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?
Evaluate
12P3
and
10C4
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.
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Prove that (n+1)^2 - (n-1)^2 is always odd for all positive integer values of n.
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.
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.
What is the volume of an aquarium that is 2 yards wide, 1.5 yards deep, and 1 1/3 yard long?
Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally. Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets (___)
muffins.
the total number of mini muffins Carmine gets is 4.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally.
In first group,
Each student will get = 12/8
Each student will get = 3/2 mini muffin
In second group,
each student will get = 15/6
each student will get = 5/2
Since, carmine is in both the groups,
She will get = 5/2 + 3/2
Carmine will get total mini muffin = 8/2 = 4
Therefore, Carmine will have 4 muffins for herself.
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How many different ways can five dolls be arranged?
13
12
120
150
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
Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L
i belive the answer is c
Answer:
Whats up? Its c
Step-by-step explanation:
The number above the fraction bar in a fraction is called the?
Which point is the solution to the following system of equations
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.
Answer:
e
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.
solve: 2x+6-10x=30
PLEASE ANSWER CORRECTLY WILL MARK AS BRAINLIEST ANSWER
(dont do it just for points or i will report u)
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
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!! :)
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
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°
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.
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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.
Answer:
0.5
Step-by-step explanation:
Solve the problem. Use 3.14 for 4072-07-02-02-00_files/i0170000.jpg, and round your answer to the nearest tenth.
The foundation for a fountain is a cylinder 19 feet in diameter and 5 feet high. How much concrete is needed to pour the foundation?
a.
2833.9 ft3
b.
5667.7 ft3
c.
1416.9 ft3
d.
596.6 ft3
The amount of concrete that is required to fill the fountain is given as 1433.61 ft³. None of the options is correct.
What is a right circular cylinder?A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.
The height of fountain is 5 feet.
And, the diameter is 19 feet.
Then, the radius is given as 19/2 = 9.5 feet.
The amount of the concrete filled is equivalent to the volume of cylinder given as,
Plug h = 5 and r = 9.5 in V = πr²h as below,
⇒ V = 3.14 × 9.5² × 5 = 1433.61
Hence, the amount of concrete is given as 1433.61 ft³.
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A rectangle has an area represented by x^2-4x-12 feet. If the length is x+2 feet, what is the width?
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Number 3 part A and B
And number 4
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?
Just 14 and 15 please
-4x-2(8x+1)=-(-2x-10)
23,009,018 word form
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
Which answer describes the type of sequence? 99, 89.9, 78.8, 68.7, ... a)geometric
b)arithmetic
C)neither arithmetic nor geometric
Order the set of numbers from least to greatest: negative 5 over 6, negative 5, negative square root 26, negative 31 over 6
Your calculator can be of great help here.
-5/6 = - 0.833333
- 5
- sqrt(26) = - 5.09
- 31 /6 = - 5.1666
Rule: the "larger" the number numerically in the minus region, the smaller the number actually is. Think money. Which would you rather be - 1000 dollars or - 100 dollars. Well you may say neither, but you have to choose. I would rather be just 100 dollars in debt which is - 100 from my point of view.
So the order from smallest to largest is
-31/6, -sqrt(26), -5, -5/6
Remember that -5/6 is 83 cents in debt.
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.
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
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?
Find the diagram a || b
marcela made 4 out of 16 free throws. write the fraction of free throws she made in simplest form
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.