find the sum. express your answer in simplest form 8m^2-6/n+3 + 9m^2-4/n+3

Answers

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have the following expressions shown in the problem above:

(8m^2-6/n+3) + (9m^2-4/n+3)

2. As you can see, they have equal denominators, then you have:

(8m^2-6+ 9m^2-4)/(n+3)

3. Therefore, when you sum, you have the following result:

(17m²-10)/(n+3)

The answer is: (17m²-10)/(n+3)

Related Questions

A prism is filled with 44 cubes with 1/2 units side lengths. What is the volume of the prism in cubic units?

Answers

The volume would be 5.5 cubic units.

First, we need to find the volume of one cube. It would be LWH.
0.5 x 0.5 x 0.5 = 0.125

Now, just multiply that volume by 44.
0.125 x 44 = 5.5

Which of the following is a characteristic of Euclidean geometry?

Answers

The parallel postulate is true?

Answer:

c. the parallel postulate is true.

Step-by-step explanation:

The owner of a bookstore predicts that 30% of the books she sells each week are self-help books. To test this prediction, the owner randomly selects 150 books out of the total number of books sold for a week and records the type of each book. The table shows the results of samples taken for 2 separate weeks. Sample Fiction History Cooking Self-help Total week 1 50 29 37 34 150 week 2 55 31 34 30 150 Based on these samples, is the owner's prediction correct? Select from the drop-down menus to correctly answer the question. The owner's prediction is . Based on the samples, about of the books sold each week are self-help books.

Answers

The owner's prediction is incorrect. About 23% of the books sold are self-help books.

34 out of the 150 sold in week 1 were self-help books.
34 out of the 150 sold in week 2 were self-help books.

This gives us 68 self-help books out of 300 books sold.

68/300 = 0.2267 ≈ 0.23 = 23%

Based on the samples, the owner's prediction of 30% is not correct; approximately 21.34% of the books sold each week are self-help books.

The bookstore owner predicts that 30% of the week's book sales are self-help books. To evaluate this prediction, we need to look at the number of self-help books sold in the samples provided for two separate weeks. In week 1, 34 out of 150 books sold were self-help books, which is 22.67%. In week 2, 30 out of 150 books sold were self-help books, which is 20%. To determine the average percentage of self-help books sold over the two weeks, we average these two percentages: (22.67% + 20%) / 2, which gives us 21.34%.

The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of the 3 terms?

Answers

let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10

The sum of square will be:
((10 - b)² + 10² + (10 + b)²) / 3 = 394
(100 - 20b + b² + 100 + 100 + 20b + b²) / 3 = 394
(300 + 2b²) / 3 = 394
(150+b²)=591
b²=441
b=-21,21

thus the numbers will be:
10-21, 10, 10+21
=-11,10,31

How many pounds of peanuts will each person get if 3 people share 1/5 pounds of peanuts equally?

Answers

3 people share 1/5 pound

1 person = 1/5 ÷ 3 = 1/5 x 1/3 = 1/15 pound

Answer: 1 person gets 1/15 pounds of peanuts.

Jamelia estimates the square root of 72 in the following way:
√72 = 2√36 = 2*6 = 12

(a) Explain why her reasoning is incorrect.

(b) Estimate the square root of 72 to the nearest tenth. Show your work.

Answers

Part a)
we have that
√72
√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2

alternative method
72 is equal to-------> 2³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2

Part b)Estimate the square root of 72 to the nearest tenth

we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5

the answer Part b) is 8.5

the goalie ate half of a pizza that had a diameter of 20 inches! what was the area of pizza that she ate? what was the length of crust she ate?

Answers

Area= pie • radius square

Since it’s diameter you divide it by 2 so it would 10. 10= radius, now does you multiply it by its self so 10•10= 100. Now multiply it but pie which it 3.14. 100•3.14= 314. 314 should be your answer!

Sorry if you get this wrong :( but I’m learning this and I usually get these right but best of luck! :)

Plzz help me im giving 12 points

Answers

this Is very simple.

30m + 50 = 20m + 100

This is the new equation needed to solve for m.
first we must isolate "m".

30m + 50 = 20m + 100
- 50 - 50

30m = 20m + 50
-20m -20m

10m = 50

divide both sides by 10 to isolate "m".

m = 5

hope this helps!

A circle has an area of 19 5/8 square units what is the radius of the circle

Answers

Area of circle = πr²

19 5/8 = πr²

r² = 19 5/8 ÷ π

r² = 6.25

r = √6.25 = 2.5 units

Answer: 2.5 units

the area of a circle can be tripled by multiplying the radius by what factor?

Answers

a whole circle = to 360 so you have to think of the radius to a factor for multiplying

By 1.73.

Because the formula for the area of a circle is [tex] \pi [/tex]×r².

So let us say the radius for circle A is 1. so area is equal to. [tex] \pi [/tex]×2²
which is equal to 12.56

Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699

Now, we make use of the equation solving skills.

The way to find the radius is.

A= [tex] \pi [/tex]×r²

So

√(A÷[tex] \pi [/tex])

So puting and solving the equations the factor of multiplication gives us 1.73

Fernando poured water from one-pint bottles into a three-gallon bucket. How many pints of water could the bucket hold?

Answers

24 pints is the answer

24

One gallon holds eight pints. 8 x 3 = 24

dividing whole numbers 22 divided by 300

Answers

Answer:

22 divided by 300 will be equal to 0.07333.

Step-by-step explanation:

Dividing 22 by 300

[tex]\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}[/tex]

[tex]\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}[/tex]

[tex]\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}[/tex]

The value of [tex]\frac{11}{15}=0.7333[/tex]

[tex]\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333[/tex]

So, the value of 22 divided by 300 will be equal to 0.07333.

Final answer:

Dividing 22 by 300 gives a quotient of 0.0733, representing the proportion of 22 out of 300.

Explanation:

To perform the division of the whole numbers 22 and 300, you simply divide 22 by 300 using long division or a calculator. However, since 300 is larger than 22, the result will be a decimal or fraction that is less than 1. Mathematically represented as:

22 ÷ 300 = 0.0733

In a real-world scenario, this number could be interpreted as the proportion or percentage of a whole that the number 22 represents out of 300.

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How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)

Answers

Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?

Let x = 49

(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147

Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write and solve an equation to determine the regular price of the book to the nearest cent

Answers

Final answer:

The regular price of the book is $8.96.

Explanation:

To determine the regular price of the book, we can set up an equation using the sale price and the regular price. Let's say the regular price is 'x'.

So the equation becomes:

8.96 = x

To solve for 'x', we can simply state that the regular price of the book is $8.96.

give the length and width in whole inches of three different rectangles that each have an area of 48 in. squared

Answers

To find the length and width of 3 different rectangles that have an area of 48 square inches, you can use the factor pairs that result in 48.

The reason is that to find the area of a rectangle you multiply two dimensions.

2 in x 12 in
3 in x 8 in
4 in x 6 in

On all these either one could be the length and the other the width.

Can please help!
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. Show your work

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

Please help......

1. Write an approximate equation of the line of best fit in slope-intercept form.

2. Use the equation from part B to predict the resting heart rate of a person who exercises 30 minutes per day. Show your work.

3. Explain how you found your answer to part C.

Answers

1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:

slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72

2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute

3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes

My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??

Answers

[tex]Grade=Paper+Other[/tex]
[tex]Grade=(Grade_{paper}\times Value_{paper})+(Grade_{other}\times Value_{other})[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times (1-30\%))[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times 70\%)[/tex]
[tex]Grade=0+53.9\%[/tex]
[tex]Grade=53.9\%[/tex]

help subtraction problem
5.30 - 3.75

Answers

1.55 is the answer to your question.

5.30 - 3.75 = 1.55. Have a great day

HELP NEEDED

Use the functions h(x) = 5x − 2 and t(x) = 4x + 6 to complete the function operations listed below.

Part A: Find (h + t)(x). Show your work.

Part B: Find (h ⋅ t)(x). Show your work.

Part C: Find h[t(x)]. Show your work.

Answers

Part A: Find (h + t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h + t)(x) = 5x − 2 + 4x + 6
(h + t)(x) = 9x +4

Part B: Find (h ⋅ t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h ⋅ t)(x) = (5x − 2) (4x + 6)
(h ⋅ t)(x) = 20x^2 + 30x - 8x - 12
(h ⋅ t)(x) = 20x^2 + 22x - 12

Part C: Find h[t(x)]. Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
h[t(x)] = 5(4x + 6) − 2
h[t(x)] = 20x + 30 - 2
h[t(x)] = 20x + 28

hope all help.

Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?

Answers

40+9x should be the equation

When two six-sided dice are rolled, there are 36 possible outcomes.

a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

Answers

A. 33/36 or 92% B. 26/36 or 72%

A. List the possibilities that do have a sum of 4. (1,3) (3,1) (2,2). 3/36. subtract 3/36 from the whole to get probability it does not have a sum of 4. 36/36-3/36=33/36 or 92%

B. List the possibilities if is less than or equal to 5 because it will be a smaller amount than if it is greater and subtract like we did in the previous problem. (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1). 10 total 36/36-10/36= 26/36 or 72%

Final answer:

The probability that the sum of two six-sided dice is not 4 is 11/12 or 92%. The probability that the sum is greater than 5 is 5/12 or 42%.

Explanation:

The subject of this question is probability, which is a branch of mathematics. When two six-sided dice are rolled, there are indeed 36 possible outcomes.

There are three possible ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability that the sum is not 4 is 1 - (3/36) = 33/36. This simplifies down to 11/12, and as a percent it rounds to approximately 92%.

There are 15 different combinations that result in a sum that is greater than 5. So the probability is 15/36, which simplifies to 5/12. This roughly translates to 42% when expressed as a percentage.

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A sample of 81 was taken from a population with a standard deviation of 45 kilograms. If the sample mean was 112 kilograms, the mean of any other sample of 81 will be within what range 99.7% of the time?

A. 97 kilograms to 127 kilograms
B. 102 kilograms to 122 kilograms
C. 92 kilograms to 132 kilograms
D. 107 kilograms to 117 kilograms

Answers

Sample size = n = 81
Population Standard Deviation = s = 45
Sample Mean = x = 112

Since, population standard deviation is known, we will use z distribution to find the confidence interval.

The critical z value for 99.7% is 2.968

So, the confidence interval will be:

[tex](112-2.968* \frac{45}{ \sqrt{81} }, 112-2.968* \frac{45}{ \sqrt{81} }) \\ \\ (97.16, 126.84)[/tex]

Rounding of to nearest integers the confidence interval will be 97 to 127.

So, option A gives the correct answer

How can we get the answer for...Decrease £8 by 20%

Answers

multiply by 0.8. do 8×.8

20/100 x 8 = 1.6
8-1.6= 6.4
therefore the answer is £6.40

It says in abc, What is m

Answers

The interior angle measures of a triangle add up to 180°.

Make ∠A + B + C = 180.

x + (4x) + (5x - 13) = 180
Add all like terms.

10x - 13 = 180
Add 13 to both sides.

10x = 193
Divide both sides by 10.

x = 19.3

Now plug in x into m∠C, (5x - 13).
5(19.3) - 13 = 83.5

The m∠C is 83.5°.

Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?

Answers

Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)

Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5

Answer:

7.5

Step-by-step explanation:

McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?

Answers

$1499 is the answer you multiply 100 by 15 then 100 by 29.99 and get 2999 and 1500. You subtract them together 2999-1500 to get 1499

Please help me with this!

Answers

Differences between x-values are 1. Differences between y-values are 2. The y-values are changing 2 times as fast as the x-values, so you are looking for an answer that involves 2x. The appropriate choice is
D. 2x + 3

_____
You can check this result:
for x=1: 2·1 + 3 = 5
for x=4: 2·4 + 3 = 11
These values correspond to those in the table.

Let's just list the coordinats first.
(1,5)
(2,7)
(3,9)
(4,11)

When you see 3 and 9, you sometimes immediately think it is 3x=y, but you have to look at the other coordinates as well. This can be show in option a, 5x=y. This can not be the anser because 3×5=15≠9. We can eliminate that answer. Option B says that you are adding 2, but when you add 2 to 4, it equals 6 and not 11. The same for C, 4 added to 4 equals 8, not 11.

The one left, D, is the answer. When you put each x value in, you do get the corresponding y value as well. To even make sure, I made a graph with 2x+3=y as the function to see if those values/coordinates would pop up.

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Answers

You can see the trapezoid in the picture I have attached.
The trapezoid is shown in the picture attached.

The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
   = (FN × h) / 2

We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.

The area of a parallelogram is given by the formula:
A(KLMF) = b × h
   = KF × h
               = 10 × h

We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20

Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30

Hence, KN is 30 units long.

Answer:

Step-by-step explanation:

Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are there to choose from?

9

20

120

Answers

We have that every background can be combined to any of the poses and each background yields a unique pose. So, for each unique background we get a 5 different photographs. Since there are 4 backgrounds, we get in total 4*5=20 photos. This can be generalized in other problems too; for example if there are 3 dinner dishes and 6 lunch dishes on a menu, there are 3*6=18 combinations.

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