Answer:
108.16
Step-by-step explanation:
A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many different ways could the committee be mad?
Answer:
8190 ways
Step-by-step explanation:
Given
[tex]Teachers = 6[/tex]
[tex]Students = 15[/tex]
Selection
[tex]Students = 4[/tex]
[tex]Teachers = 5[/tex]
Required
Number of ways of selection
4 students can be selected from 15 students in:
[tex]Students= ^{15}C_4[/tex]
Similarly.
5 teachers can be selected from 6 teachers in:
[tex]Teachers= ^{6}C_5[/tex]
So, the required number of selection is:
[tex]Selection = ^{15}C_4 * ^6C_5[/tex]
Apply combination formula:
[tex]Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}[/tex]
[tex]Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}[/tex]
[tex]Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}[/tex]
[tex]Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}[/tex]
[tex]Selection = \frac{32760}{24} * 6[/tex]
[tex]Selection = 1365 * 6[/tex]
[tex]Selection = 8190[/tex]
write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)
Answer:
y = -2/3x + 4/3
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
comparing what we have with the general form;
y = mx + b
The slope of the given equation is 3/2
To get the slope of other;
3/2 * m = -1
3m = -2
m = -2/3
So we want to write the point-slope equation
y-y1 = m(x-x1)
y-2 = -2/3(x + 1)
3y - 6 = -2x -2
3y = -2x -2 + 6
3y = -2x + 4
y = -2/3x + 4/3
let x=6 and z=2 write the ratio in simplest form
12. 2x=y/3
13.4z-3/x
Answer:
12. 10/3, which simplifies to 3 1/3
13. 5/6
Step-by-step explanation:
What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-
Answer:
12
Step-by-step explanation:
i counted 12 units from A to get to B
Answer:
I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.
Please help with these questions there due today.
pls help I don't get this
Answer:
yeah same
Step-by-step explanation:
Answer:
The first and fourth answer.
Step-by-step explanation:
There are eight fluid ounces in one cup. One cup has eight fluid ounces.
I need help ... please help
Answer:
the answer would be 35
Step-by-step explanation:
when u go up, you go up by 35 and run 1. therefore the answer is 35
1) Alex bought some chips and pop for his class party. He bought a total of
32 items. Each bag of chips cost $0.75 and each bottle of pop cost $2.19.
He spent a total of $39.84. How many bags of chips and how many bottles
of pop did he buy?
Answer:
21 bags of chips and 11 bottles of pop
Step-by-step explanation:
(0.75 × 21)+(2.19 × 11) = $39.84
Answer:
18
Step-by-step explanation:
Divide the 39.84 to 2.19 because the question was find how much pop bought
The following two triangles are similar. Side AB = 25, side PQ = 5, and side BC = 15. What is the length of side QR?
Answer:
25
Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated
Answer:
25
Step-by-step explanation:
Round each number to the nearest hundred and then estimate the answer.
then
349 + 1,978
2,300
2,400
2,500
2,200
Answer:
300 + 2,000 = 2,300
Step-by-step explanation:
349 = 300
1,978 = 2,000
because the 4 is less than 5 and any number greater than 5 is rounded up and any number less than 5 is rounded down
Who can answer this ??
Answer:
I believe the answer is B. nonlinear
Step-by-step explanation:
A Cake mix contains sugar and flour. The mass of the sugar is 14 2/7% of the mass of the flour. What is the percent of flour in the cake mix ?
:D
Answer:
700/8% or 87.5%
Step-by-step explanation:
Answer:
700/8% or 87.5%
Step-by-step explanation:
Ur welcome
Solve for X
[tex]lnx^{2} =-2[/tex]
please show steps
I have the answer,
I just want to know how to do this :)
Answer:
[tex]x = \pm e^{-1}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving quadraticsMultiple rootsAlgebra II
LogarithmsEuler's number eStep-by-step explanation:
Step 1: Define
[tex]\displaystyle ln(x^2) = -2[/tex]
Step 2: Solve for x
Raise both sides by e: [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation: [tex]x^2 = e^{-2}[/tex]Square root both sides: [tex]x = \pm e^{-1}[/tex]Answer:
Step-by-step explanation:
lnx^n=nlnx
[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]
9 divided by 2/3 - 7/12
answer quick pls
!!!
In a group of 20 students, 8 have brown eyes. What percent of the students have brown eyes?
Answer:
40%
Step-by-step explanation:
What is the initial value of the function represented by this graph?
Answer:
We conclude that the initial value of the function is 6.
Hence, option D is correct.
Step-by-step explanation:
The initial value of the function can be determined by setting x = 0 and determining the corresponding y value.
In other words, the initial value is basically the y-intercept of the graph.
It is the output value when the input value x = 0.
Given the graph, it is clear that:
at x = 0, y = 6
Thus, at x = 0, the value of y is 6.
i.e. the y-intercept b = 6.
Therefore, we conclude that the initial value of the function is 6.
Hence, option D is correct.
Answer:
6
Step-by-step explanation:
The initial value is the y-intercept or where the line crosses the y axis.
All flour from five bags with 3/8
lbs of flour in each was divided
into equal parts to make 7 loaves of bread. How can you
calculate the amount of flour used for each loaf? Select all that
apply.
(A) 3/8·7/5 (B) 3/8·5/7(C) 3/8÷7· 5(D) 3/8· 7÷5 (E) 3/8÷5· 7 (F) 3/8· 5÷7
Answer:
B, C and F
Step-by-step explanation:
A snack mix recipe uses a radio of 3/4 pound of dried apples to 1/2 pound of dried pears. What amount of dried apples would be needed per pound of dried pears?
Answer:
[tex]1\frac{1}{2}\:\mathrm{or\:}1.5\:\mathrm{pounds}[/tex]
Step-by-step explanation:
The current ratio is 3/4 pound of dried apples per 1/2 pound of dried pears. Since the new amount of dried pears is 1 pound or double the initial amount, the new amount of dried apples will be double the initial amount:
[tex]\frac{3}{4}\cdot 2=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\:\mathrm{pounds}[/tex].
A telephone company charges its customers per minute to make long-distance calls. The cost, c, can be represented by c = .12m where m is the number of minutes. Which type of number is most reasonable for the domain of the situation?
Answer:
m ≥ 0
Step-by-step explanation:
Since the cost is represented by c = 0.12m, the domain should be a positive number, this is because number of minutes can't be written in negative. Therefore, the most reasonable number for the domain would be the set of positive whole numbers which means, m≥0.
The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.
Answer:
when you do 15×528 you get 7920 books
6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
find the greatest common factor of the number 12
Answer:
4 is the greatest common factor of 12
Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?
a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x
The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
Given that,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
We have to determine,
The equation which represent y.
According to the question,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
The equation for representation the total cost y of x pounds is written as.
Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.
The equation for total cost of y of x pounds,
y = (7.25).(x)
y = 7.25x
Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
For more information about Linear equation click the link given below.
https://brainly.com/question/22272773
Please help I’ll give u 5 points
Answer:
1/2cup
as if 3and1/2cup is divided into 4people then in every one will get half cup.
Answer:
Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.
Step-by-step explanation:
The problem is essentially asking;
[tex]3\frac{1}{2}[/tex] ÷ 4
(4 because the pudding has to be divided amongst Regina and her 3 friends, hence 4 people)
To divide fractions, first one has to convert from improper fractions to mixed numbers;
[tex]\frac{7}{2}[/tex] ÷ 4
Next, one has to reciprocate the second fraction, since the second number is an integer, one simply has to put the number as the denominator, and set the numerator to 1.
[tex]\frac{7}{2}[/tex] * [tex]\frac{1}{4}[/tex]
Now, one has to perform the multiplication, simply multiply the numerators and denominators together (there is no way of simplifying in this problem);
[tex]\frac{7}{8}[/tex]
Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.
✨1 kai 1 poso kanei✨
Answer:
i'M bOuTA.. DOIVE
Explanation:
Help meeeeee! plsssssssssssssssssssssssssssss
Step-by-step explanation:
Store a must offer 30%
find the greatest common factor of the following:
c) 2xy⁵, 6x³y³
d) 6x²y², 9xy³, 3x⁴y⁴
f) 10ab, 20bc, 30ca
Answer:
c
[tex]2x {y}^{3} [/tex]
d
[tex]3x {y}^{2} [/tex]
f.10
Step-by-step explanation:
C. first you have to find the HCF of 2 and 6 then the HCF of
x and
[tex] {x}^{3} [/tex]
and
[tex] {y}^{5} and \: {y}^{3} [/tex]
Then:
[tex]2x {y}^{3} [/tex]
D.first you have to find the HCF of 6 ,9 and 3 then the HCF of
[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]
then the HCF of
[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]
then:
[tex]3x {y}^{2} [/tex]
F. I'm not sure but 10
if its helpful ❤❤❤❤
THANK YOU.
Yea I don't know this app But I heard people leaked my phone number and calling and someone saying I'm a actor yes... Please stop it it's annoying and I'm only 13
Answer: Hmm I don't know that you're an actor and hey u can report them if they leaked your phone number
Step-by-step explanation:
Answer:
Yes. I heard, but I don't know know who are you. Don't worry I will keep an eye out.
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
14 m= ft