Mathematics Middle School

Find the value of [tex]\frac{a^{2} }{a^{4}+a^{2}+1}[/tex] if [tex]\frac{a}{a^{2}+a+1}[/tex] = [tex]\frac{1}{6}[/tex]. Please show all work.

Answers

Answer 1

1/a^2+a+1 put in fraction form

Answer 2

Answer:

1/36

Step-by-step explanation:

notice the first equation is the second equation squared.

For instance, look at the numerator: a squared is a^2

Look at the denominator: a^2 squared is a^4 and so on.

So if the second equation is 1/6, then you need to square it to have it equal the second equation: (1/6)^2 = 1/36

Related Questions

Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost.

1. What was Al's equation and what was Barbara's equation?

Ears of corn for Al is: 6, 14, 21 and ____.
How much it cost is: 1.50$,___,___ and 50.00$

Ears of corn for Barbara's: 13, 14, 21 and ___.
How much it cost: 13.12$,___,___ 49.92.

(The underlines mean blank BTW. And I will give brainliest)

Answers

First equation is 6/$1.50
200
$3.50, $5.25

208
$3.36,5.04

The equation for AI's stand is 6C = $1.5 and for Barbara's stand is 13C = $3.12.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12.

The expressions can be written as:-

AI's stand is,

6C = $1.5

Barbara's stand is,

13C = $3.12.

To know more about an expression follow

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(Giving Brainliest) Photo is below

Answers

Answer: D

Step-by-step explanation:

At a petting zoo, there are 2 chickens, 4 deer, 3 donkeys, and 6 goats. What is the ratio of goats to the total number of animals written in simplest form

Answers

There would be 6:9

Answer:

2:5

Step-by-step explanation:

There are 6 goats and 9 other animals, with a total of 15 animals, which gives us 6:15. The simplest form that 6:15 can be is 2:5. Hope this helps!

Shirts are on sale for 20%.You buy 2 of them. As you pay, the cashier says, “20% off of each shirt means 40%off the total price.” Do you agree or disagree? Please explain thoroughly.

Answers

Answer:

disagree

Step-by-step explanation:

you don't go to a store that has shirts on sale for 20 percent off and buy 2 shirts and get 40 percent off you get 20 percent off of your total

HURRY PLS!!! DUE TODAY!!!!

Answers

the form is y=mx+b so i think the answer would be y=4x+ -3

The answer would be Y=4x-3 because you find a point you go up 4 and over 1 it’s -3 because you go through-3 on the y axis

In her science classroom Jane noticed that the lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx, where x is the length and y is the weight. Use the information in the table to find k, the constant of proportionality?A.25.0 B.27.5 C.30.0 D.32.5

Answers

Answer:

Step-by-step explanation:

multiply by 2 then add half of the original number

The constant of proportionality(k) is 5/2 and the corresponding weight is

30 ounces for 12 inches.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The lengths (in inches) and the weights (in ounces) of the class's pet snakes were directly related by the equation y = kx.

Now, when x = 6, y = 15

15 = 6k.

k = 15/6.

k = 5/2.

Now, when length(x) is 12 then,

y = 12(5/2).

y = 30.

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Please hurry dont have much time thxs

Answers

I’m sorry I don’t know how to help with that. I’m sure if you look up volume of shape calculator something might come up but I’m not 100% sure

why do we learn properties of real numbers?

answer quick :D

Answers

Answer:

The properties of the Real Number System will prove useful when working with equations, functions and formulas in Algebra, as they allow for the creation of equivalent expressions which will often aid in solving problems. In addition, they can be used to help explain or justify solutions.

Understanding the properties of real numbers will help us simplify numerical and algebraic expressions, solve equations, and more as you progress in studying algebra. In other words, the properties or axioms of real numbers are just one of many basic foundations of mathematics

in an experiment, the temperature of a solution is -7/8 °F. The temperature drops 1 1/2 °F. What is the temperature after the drop? What is the common denominator of -7/8 and
1 1/2

Answers

Answer:

Step-by-step explanation:

The answer is gonna be 8:

1 : (+61)×(-28)=

2:(-36)÷(+6)=
3:(+87)+(+15)=
4: (+2)-(+96)=
5:(+60)÷(-3)=
6 :(+15)-(20)=
(+2)-(+7=
(+65)×(-20)=

Answers

1) -1,708
2) -6
3) 102
4) -94
5) -20
6) -5
7) -5
8) -1,300

Hope this helps!

If A. is a negative rational number and B. is a positive rational number, which of the following must be true? Give an example for the statements that are true and a COUNTEREXAMPLE for the statements that are false.
A. a - b is a positive
____________________________________
B. b - a is a positive
____________________________________
C. b + (-a) is a negative
____________________________________
COUNTEREXAMPLE : its a theory HELP MEEEEE PLES

Answers

Answer:

A. False

B. True

C. False

Step-by-step explanation:

hope this helped

A is false
B true
C false

At a grocery store, you want to buy 1 (9 /10) lb of turkey. What decimal should the digital scale show?

Answers

Answer:

4.7 lbs i think my brutha

Step-by-step explanation:

Refer to the graphic novel frame above

Answers

Answer:

1. 51.2

2. 1080

3. 605.75

4. 273.48

What question do you need? I answered 1 - 4.

I hope this helps! :)

Can someone help me with these

Answers

Sorry but I don’t think I can help you with this

The price of one share of a stock fell $4 each day for 8 days. By how much did the value of the stock change in the time period?

A. $32
B. $24
C. -$24
D. -$32

Answers

Answer:

D. -$32

Step-by-step explanation:

Multiply 4 by 8. If the stock went down, it would be -$32.

D (-32)

$4 multiplied by 8 days (4x8) would be $32, and since the stock is falling it would be -32

Surface water has no relationship to groundwater since it is formed in different parts of the watershed. True or False?

Answers

the answer to this question is true

Answer:

true

Step-by-step explanation:

please help me with this IXL i only have an hour like i said on my last question and please tell me how to get the answer so i can do the IXL on my own plz!

Answers

It is y=2x-6. Anymore questions?

Answer:

y=2x-6

Step-by-step explanation:

The slope of a line shows the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

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Answers

take 9 away from 15 then add what ever number you got to 6 for x

First step is take 9 away from 15 then second step is to add any number you got 6 from x

Cheddar cheese costs $4.50 per pound at the deli counter. Which equation best represents y, the total cost of x pounds of cheddar cheese?

Answers

Answer:

4.50x=y

Step-by-step explanation:

Answer:

4.50x=y

Step-by-step explanation:

Please help :(,,,,,.......

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

hey you...yes you right there... i need your help like right now pleaseee

Examine the two-step equation.

Which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

Answers

Answer:

the answer is 28!

The answer is 28 exactly

continue to halllllllllp

Answers

Answer:

Step-by-step explanation:

........................

THREE milkshakes cost $9.75. At this rate, how much do TWO milkshakes cost? * THE CHOICES ARE: $6.50,$3.25,$3.75,$4.88, CHOOSE ONE PLEASE TELL ME WITH PROOF.

Answers

Answer:

6.50

Step-by-step explanation:

9.75 divided by 3 = 3.25 each milkshake is 3.25 so 3.25 x 2 = 6.50

Answer:

6.50

Step-by-step explanation:

9.75 divided by 3 is 3.25 times that by 2 then you get 6.50

IM WASTING MY POINTS REEEEEEEE bUt help

Answers

Answer:

That is too tiny for me to see.

Step-by-step explanation:

Maybe edit this and zoom in a little bit.

Answer:

I think the answer is B. but if you get it wrong i'm sorry i don't know for sure

Step-by-step explanation:

Plz mark brainliest

A.10;37°

B.17;53°

C.10;53°

D.14;37°

Answers

A I’m pretty positive

I think it is D or A

plz help me plz help me plz plz plz

Answers

what’s the question?

Pls answer 2 algebra 1 questions for 25 points tank u.

Answers

-45<48

-6>2

I GOT IT RIGHT ON THE TEST

rearrange the expression 3 tens 3 ones 2 tenths using the Commutative Property so the terms with the same place value are next to each other.

Answers

Answer:

70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)

Step-by-step explanation:

Can anyone help with this? Its only a picture, and don't say "IDK", it is also due tonight.

Answers

Answer:

I believe it would be y = 5x

Please let me know if I've done something wrong :)

Answer:

Y=5x

Step-by-step explanation:

y=mx+b

m=slope

the slope is 5/1

b=yintercept

the y intercept is at 0,0

y=5x

Please help! I with give
There is no answer choices

Answers

Answer:

B=5

Step-by-step explanation:

25/5=5

I don´t know about scale factor so I will also say 5

Answers:

Scale factor = 1/5B = 5

===========================================

Explanation:

Look at the left most sides of each figure. Dividing the smaller side over the larger leads to 7/35 = (1*7)/(5*7) = 1/5. This is the scale factor. It means the blue figure's side lengths are 1/5th of the orange figure's corresponding side lengths.

So that explains why your teacher put A = 20(1/5) = 4

Multiplying the orange side lengths by the scale factor gets you the blue side lengths.

Now focus your attention on the far right most side lengths of 25 and B

We can see that B = 25(1/5) = 5 feet.

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