Pine Lane Middle School's student council has 10 seventh graders and 8 eighth graders serving as representatives. A subcommittee containing 3 seventh graders and 3 eighth graders is formed to organize a student dance. How many different subcommittees can be formed
Hey there! I'm happy to help!
When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.
It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.
So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.
10×9×8=720
Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are 6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.
720/6=120
Now, we need to find this with the eighth graders.
8×7×6=336
And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)
336/6=56
Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.
120×56=6720
So, there are 6720 subcommittees possible.
Have a wonderful day and keep on learning! :D
what's 14 1/4 in lb into ounces
Answer:
228
Step-by-step explanation:
We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.
14 1/4 or 14.25
14.25 * 16
==> 228
Meaning there are 228 ounces in 14 1/4 pounds
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is the measure of
Answer:
try D
Step-by-step explanation:
If ram have 30 apple& each apple rs is 26 . 14 are rotten .he had eat 9 apple. 6 apple he sold each price 35 . Now say me ram have got profit or loss.
Answer:
Profit
Step-by-step explanation:
30*26
14*26
9*14
6*26*30
what is the answer for 7 to the negitive second power.
Answer:
the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal
Are you asking about [tex]7^{-2}[/tex] ?
If so:
A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:
[tex]7^{-2}[/tex] =
[tex](\frac{1}{7})^{2}[/tex] =
[tex]\frac{1}{49}[/tex],
So our answer is 1/49.
HELP ASAP HOMEWORK FOR TMR!!!!
Answer:
A. 6.75, divide 13.5 by 2.
B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5
!This is the first part!
Find the commission on a sale of $600 with a 5% commission rate.
Answer: $30
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
10% of 600 = 60
5% of 600 = 30
How many solutions does the system have?
x+y=3
5x+5y=15
hope it is help full
Step-by-step explanation:
mark me a brainlist
Someone help plsssss
the table of values below represents a liner function and show the amount of money in the savings account since she began her part-time job what is her monthly rate of savings
Answer:
she saves $24 dollars every month. 36 + 24 =60 +24 =84 +24 =108 +24 =132 :)
Which transformation gives the same result as a reflection over the x-axis followed b
a reflection over the y-axis?
Answer:
filtration system is not working
filtration
The ratio of the corresponding dimensions of two similar parallelograms is 3.1. The
ratio of the base to height for each parallelogram is 5:4. If the height of the smaller
parallelogram is 100, what is the base of the larger parallelogram?
A А
125
В.
240
C.
300
D.
375
Surface area of triangular prism
Answer:
264 Km²
Step-by-step explanation:
cross sectional perimeter of the triangular prism= 9+8+7= 24Km
now,
total surface area= C.S.P × height of the figure
= 24 × 11
= 264 km²
Which is the equation of the line with y-intercept -2 and slope 6.
Answer:
The equation would be y=m-2+6
Step-by-step explanation:
Have a great day :)
100÷50000 it's has to be step by step aka show work
100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.
Which of the following values are in the range of the function graphed below? Check all that apply
Answer:
B
-10-10=20
10+10=20
20/20=0
An angle measures 2 more than the measure of its complementary angle
Answer:
let x be the complementary angle
then x + 2 is the angle
x+2 +x =90
2x = 88
x = 44°
x + 2° = 46°
If n(A)=11 and n(B)=18,find the maximum value of n(AnB).
The maximum value of n (A ∩ B) occurs when A ⊂ B (i.e. when A is a subset of B), in which case A ∩ B = A, and so max{n (A ∩ B)} = n (A) = 11.
1. Three products from renewable resources are
Answer:
biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.
What is the first step in solving this system by elimination?
2x + 10y = -20
-x + 4y = 28
A. Multiply the first equation by -2.
B. Combine the equations as they are.
C. Multiply the second equation by 2.
D. Multiply the second equation by -4.
You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.
Answer: c. Multiply the second equation by 2.
What is the equation of the line that passes through the point (3,-7) and has a undefined slope
Answer:
x = 3
Step-by-step explanation:
A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.
Line through (3, -7)To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:
x = 3 . . . . . . vertical line through (3, -7)
Decrease 4,500 by 18%.
Answer:
5,310.
Step-by-step explanation:
Answer:
3690
Step-by-step explanation:
Simplify 18% to 0.18
4500-(4500×0.18)
4500-810
=3690
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
Negative StartFraction 15 Over 2 EndFraction
Negative one-half
StartFraction 22 Over 9 EndFraction
StartFraction 24 Over 7 EndFraction
Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation:
Dr. Perry conducts a study in which she evaluates the effectiveness of an adult literacy program. The study is both quantitative and qualitative in nature, and the 30 participants are treated as equal researchers in the study. What research method is Dr. Perry MOST likely to use
The method is Dr. Perry most likely to use is Participatory action research.
Participatory action research is a type of research characterized by :
Qualitative and quantitative method Active participation of the community involved in the researchAdditionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.
According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.
On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.
Learn more in: https://brainly.com/question/15930435
Note:
This question is incomplete because the options are missing. Here are the options.
A. Case study
B. Naturalistic observation
C. Participatory action research
D. Focus group
Will give brainliest to correct answer
Answer:
30 lamps
Step-by-step explanation:
30*2= 60
The hypotenuse of a right angled triangle is 8 cm more than its shortest side. The third side is 1 cm shorter than the hypotenuse. Find the three sides of ths is triangle.
Answer:
hypotenuse = 13
shortest side = 5
third side = 12
Step-by-step explanation:
Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that
a²+b² = c² using the Pythagorean Theorem.
We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b
c= 8+a
c-1 = b
a²+b² = c²
One thing we can do is to solve for everything in terms of c and solve the third equation from there
c= 8+a
subtract 8 from both sides
c-8 = a
a²+b² = c²
(c-8)²+b² =c²
b = c-1
(c-8)² + (c-1)² = c²
expand
c²-16c + 64 + c² - 2c + 1 = c²
2c² - 18c + 65 = c²
subtract c² from both sides to make this an equation that we can more easily solve
c² - 18c + 65 = 0
To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have
c²-13c-5c + 65 = 0
c(c-13) -5(c-13) = 0
(c-5)(c-13) = 0
Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12
1. Is the figure defined by points H, I, J, and Ka rhombus?
Answer: No
Step-by-step explanation:
Because in a rhombus all sides are equal.
In this opposite sides are equal and not all sides.
please click thanks and mark brainliest if you like :)
Answer:
no
Step-by-step explanation:
the definition of a rhombus is a quadrilateral with 4 equal sides so we just have to either prove all the sides are equal or that two or more sides are not equal.
to do this use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
HI=5 (it's a horizontal line so it's just |-8-(-3)|=5HK=[tex]\sqrt{(-8+9)^2+(8-2)^2}[/tex]=[tex]\sqrt{1+36}[/tex]=[tex]\sqrt{37}[/tex] it isn't equalHIJK is a parallelogram but not a rhombus
Determine el radio vector del punto medio del segmento que se forma al unir los puntos (-8, 7) y (6, 3).
Es para hoy
Answer:
The radius vector is (-8, 7) and (-1 , 5).
Step-by-step explanation:
Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).
The end points are (- 8, 7) and (6, 3) .
The mid point is given by
[tex]x = \frac{x' + x''}{2}\\\\y = \frac{y' +y''}{2}\\\\x =\frac{- 8 + 6}{2}=-1\\\\y = \frac{7+3}{2} = 5[/tex]
So, the radius vector is (-8, 7) and (-1 , 5).
what is mathematics let's check your mind who know this I will give 10 on a
Answer:
Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.
Step-by-step explanation:
Answer:
Mathematics is like the study of numbers and relationships I guess.
Step-by-step explanation:
All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.
Basic Arthimetics seems to use ratios when counting, or patterns, ect.
