Answer:
n = 19/6
Step-by-step explanation:
Formula for C(n,r) = n!/(r!(n-r)!)
C(n,3) = n! /( 3! * (n - 3)!)
Formula for P(n,r) = n!/(n-r)!
P(n,2)= n!/(n-2)!
C(n, 3) = P(n, 2)
n! /( 3! * (n - 3)!) = n!/(n-2)!
[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply
n!(n-2)! = n! 3! (n-3)!
(n-3)! = (n-3)(n-2)!
so n!(n-2)! = n! 3! (n-3)! becomes
n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!
1 =6(n-3)
1 =6n -18
19 = 6n
n = 19/6
Awnser needed thank you!
Answer:
Step-by-step explanation:
I think 33°
Answer:
its 34 i think
Step-by-step explanation:
Suppose that you received an unexpected inheritance of $39,200.You have decided to invest the money by placing some of the money in stocks that pay 4.8% and the rest in bonds that pay 8%.How much should you place in each investment in order to earn 6%or $2352 annually?
Help me with this question please
Answer:
x < 6
Step-by-step explanation:
There is an open circle ( no equals) at 6 and the line goes to the left
This means that it is less than 6
x < 6
X = 4/5 (x+10)
Find x
Answer:
[tex]x=40[/tex]
Step-by-step explanation:
[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]
Answer:
40
Step-by-step explanation:
x+10= x 5/4
x +10= 5x/4
4x+40= 5x
40= x
x=40
Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??
Answer:
Step-by-step explanation:
for 140
miles he had slept
A file that is 246 megabytes is being downloaded. If the download is 12.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
30.8
Step-by-step explanation:
We can mutiply 246 by 0.125 to get the answer.
246 * 0.125 = 30.75 = 30.8
Answer:
30.8 megabytes
Step-by-step explanation:
We know that 12.5% of the 246 megabytes have been downloaded.
Of, means multiply. Therefore, we must multiply 12.5% and 246.
12.5%*246
Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.
12.5/100=0.125
12.5–> 1.25 —> 0.125
0.125*246
Multiply
30.75
We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.
30.8
30.8 megabytes have been downloaded.
A. A worker with 1700 hours of training is paid $40 per month.
B. A worker who works 40 hours is paid $1700.
C. There are 40 workers who are paid $1700 per month.
D. A worker with 40 hours of training is paid $1700 per month
Answer:
d.
Explanation:
Look at the title of the categories in the chart. 40 is categorized under “hours of training,” meaning 40 hours of training. 1700 is categorized under “monthly pay.” Put the information together and it means $1,700 for 40 hours that month.
PLEASE HELP WILL MARK BRAINLIEST
Linda made 5 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 5 necklaces was $18.50 . If the beads cost $1.50 for each necklace, how much did each pendant cost?
Answer:
$2.20
Step-by-step explanation:
If the beads cost $1.50 for each necklace, then we have to do $1.50 X 5 = $7.50
Then, $18.50 - $7.50 = $11
Then $11/ 5 = $2.2
The slope of AB is -2/5. Segments CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5
lets see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
1. Find the measure of angle b (image attached below)
2. Find the measure of angle b (image attached below)
Answer:
1. 37° 2. 140
Step-by-step explanation:
They are supplementary angles, so the angle measures equal a straight line, or 180 degrees. 180 - 143 = 37
Add 7m/16+(-m/16) . Reduce, if possible.
Plzz answer quickly
Answer:
6m/16 = 3m/8
Step-by-step explanation:
since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).
7m +(-M) is the same as 7m - m, so that is 6,
when you put it back together, you get 6m/16, simplify it to 3m/8
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
An oil company fills 1/10
of a tank in 1/5, hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?
10
10 hours
01
. 5 hours
10
.
1
10
hour
5
5-10 hours
Answer:
So if the company fills in 1/10 of a tank in 1/5 hour. We should multiply by 10
so that means that the tank will be 100% full because 10/10 = 100%
That also means we need to multiply it by 1/5. 1/5*10 = 10/5.
Therefore we get 2 hours.
Thanks for the question. I am working my way up to brainliest and and Master Answerer
Step-by-step explanation:
How much is $100 U.S. dollars in Indian rupees?
Ms. Jenks bought 1.75 pounds of ham and 0.8 pound of turkey from the deli. How many more pounds of ham than turkey did she buy?
Which is equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answer:Its A
Step-by-step explanation:
Its A because its right believe me
equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct
what is equivalent expression?Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.
Given information;
The expression given in the problem is,
(1/4) x [tex]x[/tex]
Equivalent expression;
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,
1/4 x [tex]x[/tex]
As the above function is the function of x. Thus it can be written as,
f(x)= 1/4 x [tex]x[/tex]
The number four is the product of number 2 and number 2. Thus,
f(x)=(1/2x2) x [tex]x[/tex]
f(x)=(1/2 x 1/2) x [tex]x[/tex]
Hence the given equation is equivalent to the expression one half and one half x.
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Jenna is buying 6 new shirts at $18 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending? pls can someone help me
The calculation 18/6=108 is not the right representation.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: One of the option as 18/6=108
But in the question Jenna buys 6 new shirts at $18
Thus the total cost of the shirts is 18*6=108
But 18/6=3
Thus this expression is not the right calculation.
Hence, The 18/6=108 is not the right representation.
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I WILL MARK YOU BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
which of the following descriptions represent the transformation shown in the image? Part 1b
Answer: b) 2 units left, 4 units up, reflect across y-axis
Step-by-step explanation:
The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.
The second option is the one that works.
please help for brainliest answer
Answer:
3360 cm^2
Step-by-step explanation:
24 times 14 times 10 = 3360
I need help with this :(
Answer:
1. 4 2. 4 3. 5 4.1
Step-by-step explanation:
first box is 4 second box is 4 third is 5 fourth is 1.
You're welcome.
Solve 4x- 9 = k for x.
A. x= k+ 9
B. X=
K-9
4
C. X=
k+9
4
D. x = 4 + 9
Answer:
x = (k+9)/4
Step-by-step explanation:
4x - 9 =k
Add 9 to each side
4x-9+9 = k+9
4x = (k+9)
Divide each side by 4
4x/4 = (k+9)/4
x = (k+9)/4
Answer:
The answer is C
Explanation:
you first add 9 to both sides, you equation will then be 4x = k+9
you then divide both sides by for to get rid of the four from the left side, that will leave you with the equation of x = k+9 over 4
What is the value of the expression 9×4−(2×12)? Enter your answer in the box.
Answer:
12
Step-by-step explanation:
9x4-(2x12)
= 36-24
= 12
Use Venn diagram notations to describe the shading of
Answer:
A intersection B or A Π B
Step-by-step explanation:
The intersection of A and B is the set of all those elements which belong to both A and B.
In given Venn diagram describe the shading region is A intersection B or A ∩ B
What is Venn diagram?A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.
According to the question
The intersection of A and B is the set of all those elements which belong to both A and B.
Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B
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plz hurry and answer i will give brainliest
what is 2*2+6/2*3
Answer:
This would equal 13.
2x2=4, 6/2=3, 3x3=9, 9+4=13
Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410
Answer:
amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.
Step-by-step explanation:
Let x be the amount invested in funds that earned 10%.
Then the amount invested in stock that suffered 3% loss is 28,000 - x.
The profit from investment in funds is 10%x
The loss from investment in stock is 3%(28,000 - x).
The net profit is 10%x - 3%(28,000 - x).
As the net profit given in the problem is $2410, we have:
10%x - 3%(28,000 - x) = 2410
Solving for x, we have:
10x - 3(28,000 - x) = 241000 (multiply both sides by 100)
10x - 84000 + 3x = 241000
13x = 241000+84000
13x = 325000
x = 325000/13
x = 25,000
So
the amount invested in funds that earned 10% is $25,000.
the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.
Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
Carter has 123 songs on a playlist. He's categorized them in the following manner: 11 gospel, 25 country, 21 blues, 6 folk, 16 pop. 14 jazz.
and 30 rock. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a gospel song? Express
your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plsssss help
Answer:
11/123
Step-by-step explanation:
P( gospel) = number of gospel songs/ total
= 11/123
w
b
Х
What is the value of c?
4
4 units
a
с
0 5 units
Y
6 units
3
Z
O 7 units
The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units
How to determine the value of c?Considering the triangle WYZ, we make use of the following Pythagoras theorem
c² = 4² + 3²
Evaluate the exponents
c² = 16 + 9
Evaluate the sum
c² = 25
Take the positive square root of both sides
c = 5
This means that the value of c is 5 units
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olivia has 2 gallons and 3 quarts of vanilla ice cream and 1 gallon and 2 quarts of ice cream left over form the party how many gallons and quarts does she have left
Answer:
She has 4 gallons and 1 quart left
Step-by-step explanation:
4 quarts equals a gallon. Add the 2 gallons with the one gallon and it's 3 gallons. Then add the 3 quarts with the other 2 quarts for another gallon with a quart left over. Add that gallon with the other three and she has 4 gallons and 1 quart. Hope this helps :>