = 2 * 2 * 3

2²*3 = 12 = 2 * 2 * 3

2²*5 =  2 * 2 * 5

Keep in mind that LCM is the prime factorization of the involved integers multiplied by the highest power of each prime factor;

22 * 3 * 5 = 240.

She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.

To know more about LCM visit:-

https://brainly.com/question/20739723

#SPJ4

Ok last one! I tried everything im completely lost! Need help one more time.

Answers

Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90


90-57=33


Therefore 33 degrees is the answer


Please mark me the brainliest

h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?

Answers

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10

Answers

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5

20 h(x)=−x 2 8x20, determine the average rate of change of the function over the interval 0 ≤ x ≤ 5

Answers

The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

What is the average rate of change?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.

In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.

So, we can use the following formula:

Average rate of change = (h(5) - h(0)) / (5 - 0)

Now we have to substitute the values into the equation:

h(5) = -5^2 + 85 = -25 + 40 = 15

h(0) = -0^2 + 80 = 0

Average rate of change = (15 - 0) / 5 = 3

Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

To learn more about the average rate of change visit,

https://brainly.com/question/11627203

#SPJ4

WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT

Answers

The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³

The surface area of the cube is 24 cm ²

The total length of the edges of the cube is  24 cm

How to find the volume of a cube ?

The volume of a cube can be found by the formula :

= Side x Side x Side

This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.

The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :

= 2 x 1

= 2 cm

The volume is therefore :

= 2 x 2 x 2

= 8 cm ³

How to find the area of a cube ?

The surface area of a cube is:

= 6 x side ²

= 6 x 2 ²

= 24 cm ²

How to find the length of a cube ?

The total length of the edges would be:

= 12 edges on a cube x length of each edge

= 12 x 2

= 24 cm

Find out more on Cubes at https://brainly.com/question/28385746

#SPJ1

Find the area of a table top that is 3 1/3 feet by 2 feet

Answers

6.666666666666666 (6.6 repeating, I just don’t know how to use the sign online)

I multiplied 3 1/3 by 2

Student perform one trial of a cientific experiment if the reult of that trial do not upport the prediction what hould the tudent do next?

Answers

If the student perform one trial of scientific experiment , and the result of that trial do not support the prediction , then the student should repeat the experiment , modify the experiment and can use alternative Method .

If in the Scientific Experiment the result does not support the prediction of the student in one trial , then the student can :

(i) Modify the Experiment :

The students can modify scientific experiment in other way and try again. For Example, they student change variables being tested or methods used to collect data.

(ii) Use Alternative Explanations :

The students can use alternative explanations for  results. It may be possible that the prediction was correct, but there were other factors  that may influence outcome of experiment.

(iii) Repeat the Experiment :

The student can repeat the experiment by the same procedures to see if he gets same results and if results are consistent, it can concluded that the prediction was incorrect .

The given question is incomplete , the complete question is

Student perform one trial of a scientific experiment if the result of that trial do not support the prediction what should the student do next ?

Learn more about Scientific Experiment here

https://brainly.com/question/28531991

#SPJ4

PLEASE HELP THIS IS URGENT!!!!!! Decide which of the following points are on the graph of the function y=2x+1

Answers

(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

What is a graph, exactly?

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

what a graph example?

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

To know more about graph visit:-

brainly.com/question/17267403

#SPJ1

9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?







If anyone knows this please tell me this is due tommorow!​

Answers

Area = 1/2(base)(height)

36 = 1/2(base)(12)
36 = 6(base)
6 = base

The base is 6 inches long.

Answer:

Step-by-step explanation

The triangle base would be 6

Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

What is the first step for solving 2x 3 7?

Answers

the question is of set of equations and the solution is as follows,

the equation is 2x -3 = 7,

First, add 3 to each side to get

2x - 3 + 3 = 7 +3

2x = 10

x = 10/2

x =5.

equations

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For Example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Learn more about equations here :-

https://brainly.com/question/10413253?

#SPJ4

Indicated angles :

6. Find the measures of the indicated angles. Give reasons for your answers

Answers

Answer:

k\

Step-by-step explanation:

j

Which of the following is a factor of 2x^2 3x 5?

Answers

The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.

first, try to understand what is the factor of a quadratic equation.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.

2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5

3 can be written as 5-2.

2x^2 - 5x + 2x - 5

x(2x - 5) +1(2x-5)

(2x - 5)(x + 1)

So the factors is 2x -  5 = 0 or x  + 1 = 0.

2x - 5 = 0  , x = 5/2.

x + 1 = 0 , x = -1.

Given question is  incomplete complete  question here:

Which of the following is a factor of 2x^2 - 3x - 5?

To know more about factor here:

https://brainly.com/question/1863222

#SPJ4

The pairs of polygons below are similar. Give the scale factor of figure A to figure B.

1/8
2
1/4
8
1/2
4

Answers

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

what is polygon ?

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.

given

the scale factor of figure A to figure B

=  smaller dimension / larger dimension

= 2/16

= 1/8

and 4/8

= 1/2

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

To know more about polygons visit :-

https://brainly.com/question/10441863

#SPJ1

Please I need help with all four who or whom

Answers

Answer: 2=who

3=who

4=whom

5=I

Step-by-step explanation:

2) who
3) who
4) whom
5) me
Other Questions
HELP! WILL GIVE BRAINLIEST A woman was going for a stroll in a rural area. As she was walking along the road, she noticed an open field that she could cross over to reach a stream on the other side. The woman did not realize that the open field belonged to a farmer who lived adjacent to the field. If the farmer sues the woman for trespass to land, which of the following facts is necessary in order for the farmer to prevail?Answers:The woman caused damage to the field when she crossed it.The woman intended to commit a wrongful trespass on the farmer's land.The woman intentionally crossed the open field.The woman should have known the open field belonged to someone else. Devin purchased a container of sport drink that contains 300 calories. The label says that 80% of the calories are from carbohydrates. How many calories are from carbohydrates? What word would YOU use to describe theGreat War? Why? Find the area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches. which lines from the poem best devolop the authors idea that people should appreciate life because its short from the poem loveliest of trees, the cherry now What is similarity example? show that 2/4+1/4=3/4 and not 3/8 using pictures Which polynomial is prime?x3 + 3x2 -2x - 6x - 2x2 + 3x 64x4 + 4x3 - 2x - 2D 2x + x3 -x +2 evaluate the relative importance of various causes of civil war 3. Rosa Parks refused to give up her bus seat because she was tired of acceptingunjust treatment. What evidence from the passage supports this conclusion?A. "Rosa Parks had challenged the law and shown people far beyond her own town howcruel and unjust segregation could be, and she had won."B. "Rosa and the Montgomery Bus Boycott, as it has come to be known, sparked aseries of nonviolent mass protests in support of civil rights."C. "The Monday after Rosa's arrest, most black commuters walked to where theyneeded to go-some more than 20 miles."D. "People always say that I didn't give up my seat because I was tired, but that isn'ttrue. No, the only tired I was, was tired of giving in." What were the most important changes in everyday life from the 18th century to the 19th century? What main causes or agents drove these changes? Let AequalsPDP Superscript negative 1 and P and D as shown below. Compute Upper A Superscript 4. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column 3 2nd Row 1st Column 2 2nd Column 5 EndMatrix right bracket ?, Dequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column 0 2nd Row 1st Column 0 2nd Column 2 EndMatrix right bracket taylor swift music team helped take down tracks from her album 1989 that were what was concerning about Islam expansion How far does it move between t 1 second and t 2 seconds? What is the role of Article 2 in the presidency? A bag contains 10 pieces of paper, numbered 1 through 10with a different number on each piece of paper. A second bag contains 8 pieces of paper, numbered 20 through 27with different number on each piece of paper. One piece of paper is drawn random from each bag. What is the expected value of the sum of the numbers on the two selected pieces of paper What are the 4 factors that influence a purchasing decision? Why was the first food pyramid created?