Mathematics Middle School

Find 9*4 1/3 mentally using the distributive property

Answers

Answer 1

13/4*9
117/4

Hope this was helpful :)

Related Questions

A rectangle has an area represented by x^2-4x-12 feet. If the length is x+2 feet, what is the width?

Answers

The width is (x-6)............

Just 14 and 15 please

Answers

14. The answer to this question is D, because if you think about a percent as over a 100, you can conclude that 59% = 59/100. Then, to get the total length, you multiply that percent by the overall length which is 40.

15. Same thing as above, and the answer is, again, D.

-4x-2(8x+1)=-(-2x-10)

Answers

-4x - 2(8x + 1) = -(-2x - 10)

The first step is to distribute. On the left side of the equation, multiply the -2 by both terms inside the parentheses; on the right side of the equation, multiply the -1 by both terms inside the parentheses:

-4x - 2(8x + 1) = -(-2x - 10)
-4x - 16x - 2 = 2x + 10

Next, combine like terms.

-4x - 16x - 2 = 2x + 10
-20x - 2 = 2x + 10

Then subtract 2x from both sides and add 2 to both sides to get like terms together; combine like terms.

-20x - 2 = 2x + 10
-20x - 2x = 2 + 10
-22x = 12

Lastly, divide both sides by -22 and simplify.

-22x = 12
x = 12/-22
x = -6/11

Answer:
-6/11

Prove that (n+1)^2 - (n-1)^2 is always odd for all positive integer values of n.

Answers

Let's try it this way.
Do you know how to expand a binomial squared? If you do here's one way to do it.
(n +1)^2 = n^2 + 2n + 1
(n - 1)^2 = n^2 - 2n + 1

Now put them together
(n^2 + 2n +1) - (n^2 - 2n + 1) Remove the brackets.
(n^2 + 2n + 1 - n^2 + 2n - 1
2n + 2n = 4n is what is left. What you have given us is always even.

To show (but not to prove) that the result is even, let n = 10
(10 +1)^2 - (10 -1 )^2
(11)^2 - (9^2)
121 - 81 = 40

Maybe if you start out with (say) n = 7 (an odd number) you might get an odd number.
(7 + 1)^2 - (7 - 1)^2
8^2 - 6^2 (doesn't matter what the answer is. It will be even.
64 - 36 = 28 and that is also even.

Nice question. Maybe because you are in middle school mathematics, this last proof is good enough. In any case, you will never get an odd result. Isn't that something? Thanks for posting.

Seventy-five bottles of water are randomly tested from the large inventory in a warehouse. Which term refers to the large inventory of water bottles in the warehouse? A) outlier B) parameter C) population D) sample

Answers

the answer is C population

Answer is c!!!!!!! Hope his helped like and rate

The number above the fraction bar in a fraction is called the?

Answers

Hello,

The answer is "numerator".

Reason:

The numerator is the top part of the fraction:

Examples:

4 <---Numerator
7

5<---Numerator
6

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Tamara need tiles to make a border for her bathroom wall.The border will be 9 feet long and 1/3 foot wide.Each tile measures 1/3 foot by 1/3 foot.Each box of tiles contains 6 tiles.How many boxes of tiles doe Tamara need?Write two equations that can be used to solve the problem.

Answers

Answer:

Step-by-step explanation:

Final answer:

Tamara needs 5 boxes of tiles to complete her bathroom wall border. The calculations involve finding the total area of the border, the area covered by one tile, and then determining the total number of tiles and boxes required.

Explanation:

To determine how many boxes of tiles Tamara needs for her bathroom wall border, we first calculate the total area of the border and then divide that by the area of an individual tile. The area of the border is obtained by multiplying its length by its width. Then, knowing that each box contains 6 tiles, we calculate how many boxes she needs.

The area needed = Length of border × Width of border = 9 feet × $1/3$ foot.Each tile covers an area = $1/3$ foot × $1/3$ foot.Therefore, the number of tiles needed = Total area needed / Area covered by one tile.Finally, the number of boxes needed = Number of tiles needed / 6 (since each box contains 6 tiles).

First Equation

Area of border = 9 × $1/3$ = 3 square feet.

Second Equation

Number of tiles = 3 / ($1/3$ × $1/3$) = 3 / $1/9$ = 27 tiles.

Therefore, the number of boxes needed = 27 / 6 = 4.5.

Since Tamara cannot purchase half a box, she would need to round up to 5 boxes in total to complete the border.

Write a real world problem using mixed numbers whose sum is 1 3/5

Answers

Soni, Ara, and Caty are making cookies. So far, Soni made 50 cookies. Ara made 40. Caty made 70. Write the sum of cookies out of 100. If the sum is over 100, create a mixed number. Simply it to it's the lowest term.

(50/100 + 40/100 + 70/100 = 160/100 -> 1 60/100 / 20/20 = 1 3/5.)

Final answer:

Sarah has 1 1/5 cups of nuts and must add 2/5 cup of dried fruit to make a total of 1 3/5 cups of trail mix.

Explanation:

Imagine Sarah is making a trail mix for a hiking trip. She already has 1 1/5 cups of nuts and wants to add more dried fruit to reach a total of 1 3/5 cups of trail mix. To find out how much dried fruit she should add, we can set up the equation:

1 1/5 + x = 1 3/5

Converting mixed numbers to improper fractions gives us:

6/5 + x = 8/5

Subtracting 6/5 from both sides, we find that x (the amount of dried fruit to be added) is:

x = 8/5 - 6/5

x = 2/5

Therefore, Sarah needs to add 2/5 cup of dried fruit to the nuts to make 1 3/5 cups of trail mix.

Which equation can be used to determine p, the cost of b swim bags? p = 7.50 + b b = 7.50 + p p = 7.50b b = 7.50p

Answers

Answer:

I think its p= 7.50b

Step-by-step explanation:

I picked p= 7.50 + b and b= 7.50 + p but they were both wrong so im assuming that its p= 7.50b

Answer:

Your answer would be C. p = 7.50b.

Step-by-step explanation:

Hope this helps!! :)

A CD usually sells for $14 if the CD is 30% off and still taxes 8% what is the total price of the CD including tax

Answers

The CD will cost $10.584
The 0.004 will likely round up to $10.59

Original price: $14.
30% of price = 30% * $14 = 0.30 * $14 = $4.20
Sale price: $14 - $4.20 = $9.80
Tax on $9.80: 8% of $9.80 = 0.08 * $9.80 = $0.784 round to $0.78.
Add tax to sale price: $9.80 + $0.78 = $10.58

Answer: The final price is $10.58

Sharon is building bookshelves for her room.She bought a board that is 10 1/2 feet long.If she cuts the board in three equal pieces, how long will each shelf be?

Answers

Each shelf would be 3 1/2 inches

Hey there!

To solve this you divide 10 1/2 by 3:

10 1/2 = 21/2
3 = 3/1

21 x 1 = 21
2 x 3 = 6

21/6 is the answer, but when we simplify it we get 3 1/2 as our final answer.

Each shelf will be 3 1/2 feet long.

Hope this helps you.
Have a great day!

what is 6.7086 rounded to the nearest tenth

Answers

Hello!

Decimals used to confuse me a lot! :D

When a question asks to round the decimal to the "nearest tenth", it simply means to round it to one decimal place.

6.7086 would be rounded to 6.7 if we round it to the nearest tenth. See, the 7 is in one place after the decimal point.

The best way to understand decimal places, in my opinion, is to search up a tenths, hundredths, thousandths, etc. chart. Hope this gave you a better understanding of decimal places!

Evaluate
12P3

and
10C4

Answers

12P3 =1320
10C4 = 210

The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The value of the expression ¹²P₃ is given as,

¹²P₃ = 12! / (12 - 3)!

¹²P₃ = 12 x 11 x 10 x 9! / 9!

¹²P₃ = 1,320

The value of the expression ¹⁰C₄ is given as,

¹⁰C₄ = 10! / [(10 - 4)! x 4!]

¹⁰C₄ = 10 x 9 x 8 x 7 x 6! / (6! x 4 x 3 x 2 x 1)

¹⁰C₄ = 10 x 3 x 7

¹⁰C₄ = 210

The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ6

How do I fill this table in?what are the answers?
its to plot a graph.
plz show working!

Answers

Substitute “x” for the number on top.
So, instead of -2.5x -> -2.5(-6).

-2.5(-6)/6 = 15/6 = 2.5
-2.5(-3)/6 = 7.5/6 = 1.25
-2.5(0)/6 = 0/6 = 0
-2.5(3)/6 = -7.5/6 = -1.25
-2.5(6)/6 = -15/6 = -2.5

Hope this helps!

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Number 3 part A and B
And number 4

Answers

the answer to 3a is .25 grams and it is because 0.001 times 250 equal .25. and milli is the 0.001
the answer to 3b is 3500 milligrams and it is because 3.5 times 1000 equals 3500.
the answer to 4 i dont know for sure what it is because i cant see the bottom of the carton picture.
PLEASE MARK AS BRAINLIEST

How many different ways can five dolls be arranged?
13
12
120
150

Answers

We are given

total number of dolls =5

and there are five spaces only to be arranged in

In first space:

Any five dolls can be put in

so, number of ways of putting dolls in first space is 5

In Second space:

One doll is already put in first space

so, only four dolls can be put in

so, number of ways of putting dolls in second space is 4

In Third space:

One doll is already put in second space

so, only three dolls can be put in

so, number of ways of putting dolls in third space is 3

In Fourth space:

One doll is already put in third space

so, only two dolls can be put in

so, number of ways of putting dolls in fourth space is 2

In Fifth space:

One doll is already put in fourth space

so, only one dolls can be put in

so, number of ways of putting dolls in fifth space is 1

so, total number of ways five dolls can be arranged

[tex] =5*4*3*2*1 [/tex]

[tex] =120 [/tex].................Answer

Answer:

120

Step-by-step explanation:

just a simple awnswer for those imapatient peeps

marcela made 4 out of 16 free throws. write the fraction of free throws she made in simplest form

Answers

Answer:

1/4

Step-by-step explanation:

Final answer:

The fraction of free throws Marcela made in simplest form is 1/4.

Explanation:

Marcela made 4 out of 16 free throws. To express this fraction in simplest form, we divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor. In this case, the greatest common divisor of 4 and 16 is 4.

To simplify the fraction:

Divide the numerator (4) by 4, which equals 1.Divide the denominator (16) by 4, which equals 4.

Therefore, the fraction of free throws Marcela made in simplest form is 1/4.

The ratio table shows the depths of water in a fish tank for different numbers of gallons. Find the unit rate in inches per gallon. Give your answer in decimal form.

Answers

how dos3es it want it in decimsal form there are a couple ways in decimal form at list i was tought

Answer:

0.5

Step-by-step explanation:

Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15 cm 15 cm Note: Figure is not drawn to scale. What is the length of the string? A. 78 centimeters B. 102 centimeters C. 39 centimeters D. 51 centimeters

Answers

es el literal A 78 centimetros

Which point is the solution to the following system of equations

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(3,2). 3^2 + 2^2 = 13 2(3)-2= 4 Works for both, hence this is the intersecting point of the two lines.

23,009,018 word form

Answers

Twenty three million, nine thousand, eighteen

Twenty Three million nine thousand eighteen. I hope this helped:)

Which answer describes the type of sequence? 99, 89.9, 78.8, 68.7, ... a)geometric

b)arithmetic

C)neither arithmetic nor geometric

Answers

c. neither arithemtic nor geometric

ANSWER

C)neither arithmetic nor geometric

EXPLANATION

The given sequence is

[tex]99,89.9,78.8,68.7,...[/tex]

Let us check to see if there is a constant difference.

[tex]89.9 - 99 = - 9.1[/tex]

[tex]78.8 - 89.9 = - 11.1[/tex]

The two difference are not the same.

Since there is no constant difference, the sequence is not arithmetic.

Let us check to see if there is a common ratio,

[tex] \frac{89.9}{99} = \frac{899}{990} [/tex]

[tex] \frac{78.8}{89.9} = \frac{788}{899} [/tex]

Since the ratio is not the same,the sequence is not geometric too.

The sequence is neither arithmetic nor geometric.

The correct answer is C

Which properties did Jacques use to solve the following problem? (You may select more than one answer)
1 x (6 + 28)
(1x6) + (1x28)
6 +28
34
1.Distributive Property
2. Identity property of addition
3. Assoc property of addition
4. Identity property of multilpilication

Answers

distributive property and identity property of multiplication

Answer: Your answer is 1. and 4.

Step-by-step explanation:

Mark me brainliest.

In the triangle m∠1 = 42°, and m∠4 =81°. What is m∠2°?

Question 5 options:

39°

99°

42°

132°

Answers

Final answer:

To find the measure of angle 2 in the given triangle, subtract 180 degrees from the sum of the other two angles.

Explanation:

To find the measure of angle 2 in the given triangle, we need to use the fact that the sum of angles in a triangle is always 180 degrees.

Thus, Angle 3 can be found by subtracting angles 1 and 2 from 180 degrees: Angle 3 = 180 - 42 = 138 degrees.

Finally, Angle 2 can be found by subtracting Angle 3 and Angle 4 from 180 degrees: Angle 2 = 180 - 138 - 81 = 39 degrees.

Learn more about Triangle angles here:

https://brainly.com/question/38452860

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solve: 2x+6-10x=30

PLEASE ANSWER CORRECTLY WILL MARK AS BRAINLIEST ANSWER
(dont do it just for points or i will report u)

Answers

the answer will be -3

What is the volume of an aquarium that is 2 yards wide, 1.5 yards deep, and 1 1/3 yard long?

Answers

The volume would be 4 yards

I did 2 x 1.5 x 1 1/3

I made them fractions, multiplied, and then simplified

A right triangle has a vertex at point M and a height of 6 units. The base of the triangle is on MN←→− and is 2 units long. One of the vertices of the triangle is at M. Use the Polygon tool to draw the triangle. Each segment on the grid represents 1 unit.

Answers

Answer: go left 5 spaces from point M and go down 2 spaces from point M.

i ended up getting the answer wrong but the green outline from the dots shows what the correct answer is.

Answer:

Here's what I got. The red color is incorrect. Follow the yellow one.

James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?

Answers

Your answer would be 1.00$ because if you subtract all that is given from the problem you get 10-9, which equals 1.

They will recive 1.56

the solution for which of the following requires use of absolute value?
a: At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.
b: A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?
c: If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?
d: Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

Answers

Part a) At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.

we know that

raised money=total vehicle*[$5+absolute value($3-$5)]
raised money=20*[$5+absolute value(-2)]
raised money=20*[$7]
raised money=$140
the answer Part a) is $140

Part b)A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?

step 1
divide $1500 by 12
1500/12=$125/month

if $125 is ------------> 10%
x------------------> 100%
x=100*125/10-----> x=$1250

the answer Part b) is $1250

Part c)If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?

multiply $3.50 by 8.2 gallons
3.5*8.2=$28.7

the answer Part c) is $28.7

Part d) Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?

we know that
speed=distance /time
distance=13.1 miles
time=2 hours and 4 minutes----> 2+(4/60)---> 2.07 hour
time=2 hours and 4 minutes----> 2*60+(4)---> 124 minutes
speed=13.1/2.07----> 6.33 miles/hour
speed=13.1/124----> 0.106 miles/minutes

the answer part d) is 6.33 miles/hour or 0.106 miles/minutes

The solution to problem a) requires the use of absolute value

Answers
a). Minimum =$160
Maximum =$200
b). $410.96
c). $28.7
d). 0.105645161 miles per minute.

Explanation a.
For the first statements (a) there would be no absolute value. It is a range.
There are 20 vehicles, each washed at $5.
$5×20=$100
If there are 20 vehicles then there are 20 drivers.
$3×20=$60 or $5×20=#100
Total amount of money raised
(60+100) to (100+100)
Minimum =$160
Maximum =$200

Explanation b
Let x be her daily sales. There are 365 days in one year.
Donation for one day = 10% of x = 0.01x
Donation for 1 year =0.01x×365=3.65x
3.65x=1500
x=410.96
Donation for 1 day = $410.96

Explanation c.
Cost of 1 gallon = $3.50
Cost of 8.2 gallon = $3.50×8.2=$28.7

Explanation d.
Marissa runs 13.1 miles in 2 hours and 4 minutes
That is to say that she runs 13.1 miles in ((2×60)+4) minutes.
((2×60)+4)=124 minutes.
speed=distance/(time taken)
speed=13.1/124=0.105645161 miles per minute.

This figure is made up of a rectangle and parallelogram.

What is the area of this figure?

Enter your answer in the box. Do not round any side lengths.

Answers

Area of Rectangle = 39
Total Area= 51
Length=3/13
Width= /13
Area of Parallelogram= 12

This figure is made up of a rectangle BDFE and parallelogram ABCD.

The area of this figure= Area of BDFE+Area of ABCD

Area of parallelogram=base*height and Are of rectangle= length*Width

So, Area of ABCD= CD*BH

And, Area of BDFE=BD*DF

area of this figure= BD*DF+CD*BH

From the figure CD=4 and BH=3

To find BD, Let us apply Pythagorean theorem, [tex] hypotenuse^{2} =adjacent^{2}+ opposite^{2} [/tex], to ΔBHD

[tex] BD^{2} =HD^{2}+ BH^{2} [/tex]

HD=2 and BH=3

[tex] BD^{2} =2^{2}+ 3^{2} [/tex]

[tex] BD^{2} =4+ 9=13 [/tex]

[tex] BD=\sqrt{13} [/tex]

To find DF, Let us apply Pythagorean theorem, [tex] hypotenuse^{2} =adjacent^{2}+ opposite^{2} [/tex], to ΔBHD

[tex] DF^{2} =DG^{2}+ GF^{2} [/tex]

DG=6 and GF=9

[tex] DF^{2} =6^{2}+ 9^{2} [/tex]

[tex] DF^{2} =36+ 81=117 [/tex]

[tex] BD=\sqrt{117}=3\sqrt{13} [/tex]

[tex] BD=\sqrt{13} and DF=3\sqrt{13} [/tex]

area of this figure= BD*DF+CD*BH

area of this figure= [tex] \sqrt{13} [/tex]*3[tex] \sqrt{13} [/tex]+4*3

area of this figure=13*3+12

area of this figure=39+12=51

Area of this figure=51 square units

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