Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
learn more about permutation and combination here :
https://brainly.com/question/28720645
#SPJ2
what is the coefficient of a^8b^2 in the expansion (1/3a^2 - 4b)^6
Step-by-step explanation:
(1/3a^2-4b)^6 for such an expansion the general term is
[tex]tr + 1 = \binom{6}{r} \times ( \frac{1}{3} {a}^{2} ) ^{6 - r} \times (4b)^{r} [/tex]
we want b^2 so r=2
so the formula transform to:
C6,2*(1/3)^4*a^8*4^2*b^2 so the coefficient of a^8b^2 is
(6*5/2*1)*(1/3^4)*4^2=
6*5*4*4/2*3*3*3*3=16*5/27=80/27
What is the additive inverse of 9/10
Answer:
-9/10
Step-by-step explanation:
check answer:
number + additive inverse = 0
9/10 + -9/10 = 0
Create two tables with at least four coordinates each. In the first table, choose coordinates that make the relation a function. In the second table, choose coordinates that don't make the relation a function. Explain in complete sentences how you determined which coordinates would define a function and which coordinates would not.
9514 1404 393
Answer:
function: (1, 98), (2, 98), (3, 2), (4, -86)not a function: (1, 98), (2, 98), (3, 2), (3, -86)Step-by-step explanation:
A relation that is a function has unique x-values. A relation that is not a function has at least one x-value that is repeated. The y-values do not need to be unique in either case, except that a repeat of the same (x, y) pair does not disqualify a relation from being a function.
In the table shown above, the non-function has the x-value of 3 repeated with different y-values.
Fine a number whose sum with 44 is the same as its product with 12. Please explain the steps to solve.
Answer:
4
Step-by-step explanation:
x + 44 = 12x
44 = 11x
x = 4
Solve for x
4.
7
1
5X-20
X +
4X= -90
X=
(Type an integer or a simplified fraction.) PLEASE HELP!!
Answer: 100
Step-by-step explanation:
Either manually separate X
Or use ur calculator
A correct notation for writing a complex word
Answer:
D-a+bi
Step-by-step explanation:
its a+bi because a is a real number and i is an imaginary number and when we combine a real and imaginary number together we get a complex number.
Pls help me I don't get it at all?
Answer:
the answer is b
Step-by-step explanation:
use symbolab
9 hundreds equals how many tens
Answer:
90 tens
Step-by-step explanation:
900 = 10x
Variable x refers to how many 10's are needed to equal 900
To solve for this, divide both sides of the equation by 10
900 ÷ 10 = 10x ÷ 10
90 = 1x
90 = x
It will take 90 tens to equal 900
Part A
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
Sine he runs 2 miles on Monday, we already have a +2.
Then, he runs by a constant rate of 1, which is the constant rate of change per day.
Let x represent the number of days he runs and y the total amount of miles he runs. Now, the equation is y = x + 2
However, he needs to run at least 6 miles. At least means greater than or equal to. The values for y can be greater than 6, or equal to 6.
y ≥ 6
y = x + 2
Now substitute x + 2 for y.
x + 2 ≥ 6
Subtract 2.
x ≥ 4
This is the inequality. He has to run for at least 4 days.
Explain how to divide an integer by a decimal
Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.
Step-by-step explanation:
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets?
Answer:
$132
Step-by-step explanation:
48÷4=12 so 12 times 11 equals 132
If f (x) = one-ninth x minus 2, what is f>1(x)
Answer: f-1(x) = 9x + 18.
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = x - 2 ( add 2 to both sides )
y + 2 = x
Multiply through by 9 to clear the fraction
9y + 18 = x
Change y back into terms of x
(x) = 9x + 18
Answer:
Answer: f-1(x) = 9x + 18.
Step-by-step explanation:
In the sentence below, which word or phrase refers to a mathematical operation?
While driving on the freeway, Jennifer was operating her vehicle at 10 miles per hour more than Amy.
A. more than
B. miles
C. 10
D. operating
Answer:
a
Step-by-step explanation:
for she was going faster then amy
Mrs. Manzo's class has 20 girls and 25 boys. She wants to put them into
identical groups with the same number of boys and girls in each group.
What is the greatest number of groups she can make? *
Answer:
She can make up to 5 groups.
Step-by-step explanation:
We have to find the first divisible number that are divisble for each 20 and 25.
Divisible numbers of 25: 1, 5 Divisible numbers of 20: 1,4, 5, 10
Therefore 5 is the answer. GIMME BRAINLIEST PLS AND THANKS xD
what is a non translation and a translation
Answer:
ye
Step-by-step explanation:
yeyeyyeyyeyeyye
Answer:
In Translation Studies the term ‘non-translation’ is used in a number of different manners, for instance in reference to (a) original texts (versus translated texts), (b) fragments of source text preserved in the original language in the target text, (c) a deliberate refusal to translate a given author or work and (d) the lack or scarcity of translations.
Step-by-step explanation:
Each day Marisa runs the same distance. She ran 35 miles in the last 5 days. What is the unit rate?
Answer:
7 miles
Step-by-step explanation:
As, we will take unit rate as "x"
So, for one day = x distance
For 5 days = 5(x)
For 5 days she covered 35 miles
So therefore,
5(x) = 35 miles
X= 35/5
X=7 miles
For a day= 7 miles are covered
Helpp meee pleaseeeeeeeeeee !!!!
Step-by-step explanation:
since the domain of the function is given, you just have to plug in the numbers to the function:
13x - x²
it's basically asking: if x was any of the numbers in the given domain, what would it be the answer be?
for example:
I'll solve for -2 and you can do the rest.
13 • -2 -(-2 ²) =
13 • 2 + 4 =
26 + 4 = 30
so the range for -2 would be 30
PQRS is a parallelogram, m∠P=121∘ , and m∠S=(7x−4)∘ .
What is the value of x?
Answer:
Step-by-step explanation:
121+7x-4=180
7x-4=180-121=59
7x=59+4=63
x=63/7
x=9
It will be nice if you give me brainliest. Good luck!
Explain how to use the distributive property to find the product 3 x 4 1/5
Answer:
12.6
Step-by-step explanation:
The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!
The product of 3 x [tex]4\frac{1}{5}[/tex] is 12.6.
What is Number system?A number system is defined as a system of writing to express numbers.
The distributive property tells us how to solve expressions in the form of a(b + c).
The given expression is 3 x [tex]4\frac{1}{5}[/tex]
This expression can be written as 3(4+1/5)
The value of 1/5 is 0.2
3(4+0.2)
Now add 4 and 0.2
3(4.2)
Now multiply 3 and 4.2
12.6
Hence, the product of 3 x [tex]4\frac{1}{5}[/tex] is 12.6.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?
A. The student used the difference as the percent increase. The actual percent increase is about 105%.
B. The student used the difference as the percent increase. The actual percent increase is about 17%.
C. The student forgot to add 100% for the original price. The actual percent increase is 105%.
D. The student forgot to add 100% for the original price. The actual percent increase is 117%.
Answer:
it b
Step-by-step explanation:
hope it help
Which statement about the function
y=-1/4x-2
is true?
A As the value of x increases, the
value of y increases.
B As the value of x decreases, the
value of y stays the same.
C As the value of x increases, the
value of y decreases.
D As the value of x decreases, the
value of y decreases.
Answer:
i think its D
Step-by-step explanation:
ILL GIVE BRAINLY my bruh
Does the following table show a proportional relationship between the variables ggg and hhh?
ggg 333 666 999
hhh 999 363636 818181
Answer:
the answer is no
Step-by-step explanation:
khan said so
Answer:
No
Step-by-step explanation:
All three ratios aren't the same number when simplified
A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?
Answer:
$ 49.64
Step-by-step explanation:
Selling price of cookie on Wednesday = 13 × 2.38 = $30.94
Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28
Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48
Cost price for cookie = 13 × 1.7 = $ 22.1
Cost price for brownie = 4 × 1.91 = $ 7.64
Cost price for cakes = 4 × 5.83 =$ 23.32
Total profit for Wednesday= Total selling price - total cost price
That is;
(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64
what is the coefficient of the simplified expression?
3x+2-3x+7+5x
Answer:
5x+9 (im pretty sure but i could be wrong) but hope i helped
Step-by-step explanation:
2/3x+3/4=8 what is the answer
Answer:
x=87/8
Step-by-step explanation:
2/3x=8-3/4
2/3x=32/4-3/4
2/3x=29/4
x=29/4*3/2
x=87/8
James wanted to know if Earth and Mars added together were as big as Jupiter.
Earth is 1.28 X 1007 m
Mars is 6.79 X 10^6 m
jupiter is 1.43 X 10^8 m
Add the diameters of earth and Mars to see if they are bigger than Juipter. Show your work
+
Answer:
Mars is 6.79 X 10^6 m
Step-by-step explanation:
Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.
Answer:
Mars is 6.79 X 10^6 m
Step-by-step explanation:
Make him brainliest!
Which of the following relations is a function?
• {(1.-6). (3. - 5), (1,0)
O None of the other answers are correct
Of(0,5), (5, -1). (5,9)
o {(6,1), (6,2), (6,3)}
o {(0,8), (1,7) (2,6)}
Answer:
I am awesome at these!!
Step-by-step explanation:
Only the last one is a function. This is because there are no repeating x values, which are the first numbers. It is okay for there to be repeating y values, but not x.
HELP Lines a, b, c, and d intersect as shown below.
What is x
Answer:
x = 109°
Step-by-step explanation:
Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.
Therefore, angle x and the angle measure of 109° are alternate exterior angles.
Alternate exterior angles are congruent.
x = 109°.
Solve for l: A = 1/2 lw
l= 2a
w
Step-by-step explanation:
there you go in the picture i created for you
Answer:
[tex]l=\frac{2a}{w}[/tex]
Step-by-step explanation:
I am smart.